The information about the triangle will be:
Length of the shorter leg: = 5cm
Length of the longer leg: = 12cm
Length of the hypotenuse: = 13cm
How to illustrate the information?It should be noted that the formula for illustrating the information is:
c² = a² + b²
where c = hypothenuse
The shorter leg = x
Longer leg = x + 7
Hypothenuse = 13
Therefore, c² = a² + b²
13² = x² + (x + 7)²
169 = x² + x² + 14x + 49
169 = 2x² + 14x + 49
169 - 2x² - 14x - 49 = 0
-2x² - 14x + 120 = 0
Multiply through by minus
2x² + 14x - 120 = 0
Divide through by 2
x² - 7x - 60
x² - 12x + 5x - 60
x(x - 12) + 5(x - 12)
Therefore, the smaller length is 5cm and the bigger Length is 12cm
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Last week, Abdul drove 211 miles. This week, he drove d miles. Using d, write an expression for the total number of miles he drove in the two weeks.
The total numbers of miles drove by abdul in two weeks in terms of k is: k+211 miles
The total number of miles that Abdul drove in two weeks will be the sum of the miles that he drove in week 1 + week 2
If he drove 211 miles one week, plus "d" miles the second week,
Let's call the total number of miles driven in two weeks k.
The sum of both weeks will be the total number of miles Abdul drove in two weeks should be as follows.
Given
no of miles drove in last week is 211 miles.
no of miles drove in current week is d miles.
So the total number of miles drove by Abdul in two weeks are:
Total no of miles drove in two weeks is 211+d miles.
Hence,
The total numbers of miles drove by abdul in two weeks in terms of k is: k+211 miles
Then we can express the total as k = 211 + b.
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A piece of plywood 24 inches wide is cut into strips 2 ½ inches wide. How many strips of this width can be cut? Strips.
Answer:
9 Strips
Step-by-step explanation:
24 / 2.5 = 24 ÷ [tex]\frac{5}{2}[/tex] = [tex]\frac{24}{1}[/tex] x [tex]\frac{2}{5}[/tex] = [tex]\frac{48}{5}[/tex] = 9.6
This is rounded down to 9.
NO LINKS!!
Tell whether you can conclude that each is true based on the figure. Explain your reasoning.
Answer:
T, T, F, F, T, T, T
Step-by-step explanation:
You want to know if various descriptions of the given figure are true.
a. CA ≅ FATrue. They are marked congruent by the hash marks on the diagram.
b. C, A, F are collinearTrue. Line CF is shown as going through point A
c. ∠CAD≅∠EAFFalse. ∠EAF is congruent to ∠CAB (vertical angles), and ∠CAB is complementary to ∠CAD. There are no markings to indicate these complementary angles are congruent.
d. BA≅AEFalse. There are no markings to indicate these segments are congruent.
e. CF, BE, AD intersect at point ATrue. Point A is shown as being on all of these lines and segments.
f. ∠BAC and ∠CAD are complementaryTrue. Ray AC splits right angle BAD, so these angles have a sum of 90°.
g. ∠DAE is a right angleTrue. Whenever a segment (AD) meets a line (BE) at right angles, both angles formed are right angles.
What is the inverse of conditional w > ~v?
Answer: (v,∞)
Step-by-step explanation: Please mark as brainliest
I want to plant 45 sunflower plants and 63 tomato plants in my garden. If I put the same number of plants in each row, with only one type of plant in each row, what is the greatest number of plants I can put in one row?
Answer:
the most you can do is put 15 of particular plant in a row because if you take the 60 / 15 you get four and if you take 45 / 15 and you get three so then you could have three rows of sunflowers and four rows of tomatoes of 15 big brain
The circumference of a circle is 188.4 ft. What is the area?
*explain in words*
Answer:
A≈2824.57ft²
Step-by-step explanation:
Area=πr2
Circumference=2r
A=C²=188.42≈2824.56734ft²
4π 4·π
Which is not an equation of the line going through (6, 7) and (2,-1)?
A.y+1=2(x-2)
OB. y-7-2(x-6)
OC. y-1-2(x+2)
D. y=2x-5
The equation of the line that do not pass through (6, 7)(2, -1) is y - 1 = 2(x + 2)
How to express equation of a line?The equation of a line can be express in different form. example includes slope intercept form and point slope form.
Let's express the equation in slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore,
(6, 7)(2, - 1)
m = -1 - 7 / 2 - 6
m = -8 / - 4
m = 2
Therefore, using (6, 7)
y = 2x + b
7 = 2(6) + b
b = 7 - 12
b = - 5
Hence,
y = 2x - 5
Therefore, in point slope form using (6, 7) and (2, -1)
y - y₁ = m(x - x₁)
y - 7 = 2(x - 6)
using (2, -1)
y + 1 = 2(x - 2)
Therefore, the equation of the line that do not pass through (6, 7)(2, -1) is y - 1 = 2(x + 2)
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Solve for c.
