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3 years ago

Two shapes with equal perimeter are pictured below.

Mathematics

1 answer:

Radda [10]3 years ago

6 0

Answer:

Measure of CD = 17 units

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Perimeter of the given rectangle = 2(length + width)

= 2[(x + 3) + (2x - 1)]

= 2(3x + 2) units

Perimeter of triangle EFG = EF + FG + GE

= (x - 7) + (4x - 8) + (3x + 1)

= (8x - 14)

= 2(4x - 7) units

Since, perimeters of both the figures are equal,

2(3x + 2) = 2(4x - 7)

3x + 2 = 4x - 7

4x - 3x = 7 + 2

x = 9

Measure of CD = (2x - 1)

= 2(9) - 1

= 17 units

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nalin [4]

Answer:

$m=4\frac{1}{3}$

Step-by-step explanation:

the equation to this is

$y=4\frac{1}{3}x$

and slop-intercept form is

$y=mx+b$

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$m=4\frac{1}{3}$

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3 years ago

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How do I Round 53879 to the nearest hundred.

Elenna [48]

So,

53,879 rounded to the nearest hundred:

If the number in the tens place is greater than or equal to 5, then round up. If not, round down.

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3 years ago

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Let u = (1, k) and v = (2, 1). Find k such that The distance between u and v is 1 u and v are orthogonal The angle between u and

SVETLANKA909090 [29]

Answer:k=1,k=-2,k= $8\pm 5\sqrt{3}$

Step-by-step explanation:

Given two vectors

$u=1\hat{i}+k\hat{j}$

$v=2\hat{i}+1\hat{j}$

$\left ( i\right )$ Distance between them is given by

$|u-v|=\sqrt{\left ( 2-1\right )^2+\left ( 1-k\right )^2}=1$

squaring both side

$1^{2}+\left ( 1-k\right )^2=1$

$k^2-2k+1=0$

$\left ( k-1\right )^2=0$

k=1

$\left ( ii\right )$

angle between u and v is 90 i.e. orthogonal

$u\dot v=0$

$\left ( 1\hat{i}+k\hat{j}\right )\dot \left ( 2\hat{i}+1\hat{j}\right )$ =0

2+k=0

k=-2

$\left ( iii\right )$

angle between u & v is $\frac{\pi }{3}$

$u\dot v=|u||v|cos\left (\frac{\pi }{3}\right )$

$|u|=\sqrt{1^2+k^2}$

$|v|=\sqrt{2^2+1^2}$

$2+k=\left ( \sqrt{1+k^2}\right )\left ( \sqrt{5}\right )cos\left ( \frac{\pi }{3}\right )$

$\left ( 4+2\right )^2=\left ( 1+k^2\right )5$

$k^2-16k-11$ =0

k= $8\pm 5\sqrt{3}$

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3 years ago

Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What

trapecia [35]

Answer: The greatest number of cups of yogurt MOnica can buy is 14.

Step-by-step explanation:

If she need to buy a gallon of milk then it means that $2.50 will be deducted from the money .

Use the the inequality to solve for how many cups of yogurt Monica can buy

1.20x + 2.50 ≤ 20

-2.50 2.50

1.20x ≤ 17.5

x≤14.5833...

which means the greatest number of cups of yogurt Monica can buy is 14.

8 0

3 years ago

HELP PLEASE I WILL MARK YOU AS A BRAINLIEST!!!

AnnyKZ [126]

Answer:

I believe it is 6

Step-by-step explanation:

If you think about it the opposite of 6 is -6

and the only one that is -6 is c

because it is in absolute value {6}

will be 6 but there is a negative sign which then you just bring that down and you would get -6

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3 years ago