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3 years ago

Don't know how to solve this problem, help would be appreciated

Mathematics

1 answer:

kenny6666 [7]3 years ago

6 0

Answer:

219

Step-by-step explanation:

The figure has the shape of a trapezoid. We find the area of the trapezoid and subtract the area of the rectangular door.

area of trapezoid = (base1 + base2)h/2

area of trapezoid = (20 ft + 12 ft) * 15 ft / 2

area of trapezoid = 32 ft * 15 ft /2

area of trapezoid = 240 ft^2

area of rectangle = length * width

area of rectangle = 7 ft * 3 ft

area of rectangle = 21 ft^2

area to be painted = area of trapezoid - area of rectangle

area to be painted = 240 ft^2 - 21 ft^2

area to be painted = 219 ft^2

Answer: 219 ft^2

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Prove that Tan x + Cos x = 1 /Sin x .Cos x

Anit [1.1K]

Answer:

tanx + cotx = $\frac{1}{sinxcosx}$

Step-by-step explanation:

<u><em>Explanation</em></u>

Take R.H.S = $\frac{1}{sinxcosx}$

= $\frac{sin^{2}x+cos^{2}x }{sinxcosx}$

= $\frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}$

= $\frac{sinx}{cosx} + \frac{cosx}{sinx}$

= tanx + cotx

tanx + cotx = $\frac{1}{sinxcosx}$

5 0

3 years ago

Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per squ

goldenfox [79]

Answer:

$11.76

Step-by-step explanation:

We first need to find the amount of plywood for all birdhouses.

2 3/5 * 8 = 104/5 or 20.8 or 20 4/5

Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.

20.8 * 0.56 = $11.648 or estimated $11.65

Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.

21 * 0.56 = $11.76

Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.

3 0

3 years ago

The diagram shows a prism.

telo118 [61]

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = $\frac{1}{2}(\text{Base})(\text{Height})$

Area of 2 similar sides = Base × Height

= 8 × 15

= 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

= 920 cm²

6 0

3 years ago

At the movie theatre, child admission is $6.40 and adult admission is $9.90. On Friday, 154 tickets were sold for a total sales

Minchanka [31]

6.40x+9.90(154-x)=1230.90
Solve for x
X=84 for child

154-84=70 for adults

4 0

3 years ago

Find the solution set to each inequality. Express the solution in set notation.

daser333 [38]

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

The given inequality is:

6m + 2 > - 27

Subtract 2 to both sides of the inequality

6m + 2 - 2 > -27 - 2

6m > -29

Divide both sides by 6

$\frac{6m}{6}> \frac{-29}{6} \\m > \frac{-29}{6}\\m > -4.83$

For the inequality 8(p-6)>4(p-4)

Expand the inequality using the distributive rule

8p - 48 > 4p - 16

Collect like terms

8p - 4p > -16 + 48

4p > 32

Divide both sides of the inequality 4

$\frac{4p}{4} > \frac{32}{4}\\p > 8$

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

Learn more here: brainly.com/question/15816805

3 0

3 years ago