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3 years ago

ANSWER WITHOUT A LINK PLSI WILL REPORT U

Mathematics

1 answer:

nydimaria [60]3 years ago

8 0

Answer:

∠ B = 53°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for B

∠ B = 180° - (90 + 37)° = 180° - 127° = 53°

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Find the surface area of the figure

belka [17]

Answer:

122.30 cm²

Step-by-step explanation:

The figure is a triangular prism.

Formula for calculating surface area of a triangular prism = bh + L(S1 + S2 + S3)

Where,

b = 11 cm

h = 4.3 cm

S1 = 8 cm

S2 = 6 cm

S3 = 11 cm

L = 3 cm

Surface area = 11*4.3 + 3(8 + 6 + 11)

= 47.3 + 3(25)

= 122.3 cm²

6 0

3 years ago

Tyler filled up his bathtub, took a bath, and then drained the tub. The function

TiliK225 [7]

Answer:

B(0) = 0 depth in inches 0 minutes after filling began is 0 ; that is at time = 0 ; depth = 0

B(1) represents the function one minutes after filling began.

B(9) = 11 depicts that the depth in inches if water 9 minutes after filling began is 11.

Step-by-step explanation:

The function gives depth of water in inches 7 minutes after filling began

A.) B(0)=0

The statement B(0) = 0 means the depth in inches 0 minutes after filling began is 0 ; that is at time = 0 ; depth = 0

B.) B(1)

B(1) represents the function one minutes after filling began.

C.B(9)=11

B(9) = 11 depicts that the depth in inches if water 9 minutes after filling began is 11.

4 0

2 years ago

If the demand function for a commodity is given by the equation

Margarita [4]

Answer:

Equilibrium quantity = 26.92

Equilibrium price is $31.13

Step-by-step explanation:

Given :Demand function : $p^2 + 16q = 1400$

Supply function : $700 -p^2 + 10q = 0$

To Find : find the equilibrium quantity and equilibrium price.

Solution:

Demand function : $p^2 + 16q = 1400$ --A

Supply function : $p^2-10q=700$ ---B

Now to find the equilibrium quantity and equilibrium price.

Solve A and B

Subtract B from A

$p^2-10q -p^2-16q=700-1400$

$-26q=-700$

$26q=700$

$q=\frac{700}{26}$

$q=26.92$

So, equilibrium quantity = 26.92

Substitute the value of q in A

$p^2 + 16(26.92) = 1400$

$p^2 + 430.72 = 1400$

$p^2 = 1400- 430.72$

$p^2 = 969.28$

$p = \sqrt{969.28}$

$p = 31.13$

So, equilibrium price is $31.13

7 0

3 years ago

A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)ekt, where m(0) is the initial mass and k is a ne

velikii [3]

Answer:

M = 1/0.000121 = 8264.5 years

Step-by-step explanation:

M = − k ∫∞₀ teᵏᵗdt

To obtain this mean life, we'll use integration by parts to integrate the function ∫ teᵏᵗdt

∫udv = uv - ∫ vdu

u = t

du/dt = 1

du = dt

∫ dv = ∫ eᵏᵗdt

v = eᵏᵗ/k

∫udv = ∫ teᵏᵗdt

uv = teᵏᵗ/k

∫ vdu = eᵏᵗ/k

∫ teᵏᵗdt = (teᵏᵗ/k) - ∫eᵏᵗ/k

But, ∫eᵏᵗ/k = (1/k) ∫eᵏᵗ = (1/k²) eᵏᵗ = eᵏᵗ/k²

∫ teᵏᵗdt = (teᵏᵗ/k) - eᵏᵗ/k²

The rest of the calculation is done on paper in the image attached to this question

3 0

3 years ago

If x = 10, y = 5, and z = 11, what is the sine ratio for g°?

salantis [7]

Answer:

$\frac{10}{11}$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

$sin(g^o)=\frac{AC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(g^o)=\frac{x}{z}$

$sin(g^o)=\frac{10}{11}$

8 0

2 years ago

ANSWER WITHOUT A LINK PLSI WILL REPORT U​

ANSWER WITHOUT A LINK PLSI WILL REPORT U