Answers
Answer:
x = 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Since the 2 legs are congruent, both 6 then the triangle is isosceles.
The line from the vertex to the base is a perpendicular bisector, dividing the base into 2 parts of 4 units.
Using Pythagoras' identity in one of the right triangles.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 4² = 6²
x² + 16 = 36 ( subtract 16 from both sides )
x² = 20 ( take the square root of both sides )
x = [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = 2[tex]\sqrt{5}[/tex]
Related Questions
Rodney collects 17 leaves and Sheila collects 23 leaves. How many leaves more leaves does Sheila collect then Rodney?
Answers
Answer: 6 leaves
Step-by-step explanation:
23 - 17 = 6
Hope that helped! :p
The number of leaves more leaves does Sheila collect then Rodney is 6.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Given that, Rodney collects 17 leaves and Sheila collects 23 leaves.
Now, 23-17
= 6
Therefore, the number of leaves more leaves does Sheila collect then Rodney is 6.
Learn more about the subtraction here:
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2a) Solve using substitution.
y = 2
2x + 2y = 10
Explain how you got the answer please step by step
Answers
2x+ 2y= 10
Now, put in the substitution.
2x+ 2• 2= 10
Combine like terms.
2x+ 4= 10
Now that your equation it simplified, you need to reverse the problem and put everything on the other side.
2x+ 4= 10
- 4 - 4
2x = 6
2x=6
— —
2 2
X= 3
So the final answer is x=3
Consider the equation 2x+1=16
a. Does the equation have a solution in the set of integers? ____
b. Does the equation have a solution in the set of rational numbers? ____
Answers
Step-by-step explanation:
2x + 1 = 16
2x = 15 (subtract 1 on both sides)
x = 7.5 (divide 2 om both sides)
Since 7.5 is not an integer, (a) is No.
However 7.5 is rational, therefore (b) is Yes.
Answer:
[tex]2x + 1 = 16 \\ 2x = 15 \\ x =\frac{15}{2} \\ \boxed{x = 7.5 }[/tex]
a. Does the equation have a solution in the set of integers? ____
→As 7.5 is not a integer, the right answer is No.
b. Does the equation have a solution in the set of rational numbers? ____
→7.5 is a rational number, the right answer is Yes.
rewrite sin^2 2xcos ^2 2x as an expression in terms of the first power of cosine
Answers
Answer:
Step-by-step explanation:
use the formula { a couple of times} cos 2 Θ = 2 cos ² Θ - 1 = 1 - 2 sin ² Θ....your answer will likely have a cos 2x , a cos 4x , and a cos 6x in it.....note : cos ² Θ - sin ²Φ = cos ( Θ + Φ) cos (Θ - Φ) will also be needed for appropriate choices of Θ & Φ in terms of x
2.8.75
Given functions f and g, find (a) (fog)(x) and its domain, and (b) (gof)(x) and its domain.
f(x) = Vx, g(x) = x +7
(a) (fog)(x) = 0
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answers
Answer:
647637=
Step-by-step explanation:
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?
1/9
1/3
2/21
2/3
Answers
The probability of picking a chocolate chip cookie is 1/3.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.
N represents no. of.
So, N(S) = 5 + 4 + 6 = 15.
N(CC) = 5, N(SR) = 4 and N(OR) = 6.
∴ The probability of picking a chocolate chip cookie is = N(CC)/N(S).
= 5/15.
= 1/3.
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The scale drawing of a rectangular room has a length of 18 inches and a width of 12 inches. If the scale for the drawing is 1 inch = 2 1/2 feet, what is the perimeter of the actual room?
Answers
Answer
do you need the work or is the answer ok?
Step-by-step explanation:
i have to do the work for it
A system of equations is shown below. 3x + 2y = 12 y = x + 1 Which ordered pair below represents the solution to this system of equations?
(1.25, 2.25)
(2, 3)
(2.2, 3.2)
(3, 2)
Answers
Answer:
2,3
Step-by-step explanation:
A rectangular magazine cover is photocopied by using a scale factor of One-third. The length of the photocopy of the magazine cover is enlarged by a factor of 3. enlarged by a factor of One-third. reduced by a factor of 3. reduced by a factor of One-third.
Answers
Answer: "reduced by a factor of One-third."
Step-by-step explanation:
Suppose that the original magazine has a length L and a width W.
If it is photocopied using a scale factor of K, then the measures of the photocopy will be:
length = K*L
Width = K*W
In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:
length = (1/3)*L = L/3
Width = (1/3)*W = W/3
For usual notation:
When k > 1, we have an enlargement by a factor k
when 0 < k < 1, we have a reduction by a factor k
in this case, k = 1/3, then:
We have a reduction by a factor of 1/3
The correct option is:
"reduced by a factor of One-third."
