The shorter sides of a rectangle measure 4 inches each and one of its diagonals measures 8 inches. Which of the following is the measure of one of its longer sides? (1) 4√3 (3) 4√2 (2) 2 (4) 6

Answers

Answer 1

Answer:

The answer is 4√3

Answer 2

The measure of the longer side is equal to 4√3

What is the Pythagoras theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here breadth = 4 and diagonal = 8 and we know that rectangle has all four right angles

Thus, using the Pythagoras theorem we get

length = [tex]\sqrt{8^{2}-4^{2} }[/tex]

          = [tex]\sqrt{64-16}[/tex]

          = [tex]\sqrt{48}[/tex]

          =4 [tex]\sqrt{3}[/tex]

Hence the length of the longer side is  4√3

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Related Questions

77+7
plz help me with this problem dldldlddldldl

Answers

Answer:

84

Step-by-step explanation:

1. Set up Problem

2. Add form right to left

77+7 = 84 because 77+7 = 84

2x=16 what is the answer

Answers

Answer:

8

Step-by-step explanation:

2*8 = 16

Answer:

x=8

Step-by-step explanation:

Thats what I think it is

*picture from last questions!!*

Answers

1. Exponential Function
2. Quadratic Function
3. Piecewise Function
4. Absolute Value Function
5. Is choice 4

What is the measure of angle B in degrees?

Answers

Answer:119

Step-by-step explanation:

edge 2021

B = 119 degrees

A straight line is 180 degrees
The 112 degree angle and angle C make up a straight line, so 112+C = 180
c = 68 degrees

The sum of a triangle’s angles also equal 180 degrees, so angle A + angle B + angle C =180
This means 51 + 68 + A = 180
119+A=180
A = 61 degrees

Now knowing angle A, and knowing that a straight line is 180 degrees, you can solve for angle B

A+B =180
61+B=180
B=119 Degrees

Adult movie tickets cost $8 each. Children pay $5 for a ticket. For one movie, 90 total tickets were sold for a total of $525. Which system of equations can be used to find the number of each type of ticket, adult, a, and children, c, that were sold?
A. a + c = 90 8a + 5c = 525
B. a + c = 525 8a + 5c = 90
C. a + c = 90 5a + 8C = 525
D. a + c = 525 5a + 8C = 90​

Answers

Answer: A

Step-by-step explanation:

I had this question on my test yesterday lol

The system of equation will be ". a + c = 90 8a + 5c = 525"

Let the number of adults tickets be represented by a

Let the number of children tickets be represented by c.

Since 90 total tickets were sold, this can be represented by the equation:

a + c = 90

Since adult movie tickets cost $8 each while the children pay $5 for a ticket, and total cost spent is $525, this will be:

8a + 5c = 525

Therefore, the correct option is A.

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3. If the average of 16, 14, x, 23, 20 is 18, find the value of x.
LA
Maths

Answers

Answer:

x = 17

Step-by-step explanation:

Here, we want to find the value of x

mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

So we have;

(16 + 14 + x + 23 + 20)/5 = 18

73 + x = 5(18)

73 + x = 90

x = 90-73

x = 17

A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (1 , 1/2), (3, 2)
A) y + 1/2 = 3/4 ( x + 1 ) ; y = 3/4x + 1/4
B) y − 1/2 = 3 ( x − 1 ) ; y = 3x − 1/4
C) y − 1/2 = 3/4 ( x − 1 ) ; y = 3/4x − 1/4

Answers

Answer:  C

Step-by-step explanation:

Find Slope first

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{2-.5}{3-1}[/tex]

[tex]m=1.5/2\\m=3/4[/tex]

Slope is 3/4

Chose a point to put in point slope form

(1,1/2)

y − y1 = m(x − x1)

[tex]y-\frac{1}{2} =\frac{3}{4} (x-1)[/tex]

[tex]y-\frac{1}{2} = \frac{3}{4}x-\frac{3}{4}[/tex]

add 1/2 to both side

Simplify the expression.... Help Needed ASAP

Answers

Answer: 4x^7/5

Step-by-step explanation:

Reduce the numbers, then calculate the problem.

