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Snezhnost [94]
4 years ago
6

^^^^^^^^^^^^^^^^^^****^^^

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:

<h2>C. x = 6</h2>

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
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