P=a+5+c
Answer:
c = P - a - b
Step-by-step explanation:
We are basically trying to get "c" by itself. If we ask ourselves what is with the "c" that we need to get rid of in order to have "c" by itself, we have a positive "a" and a "plus 5". To get rid of the positive "a" we subtract "a" from both sides. That leaves
P - a = 5 + c
To get rid of the "plus 5" we subtract 5 from both sides. That leaves
P - a - 5 = c
solving compound inequality (x>-4)^(x>2)
Answer: There is no solution.
Simplify the expression (3-4i) (6i+7) - ( 2-3i). Show your work and explain your steps You may not need every line below and you can add more lines if you do need them.
The value of the complex number expression (3 - 4i) (6i +7) - (2 - 3i) is 43 - 7i
How to simplify the complex number expression?The complex number expression is given as
(3 - 4i) (6i +7) - (2 - 3i)
Expand the bracket in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = (18i + 21 -24(-1) - 28i) - (2 - 3i)
Evaluate the like terms in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = (45 -10i) - (2 - 3i)
Remove the bracket in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = 45 -10i - 2 + 3i
Evaluate the like terms in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = 43 - 7i
Hence, the value of the complex number expression (3 - 4i) (6i +7) - (2 - 3i) is 43 - 7i
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63÷16 is
1. 3
2. 4
3. 3 R 15
4. 3 R 5
Answer:
3
Step-by-step explanation:
63 ÷ 16= 3.9375 or 3 R 15
Not really much I can show a working off but this is the best I can do for now
The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.
9 ≤ x ≤ 18
18 ≤ x ≤ 33
36 ≤ x ≤ 42
45 ≤ x ≤ 60
The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33
How to write and solve a compound inequality to show the possible lengths of the third side?The given parameters are
Range = 45 to 60 inches
Sides = 9, 18 and x
The sum of the three sides is
Sum = 9 + 18 + x
Evaluate
Sum = 27 + x
Recall that
Range = 47 to 60 inches
So, we have
45 ≤ 27 + x ≤ 60
Subtract through by 27
So, we have
18 ≤ x ≤ 33
Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33
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Patty and Carol cach go for walks around a lake a few times per week. Last week, Patty walked7 miles more
"than Carol.
a. If e represents the number of miles Carol walked, write an equation that represents the total number of
miles T the two girls walked. (You may only use the variables c and T in your equation.)
b. If Carol walked 9 miles during the week, how many miles did Patty walk?
c. If Carol walked 11 miles during the week, how many miles did the two girls walk together?
Porfavor me urge :,3
(a) let number of miles Carol walked be e.
Patty walked 7 miles more than Carol.
Patty walked e + 7 miles.
Let total number of miles walked be T
that is how many miles Carol walked plus how many miles Patty walked
T = e + (e + 7)
(b) :Let number of miles patty walked be p.
p = e + 7
e = 9
P = 9 +7
P = 16
(c) T = e + (e + 7)
T = 11 + (11+7)
T = 11+18
T=29
What decimal represents 6 multiple 1+3 multiple 1/10 +4 multiple 1/100
The decimal that represents the expression is 6.34
How to determine the decimal?The statement is given as
6 multiple 1+3 multiple 1/10 +4 multiple 1/100
Rewrite properly as
6 x 1 + 3 x 1/10 + 4 x 1/100
Evaluate the products
6 + 3/10 + 4/100
Express as decimals
6 + 0.3 + 0.04
Evaluate the sum
6.34
Hence, the decimal that represents the expression is 6.34
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Can someone help me with my work that is due tomarrow
Solve the following equation. x/6 + 2 = 8Then place the correct number in the box provided.
Answer:
x = 36
Step-by-step explanation:
Solve the following equation. x/6 + 2 = 8Then place the correct number in the box provided.
x/6 + 2 = 8
x/6 = 6
x = 6 * 6
x = 36
-----------------
check
36/6 + 2 = 8
6 + 2 = 8
8 = 8
the answer is good
Answer:36
Step-by-step explanation:
subtract 2 from both sides to isolate x.You then get x/6=6.36/6=6
0.64 + 4/25 simplified
Answer: The answer is 1.44
Step-by-step explanation:
0.64 + 4/5...
1.) Convert your fraction to a decimal by dividing 5 into 4, this will give you 0.8.
2.) Add 0.64 and 0.8 together. (Make sure you line the decimals up)
It should look like this : 0.64
+0.80
____
3.) After you add them together, it equals out to 1.44
x-2=-3x + 14 find x please
Answer:
x = 4
Step-by-step explanation:
x -2 = -3x + 14 Add 3xs to both sides of the equation
4x - 2 = 14 Add 2 to both sides of the equation
4x = 16 Divide both sides by 4
x = 4
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{The given problem instructs us to simplify for the variable x.}[/tex]
[tex]\textsf{\textbf{The first step is to add 2 to both sides:}}[/tex]
[tex].\qquad\leadsto\sf{x=-3x+\textbf{16}}[/tex]
[tex]\textbf{The next step is to add 3x to both sides:}[/tex]
[tex].\qquad\leadsto\sf{4x=\textbf{16}}[/tex]
[tex]\textsf{\textbf{The final step is to divide both sides by 4:}}[/tex]
[tex].\qquad\leadsto\sf{x=4}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]
The equation 23+0.15p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs $41 to deliver.
