The hypotenuse of the right triangle is found to be 6√2 ft.
What is defined as the Pythagorean theorem?A right triangle contains a single 90 angle within it, which is known as a right angle.The hypotenuse is really the side straight from the right angle in a right triangle. It is the only side of a triangle that does not form a right angle.The Pythagorean Theorem describes the relationship between the sides of a right triangle, where c represents the hypotenuse and a and b represent the sides that form the right angle.The formula is as follows:
H² = B² + P²
where, H is the hypotenuse.
B is the base
P is the perpendicular.
In the given question, hypotenuse is to be calculated.
Lets, base B = 6 ft and
Perpendicular P = 6 ft.
Thus, put the values in the formula;
H² = 6² + 6²
H² = 2×6²
Taking square root on both sides.
H = 6√2
Thus, the value of the hypotenuse if the right angled triangle is found as 6√2 ft.
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6. Blake plans to walk between 10 mi and 15 mi a week. He walks at a rate of 5 mph., Write, solve, and
graph an inequality to model how many hours Blake will be walking. (3 pt)
Answer:
2 ≤ x ≤ 3 where x represents the number of hours walking
Step-by-step explanation:
The distance to walk in miles can be modeled as the following inequality
Let x represent the number of hours Blake will be walking.
To cover 10 mi at 5 mph, Blake will take 10/5 = 2 hours
To cover 15 mi at 5 mph, Blake will take 15 /5 = 3 hours
The actual number of hours walked must lie within these limits
So
2 ≤ x ≤ 3 where x represents the number of hours walking
find the product of the integers 2(-4)
Answer:
-8
Step-by-step explanation:
2(4)=8, and a negative number times a positive number results in a negative number.
James has factorised an expression correctly.
His answer is 2(7y - 3).
What was the expression that he factorised?
Answer:
14y - 6
Step-by-step explanation:
given factored expression
2(7y - 3) ← multiply each term in the parenthesis by 2 to give original
= 14y - 6 ← expression before being factorised
would you classify 156 as a perfect square perfect cube both or neither
En 1999 la ciudad tenía 300 gatos callejeros y se ha demostrado que la cantidad de gatos crece un 10% año con año, ¿Cuántos gatos callejeros hay en la actualidad?
Number of cats cannot be a decimal value, therefore, Total number of stray cats in the city today are 2686, rounded off from 2686.29.
As per the question statement, a certain city had 300 stray cats in 1999, and the number of cats are growing by 10% every year since then.
We are required to calculate the total number of stray cats in the city today.
To do so, we will need to know the formula of compound interest which goes as [tex]A=[P*(1+\frac{R}{100})^n][/tex]
Where, A = Final Amount i.e., (Principle + Interest).
P = Principle on which Interest in compounded
R = Rate of Compound Interest per annum
n = Time period of interest.
Here, (P = 300), (R = 10) and [n = (2022-1999) = 23]
Using these values of P, R and n in the above-mentioned formula to calculate the amount in the case of compound interest, we get,
Total number of stray cats in the city today (T) = [tex][300*(1+\frac{10}{100})^{23} ][/tex]
[tex]or, T=[300*(\frac{100+10}{100})^{23} ]\\or, T=[300*(\frac{110}{100})^{23}]\\or, T=[300*(\frac{11}{10})^{23}]\\or, T=2686.29[/tex]
Since, number of cats cannot be a decimal value, therefore, Total number of stray cats in the city today are 2686, rounded off from 2686.29.
Compound Interest: Compound interest means that the interest increases exponentially, rather than increasing linearly over time, or in simpler words, it is a continuous interest on principal plus interest.
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i need help with this math and i don’t really understand
Answer:
Point G
Step-by-step explanation:
It is point G because since you mirrored it and flipped it, you need to flip figure one and if you move it to where figure two is, in the same place, the new point R is where point G is, so G corresponds to R
P.S. someone else aske the same question
Which length of time is between 5.50 am and 8.35 am ?
