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3 years ago

ASAP PLZZZZZZZ ANSWER RIGHT

Mathematics

1 answer:

Darina [25.2K]3 years ago

8 0

Answer: ALZ is congruent to AIR by reason ASA

Step by Step Explanation: i hate rsm

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Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did t

Charra [1.4K]

Answer:

Step-by-step explanation:

A(5/100)=135

A=100(135)/5

A=$2700

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3 years ago

Read 2 more answers

The diameter of a small gear is 16cm. This is 2.5cm more than 1/4 of the diameter of a larger gear. What is the diameter of the

Ksju [112]

16=1/4 d+2.5
Where d is diameter of larger gear
16-2.5=1/4d
D=74 cm

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4 years ago

the total cost of a pair of shoes is $85.86. What was the cost of the shoes before the 8% sales tax was added?

charle [14.2K]

First you have to find out how much the sales tax is.

85.86(.08)=6.86

You have to subtract that number by 85.86

85.86-6.86=79

So the cost before tax on the shoes was 79$

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3 years ago

What equation is graphed in this figure?

bixtya [17]

The answer is C

Here is the process, hope it helps!
y+2=-3/2(x-2)
y+2=-3/2x+3
y=-3/2x+1

4 0

3 years ago

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

Artemon [7]

Answer:

a) The height decreases at a rate of $\frac{7}{12}$ ft/sec.

b) The area increases at a rate of $\frac{527}{24}$ ft^2/sec

c) The angle is increasing at a rate of $\frac{1}{12}$ rad/sec

Step-by-step explanation:

Attached you will find a sketch of the situation. The ladder forms a triangle of base b and height h with the house. The key to any type of problem is to identify the formula we want to differentiate, by having in mind the rules of differentiation.

a) Using pythagorean theorem, we have that $25^2 = h^2+b^2$ . From here, we have that

$h^2 = 25^2-b^2$

if we differentiate with respecto to t (t is time), by implicit differentiation we get

$2h \frac{dh}{dt} = -2b\frac{db}{dt}$

Then,

$\frac{dh}{dt} = -\frac{b}{h}\frac{db}{dt}$ .

We are told that the base is increasing at a rate of 2 ft/s (that is the value of db/dt). Using the pythagorean theorem, when b = 7, then h = 24. So,

$\frac{dh}{dt} = -\frac{2\cdot 7}{24}= \frac{-7}{12}$

b) The area of the triangle is given by

$A = \frac{1}{2}bh$

By differentiating with respect to t, using the product formula we get

$\frac{dA}{dt} = \frac{1}{2} (\frac{db}{dt}h+b\frac{dh}{dt})$

when b=7, we know that h=24 and dh/dt = -1/12. Then

$\frac{dA}{dt} = \frac{1}{2}(2\cdot 24- 7\frac{7}{12}) = \frac{527}{24}$

c) Based on the drawing, we have that

$\sin(\theta)= \frac{b}{25}$

If we differentiate with respect of t, and recalling that the derivative of sine is cosine, we get

$\cos(\theta)\frac{d\theta}{dt}=\frac{1}{25}\frac{db}{dt}$ or, by replacing the value of db/dt

$\frac{d\theta}{dt}=\frac{2}{25\cos(\theta)}$

when b = 7, we have that h = 24, then $\cos(\theta) = \frac{24}{25}$ , then

$\frac{d\theta}{dt} = \frac{2}{25\frac{24}{25}} = \frac{2}{24} = \frac{1}{12}$

7 0

3 years ago