2 x 7/8
(7/8 is a fraction)
i think i know the answer but i have no confidence in myself, pls leave an explanation too and i will give brainliest :))

Answers

Answer:

okay mate

Step-by-step explanation:

2 *7/8

2 gets cancelled and it is 7/4

2 x 7/8= 7/4
2 Is the greatest common factor, therefore you’d cancel out the 8 by dividing it by 2. since 2/2=1 you can leave it and 8/2=4 therefore your answer is 7/4. hope this helped your confidence !

13. After Valentine's Day, boxes of chocolates go on sale and are marked down 10%. The
original price of a box of chocolates is $30. What is the sale price? (price after the discount)
A $3.00
C $27.00
B $5.00
D $33.00

Please help!! This test is super hard

Answers

Answer:

$27.00

Step-by-step explanation:

First, 10% of 30 = 3.

Second, 30 - 3 = 27

Hope this helps!

Find a ⋅ b.

a = 9i + 5j, b = 4i + 3j

Answers

-36 + 47ji + 15j^2


Best luck with your studying

help me please please!!!!!!!!

Answers

the correct answer is b

Help me in 5 minutes

Answers

Answer:

it should be A and C

Step-by-step explanation:

peer reviews are supposed to help improve and edit unchecked writings, not improve relationships or socialize

If x + y = 12 and x = 2y, then x=

Answers

The value of x is equal to 8.

Given the following equation;

[tex]x + y = 12[/tex]  .....equation 1

[tex]x = 2y[/tex]       .....equation 2

To find the value of x, we would solve the system of equations by using the substitution method to determine the value of y;

Substituting eqn 2 into eqn 1, we have;

[tex]2y + y = 12[/tex]

[tex]3y = 12\\\\y = \frac{12}{3}[/tex]

y = 4

Next, we would solve for the value of x;

From equation 2;

[tex]x = 2y\\\\x = 2(4)[/tex]

x = 8

Therefore, the value of x is equal to 8.

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Martin Company currently produces and sells 33,000 units of product at a selling price of $15. The product has variable costs of $5 per unit and fixed costs of $43,000. The company earns a total contribution martin of

Answers

Answer:

$330,000

Step-by-step explanation:

The selling price per unit is $15

The variable cost per unit is $5

Units sold is $33,000

The contribution margin can be calculated as follows

(15-5)×33000

= 10 × 33000

= 330,000

Hence the contribution margin is $330,000

identity the transformation that was applied to this letter.

Answers

Answer:

Rotation around the origin.

The image was rotated 90 degrees clockwise

Find the minimum or maximum value of the function g(x)=−4x^2+16x−15

Answers

i got (2,1)

but the maximum/minimum will always be the y

so the why in that case is 1

A rectangular prism has a length of 734 inches, a width of 312 inches, and a height of 6 inches. Mario has a storage container for the prism that has a volume of 165 cubic inches. What is the difference in volume between the prism and the storage container?

Answers

Answer: [tex]27.6\ in.^3[/tex]

Step-by-step explanation:

Given

Length of Prism is [tex]l= 7.34\ in.[/tex]

The width of Prism is [tex]w=3.12\ in.[/tex]

The height of Prism is [tex]h=6\ in.[/tex]

The volume of a The height rectangular prism is given as

[tex]V=l\times w\times h[/tex]

Substituting values we get

[tex]\Rightarrow V=7.34\times 3.12\times 6=137.404\ in.^3[/tex]

Volume of storage [tex]V_s=165\ in.^3[/tex]

The difference in volume is

[tex]\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3[/tex]

What's the slope of the line passing through the points 9, 7 and 9 , -1

Answers

Answer:

Undefined slope

Human:

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ 5/4

I WOULD APPRECIATE BRAINLIEST!

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Is y=10-2/x a liner or nonlinear equation?

Answers

Answer:

Non-Linear

Step-by-step explanation:

In linear equations, the variable 'x' shouldn't be in the denominator of a fraction. It will not form a straight line when graphed.