Answer:
3 hours and 25 minutes
Step-by-step explanation:
Since these times are both AM, you can just change the form to 8.35 and 5.50 and subtract.
8.35- 5.50 = 2.85
And since there are max of 60 minutes in an hour, you take the 60 minutes from the 85 minutes, and you're left with 3 hours and 25 minutes.
Hope this helped :D
Answer:
i think 165 minutes which would be 2.75 converted in hours
Step-by-step explanation:
Dan's car depreciates at a rate of 15% per year.
By what percentage has Dan's car depreciated after 3 years?
Give your answer to the nearest percent.
Answer:
45%
Step-by-step explanation:
15 x 3 = 45
There are 20 cubic feet of sand left over from a project. Mr. Wilson wants to build a sand box to hold the left-over sand. He built a rectangular box. The box is 5 feet long by 2 feet wide. How deep will the sand be once it is poured into the sandbox
The depth of the box once the sand is poured into it is 2 feet
Volume of a boxVolume of the sand left = 20 cubic feetLength of the box = 5 feetWidth of the box = 2 feetHeight of the box = x feetVolume of the box = length × height × width
20 = 5 × 2 × x
20 = 10x
divide both sides by 10x = 20/10
x = 2 feet
Therefore, the depth of the box once the sand is poured into it is 2 feet
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Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
to get the equation of any straight line, we simply need two points off of it, let's use those two from the picture below.
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-4)}}} \implies \cfrac{-6}{0 +4} \implies \cfrac{ -6 }{ 4 }\implies -\cfrac{3}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{(-4)}) \implies y -3=-\cfrac{3}{2} (x +4) \\\\\\ y-3=-\cfrac{3}{2}x-6\implies {\LARGE \begin{array}{llll} y=-\cfrac{3}{2}x-3 \end{array}}[/tex]
Find the domain and range !!!! HELP ASAP PLS
Step-by-step explanation:
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Need Help Asap! Will give Brainliest.
A rental car agency charges a flat fee of $131.00 plus $49.00 per day to rent a certain car. Another agency charges a fee of $77.00 plus $58.00 per day to rent the same car.
Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole number of days.6
11
3
12
The number of days for which the costs are the same is 6 days.
How to illustrate the information?Let the number of days be represented by d.
A rental car agency charges a flat fee of $131.00 plus $49.00 per day to rent a certain car. This will be
131 + 49d
Another agency charges a fee of $77.00 plus $58.00 per day to rent the same car. This will be
77 + 58d
Equate both equations
131 + 49d = 77 + 58d
Collect like terms
58d - 49d = 131 - 77
9d = 54
Divide
d = 54 / 9
d = 6 days.
Therefore, the number of days for which the costs are the same is 6 days.
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un confesionario tiene 120 coches el 35% son blancos y el 5% rojos. ¿cuántos coches de cada color hay?
1-Write each decimal as a fraction.
2- Write each fraction as a decimal.
The steps to express a fraction as a decimal is the reverse of the steps required to write a decimal as a fraction, with the resulting fraction being simplified further as follows;
0.3 is ten times as great as 0.03 and 0.003 is 1/10 of 0.030.001 = 1/10000.05 = 1/200.512 = 64/1250.309 = 309/10002/1,000 = 0.00234/100 = 0.34508/1000 = 0.50899/1,000 = 0.0990.007 = 7/1,0000.08 = 2/250.065 = 13/2000.9 = 9/100.832 = 104/1250.203 = 203/1,0000.78 = 39/500.999 = 999/1,000434/1,000 = 0.4343/10 = 0.3873/1,000 = 0.87317/1,000 = 0.17309/1,000 = 0.3095/1,000 = 0.0056/100 = 0.06999/1,000 = 0.999How are decimals obtained from fractions?To write a decimal as a fraction gives a fraction having all the digits of the decimal up to the last nonzero digit in the numerator, and 10 raised to the power, the number of places to the decimal point is moved up to the right of the last non zero digit, and vice versa.