Answer: D-reduced by a factor 1/3
Step-by-step explanation:
got it correct on edge 2021
stephanie and jenny each improved their yards by planting rose bushes and geraniums. they bought their supplies from the same store. stephanie spent $148 on 13 rose bushes and 1 geranium. jenny spent $169 on 9 rose bushes and 14 geraniums. find the cost of one rose bush and one geranium.
Answers
Answer:
The cost of one rose is $11., and the cost of one geranium is $5.
Step-by-step explanation:
The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.
So that,
13x + y = 148 .............. 1
9x + 14 y = 169 ............... 2
From eqaution 1,
y = 148 - 13x ............... 3
substitute the value of y in equation 2
9x + 14(148 - 13x) = 169
9x + 2072 - 182x = 169
2072 - 169 = 182x - 9x
1903 = 173x
x = [tex]\frac{1903}{173}[/tex]
= 11
x = 11
substitute the value of x in equation 3
y = 148 - 13x
= 148 - 13(11)
= 148 - 143
y = 5
x = 11, y = 5
Thus, the cost of one rose is $11., and the cost of one geranium is $5.
Someone please help I don’t understand sad face
Answers
Order the numbers from least to greatest
Answers
Greg has bought 24 pounds if dog food. He feeds his dog ¾ pounds for each meal. For how many meals will the food last? Write your answer in simplest form.
Answers
Answer:
24 divuded by .75 = 32 Meals
Step-by-step explanation:
3/4 of 1 pound is = to .75 pounds per meal
therefore we divide the 24 meals by the amount neaded for each meal.
Equasion becomes 24 ÷ .75 = 32
Hope this helps, if so please mark brainlist
Need Help with #9 :(
Answers
Answer:
umm
Step-by-step explanation:
You want to buy a large toilet paper company, but you need to take out a loan to cover the cost. If you borrow $12,000 at a 3.5% interest rate, how much interest will you owe in 5 years?
Answers
Answer: You will owe $1,098.06 in intrest.
what is the prime factorization of 100
Answers
Answer:22 × 52
Step-by-step explanation:
Answer:
2 x 2 x 5 x 5
Step-by-step explanation:
since 2, 3, and 5 are prime numbers I always begin by seeing if the number to be factored has those as factors
100 is divisible by 2 so you can start there:
2 x 50
50 is divisible by 2 so you now have:
2 x 2 x 25
25 is divisible by 5 so you now have all prime factors whose product is 100
2 x 2 x 5 x 5
9x-7=-7
what is x in the equation?
Answers
4x and 4y are like terms.
O A. True
O B. False
Answers
false
because they have different variables, they are different terms. if they were both 4y and 4y or 4x and 4x then they would be like terms. but here, they are not.
i hope this helps!
Answer: B.False
Step-by-step explanation:This is because 4 x and 4 y have different terms.4 x has the term x while 4y has the term y.
Hope it helps . :)
Find x please this is so difficult
Answers
Answer:
x= 19
Step-by-step explanation:
∠ WYZ and ∠ XWY are alternate angles and are congruent, so
∠ XWY = 2x
The sum of the 3 angles in a triangle = 180°
sum the angles in Δ XWY and equate to 180
2x + 3x - 5 + 90 = 180
5x + 85 = 180 ( subtract 85 from both sides )
5x = 95 ( divide both sides by 5 )
x = 19
Can you help me solve for x
Answers
Find the sum of the first 8 terms of the series 3 + 6 + 9 + …, given that a8 = 24.
Answers
Step-by-step explanation:
You want to use the sum of an arithmetic sequence formula.
(a1 + an) × n/2
a1 is the first term and an is the last term. n is the number of terms.
In this case: (3+24) × 8/2 = 27×8/2 = 27×4 = 108
The sum of the first 8 terms of the series 3 + 6 + 9 + ... is 108.
To find the sum of the first 8 terms of the series, we need to find the common difference (d) and then use the formula for the sum of an arithmetic series.
Given that [tex]\(a_8 = 24\)[/tex], we can see that the 8th term is 24.
The formula for the nth term of an arithmetic series is [tex]\(a_n = a_1 + (n-1) \cdot d\)[/tex], where [tex]\(a_n\)[/tex] is the nth term, [tex]\(a_1\)[/tex] is the first term, and d is the common difference.