See picture below.

Hope this helps!

y=10-2/x is a non linear equation

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

The given equation is y=10-2/x

The x variable is in the denominator.

The given equation is not in the form of the linear equation y=mx+b.

and when we graph this equation we do not get a straight line.

Hence,  y=10-2/x is a non linear equation

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4. This is a
function
5. The equation is
6. The value for f(-4) is
THREE NUMBERS BEHIND THE DECIMAL PT

Answers

Answer:

Step-by-step explanation:

4). This is an exponential function.

5). Let the equation of this function is,

    f(x) = a(b)ˣ

    Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,

    For (-1, 4),

    4 = a(b)⁻¹

    4 = [tex]\frac{a}{b}[/tex] --------(1)

    For (0, 6),

    6 = a(b)⁰

    a = 6

    From equation (1),

    4 = [tex]\frac{6}{b}[/tex]

    b = [tex]\frac{6}{4}[/tex] = 1.5

    Therefore, equation of the function will be,

    f(x) = 6(1.5)ˣ

6). Now the value of f(-4) will be,

    f(-4) = 6(1.5)⁻⁴

           = 1.185

Akshay purchased goods costing ₹5,00,000 and sold at 20% profit on cost. Calculate the selling price of goods.​

Answers

Answer:

the selling price of the goods is ₹6,00,000

Step-by-step explanation:

The computation of the selling price of the goods are shown below:

As we know that

Selling price = Cost price + profit

= 5,00,000 + 5,00,000 × 0.20

= 5,00,000 + 1,00,000

= ₹6,00,000

Hence, the selling price of the goods is ₹6,00,000

Jeffrey buys a microscope priced at $333.74. Shipping and handing are an additional 10 of the price. How much shipping and handling will Jeffrey pay?​

Answers

Answer would be 42.28

Traingle A' B' C' is the image of triangle ABC under a dilation. What is the scale factor of the dilation? ​

Answers

We need an image to answer the question.

What is the exact circumference of the circle?

A 10π ft

B 20π ft

C 40π ft

D 60π ft

Answers

The exact circumstance of the circle is 20pi ft which means the answer is B

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

Diameter (d) = 20 ft

Radius (r) = ?

[tex]r = \frac{d}{2} \\ r = \frac{20}{2} \\ r = 10 \: \: ft[/tex]

____________________

Now, we've to find the exact circumference (c) ..

[tex]c = 2\pi \: r \\ c = 2\pi \times 10 \\ c = 20\pi ft[/tex]

The answer is [tex]\large\bold{20π \ ft (option \ C)}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Find the Circumference in the example below using the steps provided. Use 3.14 for Pi. Do not round. Be sure to label your answer.

Answers

where is the example

I can't answer the question without the example provided, but here are some steps to solve it.

Basic info-

Circumference (C)

3.14 is used for pi π= 3.14

The line halfway of the circle is the radius(r)

The line through the circle is the diameter(d)

Formulas:

C= 2πr

2 × 3.14 × the radius

OR

C= πd

3.14 × the diameter

The value of a company's equipment is $25,000 and decreases at a rate of 15% per year. What is the value after 9 years?

Answers

Answer:

6,812.26

Step-by-step explanation:

I found the answer key

What is a No solution? What is a infinite solution?

Answers

No is a solid answer and infinite solution well that just means anything

Answer:

No solution would mean that there is no answer to the equation. ... Infinite solutions would mean that any value for the variable would make the equation true?

The product of two numbers is 48. Their sum is 16. What is the greater of the two numbers? A 4 B. 8 C. 12 D. 24​

Answers

Answer:

C. 12

Step-by-step explanation:

4×12 = 48 and 4 + 12 = 16

12 is the bigger number of the two.

The answer is C to this problem

In AKLM, k = 13 cm, 1 = 17 cm and m=28 cm. Find the measure of ZK to the nearest
degree.

Answers

Answer:

18

Step-by-step explanation:

delta math

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