Starting from question 2, we have;
2. 0.3 is ten times as great as 0.03, given that we have;
10 × 0.03 = 0.3
0.003 is 1/10 of 0.03, given that we have;
1/10 × 0.03 = 0.003
Expressing the decimals as fractions gives;
3. 0.001 = 1/1000
4. 0.05 = 5/100 = 1/20
5. 0.512 = 512/1000 = 64/125
6. 0.309 = 309/1000
Writing the fractions as decimals gives;
7. 2/1,000 = 0.002
8. 34/100 = 0.34
9. 508/1000 = 0.508
10. 99/1,000 = 0.099
Independent practice
Writing the decimals as fractions
11. 0.007 = 7/1,000
12. 0.08 = 8/100 = 2/25
13. 0.065 = 65/1,000 = 13/200
14. 0.9 = 9/10
15. 0.832 = 832/1,000 = 104/125
16. 0.203 = 203/1,000
17. 0.78 = 78/100 = 39/50
18. 0.999 = 999/1,000
19. 434/1,000 = 0.434
20. 3/10 = 0.3
21. 873/1,000 = 0.873
22. 17/1,000 = 0.17
23. 309/1,000 = 0.309
24. 5/1,000 = 0.005
25. 6/100 = 0.06
26. 999/1,000 = 0.999
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Let f(x)=x-2 and g(x)=x²-3 x+2 . Perform each function operation and then find the domain. -2 g(x)+f(x)
The outcome of -2 g(x) + f(x) is 4 x -2 x ² and the domain is [ 0 , 2 ] .
Given,
f (x) = x - 2 and g (x) = x² - 3 x + 2
The question states to find the summation of the function f, that is, f (x) = x - 2, and function g, that is, g (x) = x² - 3 x + 2
Performing the addition operation on these functions is just like simple addition.
This means that when we add the two functions f (x) and g (x), we get
f (x) + g (x) = x - 2 + x² - 3 x + 2
=> f (x) + g (x) = x ² - 2 x
This implies that the summation or addition of the two functions f (x) and g (x) gives x ² - 2 x
needed result = -2 g(x) + f(x) = -2 ( x² - 2 x ) = -2 x ² + 4x = 4 x -2 x ²
To find domain,
y = 4 x -2 x²
=> 4x -2 x² ≥ 0
=> 2 x * ( 2 - x ) ≥ 0
=> 2 x ≥ 0 and 2 - x ≥ 0
=>x ≤ 2 and x ≥ 0
=> the final Domain = [ 0 , 2 ]
Therefore, we get the result of -2 g(x) + f(x) as 4x -2 x ² and the domain as [ 0 , 2 ] .
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what are the area and perimeter of 7in 16in
The Area and Perimeter of the rectangle is 112 Inches² and 46 Inches respectively.
Suppose in question they are talking about rectangle.
So, let
Length (l) of rectangle = 16 Inches
Width (w) of rectangle = 7 Inches
As we have both sides of rectangle now we will determine the value of area and perimeter of rectangle.
Area of rectangle = l × w
= 16 × 7
= 112 Inches²
Perimeter of rectangle = 2( l + w )
= 2( 16 + 7 )
= 2 × 23
= 46 Inches
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Factor each expression.
3 x²+10 x+8
After solving, the factors of equation 3x²+10x+8 are:
(x+2) and (3x+4)What exactly is an equation?An equation is a mathematical statement made up of two representations joined by an equal sign.An equation is 3x - 5 = 16.After solving this equation, we get the value for the variable x as x = 7.So,
Given the equation: 3x²+10x+8
Then,
3x²+10x+8 3x²+x( + )+8 3x²+x(6+4)+8 3x²+6x+4x+83x(x+2)+4(x+2)Factors are: (x+2) and (3x+4)
Therefore, after solving, the factors of equation 3x²+10x+8 are:
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37. Ten people ordered calculators. The least expensive was
$19.95 and the most expensive was $39.95. Half ordered a
$29.95 calculator. Select the best estimate of the amount
spent on calculators.
a. $240
b. $310
c. $345
SECTION
d. $355
An G
spelle
per I
Exer.
