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3 years ago

Help me out please please an thank you

Mathematics

2 answers:

guapka [62]3 years ago

8 0

Answer:

58⁰

Step-by-step explanation:

So its given that angle BAD and angle DAC are equal

BAD+DAC=CAB

29+29= 58⁰

Katena32 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

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A woman is emptying her aquarium at a steady rate with a small pump. The water pumped to a 12-in.-diameter cylindrical bucket, a

Temka [501]

Answer:

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

Step-by-step explanation:

Given that,

The diameter of cylindrical bucket = 12 in.

Depth is increasing at the rate of = 4.0 in per minutes.

i.e $\frac{dh_1}{dt}=4$

$h_1$ is depth of the bucket.

The volume of the bucket is V = $\pi r^2 h$

$=\pi \times 6^2\itimes h_1$

$\therefore V=36\pi h_1$

Differentiating with respect yo t,

$\frac{dV}{dt}=36\pi \frac{dh_1}{dt}$

Putting $\frac{dh_1}{dt}=4$

$\therefore\frac{dV}{dt}=36\pi\times 4$

The rate of volume change of the bucket = The rate of volume change of the aquarium .

Given that,The aquarium measures 24 in × 36 in × 18 in.

When the water pumped out from the aquarium, the depth of the aquarium only changed.

Consider h be height of the aquarium.

The volume of the aquarium is V= ( 24× 36 ×h)

V= 24× 36 ×h

Differentiating with respect to t

$\frac{dV}{dt}=24\times 36 \times \frac{dh}{dt}$

Putting $\frac{dV}{dt}=36\pi\times 4$

$36\pi\times 4= 24\times 36\times \frac{dh}{dt}$

$\Rightarrow \frac{dh}{dt}=\frac{36\pi \times 4}{24\times 36}$

$\Rightarrow \frac{dh}{dt}=\frac{11}{21}$

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

7 0

3 years ago

What is the percent of change for the growth factor of 1.5?

satela [25.4K]

The growth factor is 10.5

6 0

3 years ago

Which represents the part of the 10-by-10 grid that is shaded

OleMash [197]

Answer:

100

Step-by-step explanation:

7 0

4 years ago

Pams basketball league has 36 nine-year-olds and 48 ten-year-olds. Write the ratio of nine-year-olds and ten-year-olds in all th

yarga [219]

Nine year olds --> 36
ten year olds ----> 48

then simpifly this as if you would to a fraction

6/8 so the ratio would be 6:8

5 0

3 years ago

1. Find the exact value by using a half-angle identity. (1 point)

amm1812

1. Find the exact value by using a half-angle identity.
sin 22.5°

Using the half angle formula you get:
sin2(θ)=12[1−cos(2θ)]
if θ=22.5° then 2θ=45°
so you get:
sin2(22.5°)=12[1−cos(45°)]
sin2(22.5°)=12[1−√2/2]=2−√24
and square root both sides:
sin(22.5°)=±√2−√24=±0.382
so

sin(22.5°)=0.382the answer is the letter D) one half times the square root of quantity two minus square root of two

2. Verify the identity.

cot x minus pi divided by two. = -tan x

Cot(x-pi/2)=-tan(x)

sin(A − B) = sin A cos B − cos A sin B

sin(x – pi/2) = sin x cos (pi/2) − cos x sin (pi/2)=-cosx

cos(A − B) = cos A cos B − sin A sin B

cos(x− pi/2) = cos x cos pi/2 − sin x sin pi/2=-sinx

Cot(x-pi/2)=cos(x-pi/2)/sin(x-pi/2)

= (-sinx)/(-cosx)=-tanx--------------ok

4 0

3 years ago