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3 years ago

I️ REALLY NEED HELP OHMYGOSH I’D KISS YOU IF YOU COULD ANSWER THIS!! Find the measure of the marked angles.

Mathematics

1 answer:

-BARSIC- [3]3 years ago

3 0

4x+36=7x+6

Step 1: Subtract 7x from both sides.

4x+36−7x=7x+6−7x

−3x+36=6

Step 2: Subtract 36 from both sides.

−3x+36−36=6−36

−3x=−30

Step 3: Divide both sides by -3.

−3x/−3=−30/−3

x=10

Plug in

4x+36

4(10)+36

40+36

7x+6

7(10)+6

X= 10 Angles = 76°

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Monica [59]

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2 years ago

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A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

2 years ago

Brad is installing a hot tub in his 30 ft by 20 ft back yard. The hot tub has a radius of 5 feet. If he randomly shoots

ddd [48]

Answer:

13% chance

Step-by-step explanation:

Area of backyard = length * width

A = 30 ft * 20 ft

A = 600 $ft^{2}$

Area of bathtub = π $r^{2}$

A = π * $5^{2}$

A = 78.54 $ft^{2}$

Probability of arrow landing in tub can be found by dividing Area of the bathtub by the area of the backyard, and then multiplying by 100 for a percentage

Prob. = 78.54/600

Prob. = 0.13

Prob. = 0.13 * 100

Prob. = 13%

7 0

3 years ago

Alice needs 3/7 kilograms of flour for making a cake. How many of flour does she needs for making 42 cakes?

Oduvanchick [21]

Hey there!

3/7 is needed for 1 cake

If she needs to make 42 cakes, then multiply the amount for 1 by 42

42 × 3/7 = 126/7 = 18

She needs 18 kilograms of flour to make 42 cakes

Hope this helps :)

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2 years ago

$15,000 is invested at a rate of 8% compounded quarterly. Identify the compound interest function to model the situation. Then f

Rina8888 [55]

Answer:

A = 15000(1.02)^4t ; $33,120.59

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1 year ago