The amount spent on calculators is $310 which is option (b) .
The class upper bound is the largest data value that the class can contain. The class lower bound of a class is the smallest data value that the class can contain. The average is the average of the given numbers, calculated by dividing the sum of the given numbers by the total number of numbers.It is given that half people ordered $29.95 calculator which means that 5 people have ordered $29.95 per calculator then , amount is given by
(number of people ) × cost per calculator = total amount spent
[tex]5\times29.95=\$149.75[/tex]
It is given that least expensive calculator was $19.95 and the most expensive calculator was $39.95.
Mean will be [tex]=\frac{least\ + \ most}{2}[/tex]
[tex]=\frac{19.95+39.95}{2} \\\\=\frac{59.9}{2} \\\\=29.95[/tex]
so the other 5 people have spent an average of amount [tex]=5\times29.95[/tex]
[tex]=\$149.75[/tex]
Total amount spent on calculators will be [tex]=149.75+149.75=\$299.5[/tex]
which is approximately equal to $310 which is option (b) .
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help! asap!! 10 points! will give brainliest!!!
Using the Pythagorean Theorem, we have that the distance from home plate to second base is about 127 feet.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared of the triangle, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
The distance between each consecutive base is of 90 feet, hence the distance from home plate to 2nd base is the hypotenuse of a right triangle in which the legs are of 90 feet, being the distances from home plate to 1st base and 1st base to 2nd base.
Then:
h² = 90² + 90²
h = sqrt(90² + 90²)
h = 127 feet.
The distance from home plate to second base is about 127 feet.
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Please answer the problems step by step. (More than one question)
1. (2-3)(-8+2)+|-3+5|=?
2. -|-2-5+3|(5-2)=?
3. use two unit multipliers to convert 80ft into centimeters
4. use two unit multipliers to convert 12 square feet into square inches.
Answer:
1) 8
2) -12
3) 80ft = 2438.4 centimetres
4) 12 square feet = 1728 square inches
Step-by-step explanation:
1) ➟ (2−3)(−8+2)+|−3+5|
➟ (-1)(-6)+(2)
➟ 8
2) (−|−2−5+3|)(5−2)
=(−|−7+3|)(5−2)
=(−|−4|)(5−2)
=−4(5−2)
=(−4)(3)
=−12
3) 80ft = 2438.4 centimetres
4) 12 square feet = 1728 square inches
4. If m/3 = 54°, find the measure of each missing angle.
540
4
2. 3
7
10
6/5
58
9
11
12 13.
14
a. m/1 =
36
b. m/2 = 40
c. m/4 =
36
d. m25 =
40
e. m26 = 54
f. m27 = 126
9. m28=
54
h. m29 = 126
i. m210 = 54
j. m/11=
54
k. m/12 = 126
1. m/13 = 54
m. m/14 = 120
Gina Wilson (All Things Algebra),2014
Using multiple line and angle theorems, the values of each of the 14 angles are given.
Using the geometry theorems :
1.)
∠2 is a right angle = 90°
2.)
∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)
90 + ∠1 + 54° = 180°
∠1 = (180 - 144) = 36°
(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;
Hence,
∠4 = 36°
∠5 = 90°
∠6 = 54°
∠3 = ∠8 = 54° (corresponding angles)
∠9 + ∠8 = 180° (sum of angle on a straight line)
∠9 = (180 - 54) =126°
∠7 = ∠9 = 126° (vertically opposite angles)
∠8 = ∠10 = 54° (vertically opposite angles)
∠4 = ∠13 = 36° (corresponding angles )
∠12 + ∠13 = 180° (sum of angle on a straight line)
∠12 = (180 - 36) =126°
∠11 = ∠13 = 36° (vertically opposite angles)
∠12 = ∠14 = 126° (vertically opposite angles)
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the angle is 11/12 on a circle
Here we will show you how to calculate the angle in degrees made by the hour hand and minute hand on a 12-hour clock at 11:12.