Substitute n=8 and [tex]\(a_n=24\)[/tex] into the formula:
[tex]\(24 = 3 + (8-1) \cdot d\)[/tex]
Simplify the equation:
[tex]\(24 = 3 + 7 \cdot d\)[/tex]
Now, solve for d:
[tex]\(7d = 24 - 3\)\\\\\(7d = 21\)\\\\\(d = \frac{21}{7} = 3\)[/tex]
Now that we have the common difference d = 3, we can use the formula for the sum of an arithmetic series:
[tex]\(S_n = \frac{n}{2} \cdot (a_1 + a_n)\)[/tex]
Substitute [tex]\(n=8\)[/tex], [tex]\(a_1=3\)[/tex], and [tex]\(a_n=24\)[/tex] into the formula:
[tex]\(S_8 = \frac{8}{2} \cdot (3 + 24)\)\\\\\(S_8 = 4 \cdot 27\)\\\\\(S_8 = 108\)[/tex]
So, the sum of the first 8 terms of the series is 108.
To know more about series, refer here:
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what is the y intercept of x+ 7y = 35
Answers
Answer:
5
Step-by-step explanation:
get the equation into slope intercept form, y = mx +b
where b is the y-intercept
subtract x from both sides
7y = -x + 35
divide 7 from both sides
y = -1/7 x + 5
thus b = 5
5
Explanation:
A linear equation is typically organized in the form y=mx+b. In this equation, b represents the y-intercept. Our goal is to rearrange the given equation into this form to identify b.
x+7y=35
Subtract both sides by x
x+7y-x=-x+35
7y=-x+35
Divide both sides by 7
7y/7=-1/7x+35/7
y=-1/7x+5
Now, we can tell clearly that the y-intercept of the equation is 5.
I hope this helps!
Find the inequality represented by the graph.
Answers
Answer:
[tex]y<-\frac{4}{3}x+5[/tex]
Step-by-step explanation:
Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).
Since, the shaded area is below the dotted line, inequality will have the sign less than (<).
Therefore, equation of the inequality will be in the form of,
y < mx + b
Here, m = slope of the line
b = y-intercept
Slope of the line passing through two points (0, 5) and (3, 1),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-1}{0-3}[/tex]
= [tex]-\frac{4}{3}[/tex]
Y-intercept (at x = 0),
b = 5
Therefore, equation of the inequality will be,
[tex]y<-\frac{4}{3}x+5[/tex]
2.) Nita had $318 in her checking account on Monday. On Tuesday, she withdrew $60. On Wednesday, she deposited $289 and wrote a check for $50. What was her balance after writing the check
Answers
Answer:597
Step-by-step explanation: because your adding and subtracting
Can you help me with this I will Mark you brainliest!
Answers
Answer:
10 because it goes by 2 so 5 x2 is 10 so 3 x2 is 6 so its x 2
asappp please someone help i’ll give brainliest. i’m trying to find x, and by what form like ASA, etc
Answers
Answer:
x = 40.375Step-by-step explanation:
∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore
ΔABC ~ ΔEFC by AA similarityRatio of corresponding sides is same. Get the equation below and solve for x:
EC/AC = CF/CBx/17 = (16+22)/16x/17 = 38/16x/17 = 19/8x = 17*19/8x = 40.375Frank and his family went on vacation one summer, and drove 3,000 miles in 10 days. If they drove an equal distance every day, how many miles a day did frank and his family drive.
Answers
Answer:
Distance cover by Frank and family each day = 300 miles per day
Step-by-step explanation:
Given:
Total distance cover by Frank and family = 3,000 miles
Number of days = 10
Find:
Distance cover by Frank and family each day
Computation:
Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days
Distance cover by Frank and family each day = 3,000 / 10
Distance cover by Frank and family each day = 300 miles per day
Answer:
C. 300
Step-by-step explanation:
Divide the distance by the time it took to travel that distance: 3,000 miles ÷ 10 days = 300 miles per day.
a) Lorsqu'on ajoute 12 au triple d'un nombre, on obtient 63.
Answers
Answer:
17
Step-by-step explanation:
17x3=51, 51+12=63
Help please!
Sorry for the image quality.
Answers
Answer:
[tex]\displaystyle (-1,\frac{-3}{2})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (1, -4)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex]\displaystyle (\frac{-3+1}{2},\frac{1-4}{2})[/tex][Fractions] Add/Subtract: [tex]\displaystyle (\frac{-2}{2},\frac{-3}{2})[/tex][Fractions] Divide: [tex]\displaystyle (-1,\frac{-3}{2})[/tex]jack and josh shared some sweets in the ratio 4:7 josh got 18 more sweets than jack. how many sweets were there in total
Answers
Answer:24
Step-by-step explanation: