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3 years ago

Please Answer full question below thanks

Mathematics

1 answer:

sladkih [1.3K]3 years ago

5 0

Answer:

45*

Step-by-step explanation:

180-115=65

65=angle 2

180-110=70

70=angle 1

70+65=135

180-135=45

45=angle 7

angle 7 and 6 are vertical angles so angle 6=45

angle 6 and angle 5 are an example of alternate interior angles soo

angle 5=45*

Hope I helped!

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omeli [17]

1. 3/4
2. im not sure if it means after taking away 3/4, but if it is, its 10/4

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3 years ago

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Evaluate the expression. 5^2−4⋅6+11 Enter your answer in the box.

mart [117]

Explanation:

This question's it's about the order of operations. P-parenthesis, E-exponents, M-multiply, D-divide, A-add, and S-subtract. It can also go left to right.

Do exponents first.

$5^2=5*5=25$

$25-4*6+11$

Then, multiply left to right.

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$25-24+11$

And add/subtract left to right.

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$\boxed{=12}$

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6 0

3 years ago

A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

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In the figure attached, ΔAFE and ΔADE are similar.

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Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

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Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

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3 years ago

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Kazeer [188]

Answer:

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Troyanec [42]

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3 years ago