Before we continue, note that a clock is shaped like a circle and is composed of 360 degrees.
There are 60 minutes in an hour, and 360 degrees divided by 60 minutes is 6. Therefore, the minute hand moves 6 degrees per minute.
As you can see, the hour hand and minute hand showing 11:12 on the clock make an angle. We used the hands to make the pie chart below so it is easier to visualize what we are calculating.
The hour hand and minute hand on a clock showing 11:12 actually make two angles: The hour hand to the minute hand is outlined in blue, and the minute hand to the hour hand is outlined in red.
360 - (336 - 72) = 96 degrees
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GUYS I REALLY NEED HELP ON MATH!!!
Answer:
might be C
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have $113.50 to spend on parking and admission. Parking is $17.50, and tickets cost $24 per person, including tax. Which equation or tape diagram could be used to represent the context if x represents the number of people who can go to the amusement park?
Answer: X = 4
Step-by-step explanation:
A scientist has 315 cells in a container. she expects the number of cells to triple in one day. how many cells will the scientist have after one day? include all necessary work to support your answer.
If a scientist has 315 cells in a container and she expects the number of cells to triple in one day then the number of cells the scientist will have after one day is equal to 945.
The number of cells the scientist will have after one day can be figured out using multiplication. Multiplication is one of the four parts of arithmetic. It can be considered as the opposite of division and can be defined as the repeated addition of the same number or groups of equal sizes.
The number of cells the scientist will have after one day can be calculated as follows;
Number of cells = 315
As it is expected to triple, which means that it is expected to increase three times in amount.
Therefore;
3 × number of cells in the container
3 × 315 = 945
Hence, the number of cells the scientist will have after one day is calculated to be 945.
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Please help me solve for x.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{9 + x}{15}=\cfrac{15}{9}\implies \cfrac{9 + x}{15}=\cfrac{5}{3}\implies 27+3x=75 \\\\\\ 3x=48\implies x=\cfrac{48}{3}\implies \boxed{x=16}[/tex]
hola ayuda pls, con esta division
9624 dividido 8 pls ayuda XD
Answer:
Step-by-step explanation:
While working for a contracting company, you are preparing for a job tiling a floor. The customer says that the
rectangular laundry room is 15 feet by 8 feet, 8 inches. To place the order for the floor covering, you must calculate the
area.
What is the area of the laundry room, in square feet, to the nearest square foot?
65
130
132
9,360
18,720
Answer:
(2)
15x8.66666667=130.00000005
Step-by-step explanation:
to get the are in square feet you have to Length (in feet) x width (in feet) = area in sq. ft.
Victoria drew a diagram of her laptop that she uses at school. It is in the shape of a rectangle. The dimensions are as follows:
Length: 13x - 9 units
Width: 4.5x + 8 units
Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.. The inequality that represents the given situation is 13x - 9 > 4.5x + 8
What is Inequality?Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
From the question, we are to determine the inequality that represents the given situation
From the given information, we have that
The length of the laptop is given by 13x - 9 units
and The width of the laptop is given by 4.5x + 8 units
If the length is greater than the width, then we can write that
13x -9 > 4.5x + 8
Hence, the inequality that represents the given situation is 13x - 9 > 4.5x + 8
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skills check mathematics help needed please
Answer:
1. 600000+90000+ 6000
2. 6000+ 300
3. 6x+ 33x
4.
5.
6.
7. 75
8. 21
9. -5x
10. 3x
11. 10 km
12. 4.6
13.
14.
15. $3.5
16.$1.5
17. 4x-1=3x-5
+1 +1
4x= 3x-4
-3x -3x
x=-4
18. 3x-3=27-2x
+3 +3
3x= 30-2x
+2x +2z
5x= 30
/5 /5
x= 6
19. 0.5
20. 1