The weight of the appliance is 120 pounds.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
23+0.15p=c
where the cost c in dollars that a store charges to deliver an appliance that weighs p pounds.
Now for c= 41
23 + 0.15p= 41
0.15p= 41-23
0.15p= 18
p= 18/0.15
p=120 pounds
Hence, the weight of an appliance is 120 pounds
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what is the first of four consecutive numbers if their sum is 2006
762/3=254... therefore, 762-254=508
So your fourth integer is 508
The given steps for constructing a line tangent to circle O that passes through point P outside the circle are listed out of order.
Arrange the steps in the correct sequence.
A. From M, set the compass width to MO.
B. Draw a line from the center, O, to a given point P.
C. Draw the tangent line from P to N.
D. Make an arc that intersects the circle to create point N.
E. Construct the perpendicular bisector of segment OP to find the midpoint, M.
Solution : ADEBC
Arc: The length of any arc is s = r θ , where is the length of the arc, is the radius, and is the measure of the angle in radians. Use the fact that is equal to to convert between degrees and radians. A subtended arc is the part of the circle in between the two rays that make the central angle.
Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length. It should be noted that the arc length is longer than the straight line distance between its endpoints.
the perpendicular bisector of the segment :
A perpendicular bisector can be defined as a line segment that bisects another line segment at 90 degrees. In other words, a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.
A. From M, set the compass width to MO.
D. Make an arc that intersects the circle to create point N.
E. Construct the perpendicular bisector of segment OP to find the midpoint, M.
B. Draw a line from the center, O, to a given point P.
C. Draw the tangent line from P to N
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X/2<5c
Solve inequalities
The solution to the given inequality is x < 10c
Solving inequalityInequality are expression that are not separated by an equal sign. Given the inequality expression
x/2<5c
We are to determine the value of x from the inequality as shown;
Given
X/2<5c
Multiply both sides buy 2 to have:
X/2(2)<5c(2)
x < 5(2c)
x < 10c
Hence the solution to the given inequality is x < 10c
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15 greater than y is at least 150
ill give brainly and 10 points
Answer:
the last one
Step-by-step explanation:
There are 25000 fans in a stadium watching
a game. A hotdog vendor sells $5006.5 worth
of hotdogs at $1.70 each.
What was the ratio of the hot dogs sold to
the number of fans?
Answer in units of hotdogs/fan.
Answer:5000 : 589
Step-by-step explanation: If A Hotdog Vendor Sells $5006.5 You would need do divide it by how much the hot dogs cost (1.70) 5006.5 divided by 1.70= 2945. So There are 2945 hot dogs and 25000 fans, which simplified would be 5000 fans : 589 hotdogs
a cube has side length of 8 inches. select all the values that represent the cubes volume in cubic inches. (6.ee.a.1)
Answer:
8 . 8 . 8
Step-by-step explanation:
Right answer
7 less than the product of 2 and a number.
Answer: 2x-7
Step-by-step explanation:hope it helps, brainliest? i could really use it
[GIVING BRAINLY] How is the answer D? If it's not D, can someone show an explanation
Answer:
D is the correct answer
Step-by-step explanation:
457 billion is
457,000,000,000
The decimal is at the end of the number. I want to put the decimal so that the number is one or larger, but less than 10
2.47 x [tex]10^{11}[/tex] If you count how many places I need to move the decimal from between the 2 and the 4 to where is should go in standard form. We need to move the decimal 11 places to the right. That is why the exponent is 11.
HELP ME OUT PLEASE!!!!
What measurement is represented on the x-axis and what unit is it measured in?
The measurement that is represented on the x-axis is Time and the unit it is measured in is hours
MeasurementsFrom the question, we are to determine the measurement that is represented on the x-axis
On a cartesian plane, the x -axis is the horizontal line and the y-axis is the vertical line
In the given diagram,
The measurement that is shown on the x-axis (horizontal axis) is Time. It is measured in hours
and
The measurement that is shown on the y-axis (vertical axis) is Distance. the distance is measured in miles
Hence, the measurement that is represented on the x-axis is Time and the unit it is measured in is hours
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Using the quadratic formula, solve 0 = 2x² - 10x + 7
Give each of your answers to 2 d.p.
Answer:
[tex] \sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
0=2x²−10x+7
Step 1: Subtract 2x^2-10x+7 from both sides.
0−(2x²−10x+7)=2x²−10x+7−(2x²−10x+7)
−2x²+10x−7=0
For this equation: a=-2, b=10, c=-7
−2x²+10x+−7=0
Step 2: Use quadratic formula with a=-2, b=10, c=-7.
[tex] \sf \: x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
[tex] \sf \: x = \frac{ - (10)± \sqrt{ {10}^{2} - 4( - 2)( - 7) } }{2( - 2)} [/tex]
[tex] \sf \: x = \frac{ - 10 ± \sqrt{44} }{ - 4} [/tex]
[tex] \sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11} [/tex]