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4 years ago

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Mathematics

1 answer:

dedylja [7]4 years ago

6 0

the length of the segment AD is 5 units

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Pleaaase helppp i will mark brainly

docker41 [41]

Answer:

Step-by-step explanation

since we have a right triangle then we can apply the Pythagorean theorem:

x² + 8² =10²

⇒ x² = 10² - 8²

⇒ x² = 36

⇒ x² = 6²

⇒ x = 6 (because x is positive)

6 0

3 years ago

Find the solution of the system of equations.<br> – 2 – 8y = -30<br> 2x + 8y = 36

nydimaria [60]

Answer:

x= 1.5

y= 4.125

Step-by-step explanation:

Step one:

given the two equations

$-2x - 8y = -30-------1\\\\2x + 8y = 36--------2$

Step two:

let us subtract the equations

$-2x - 8y = -30-------1\\\\ -(2x + 8y = 36)--------2\\\\0x-16y=-66$

$-16y=-66\\\\16y=66$

divide both sides by 16

$y=66/16\\\\y=4.125$

put y= 4.125 in equation 2

$2x + 8(4.125)= 36\\\\2x+33=36\\\\2x=36-33\\\\2x=3\\\\x= 3/2\\\\x= 1.5$

3 0

3 years ago

A 4-foot tall child walks directly away from a 12-foot tall lamppost at 2 mph. How quickly is the length of her shadow increasin

xz_007 [3.2K]

Answer:

The length of the shadow is increasing with the rate of 1.5 feet per sec

Step-by-step explanation:

Let AB and CD represents the height of the lamppost and child respectively ( shown below )

Also, let E be a point represents the position of child.

In triangles ABE and CDE,

$\angle ABE\cong \angle CDE$ ( right angles )

$\angle AEB\cong \angle CED$ ( common angles )

By AA similarity postulate,

$\triangle ABE\sim \triangle CDE$

∵ Corresponding sides of similar triangles are in same proportion,

$\implies \frac{AB}{CD}=\frac{BE}{DE}$

We have, AB = 12 ft, CD = 4 ft, BE = BD + DE = 6 + DE,

$\implies \frac{12}{4}=\frac{6+DE}{DE}$

$12DE = 24 + 4DE$

$8DE = 24$

$DE=3$

Now, the speed of walking = 2 mph = $\frac{2\times 5280}{3600}\approx 2.933\text{ ft per sec}$

Note: 1 mile = 5280 ft, 1 hour = 3600 sec

Thus, the time taken by child to reach at E

$= \frac{\text{Walked distance}}{\text{Walking speed}}$

$=\frac{6}{2.933}$

= 2.045 hours

Hence, the change rate in the length of shadow

$= \frac{\text{Length of shadow}}{\text{Time taken}}$

$=\frac{3}{2.045}$

= 1.5 ft per sec.

3 0

3 years ago

I need help ? I can’t figure it out can someone help me plz

dalvyx [7]

The answer is C).

If each cost .19 and ounce you would use x to indicate the unknown value therefore you will have .19x. the x is the amount of ounces which is 8. So .19 x 8 which equals 1.52.

8 0

3 years ago

What is the change in elevation between 8,500m and 3,400m?

Alenkasestr [34]

Answer:

Step-by-step explanation:

8500- 3400=5100

7 0

3 years ago