What is the area of the figure?

Answers

Answer 1

Answer: Divide the shape to two different shapes
We get a trapezium/trapezoid
And a triangle

Formula of the area of a trapezium:
$(1)/(2)$ × height × (base₁ + base₂)
$(1)/(2)$ × 5 × (14 + 18)
*(height is 5, because 17 - 12 = 5)
2.5 × 32
80 mm²

Formula of the area of a triangle:
$(1)/(2)$ × base × height
$(1)/(2)$ × 18 × 12
48 mm²

Total Area:
Area of trapezium + Area of triangle
80 + 48
128 mm²

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What fraction of 130 is 80

Answers

The fraction should be $(8)/(13)$

Calculation of fraction:

Since the two numbers are given 130 and 80

We have to know about the fraction

So, the fraction should be

$= 80/ 130\n\n= 8/ 13$

Learn more about the fraction here: brainly.com/question/1786648

This is an unusual question, since they commonly ask for the percentage of the number. Nevertheless,
$(80)/(130)=(8)/(13)$
Therefore $80=130((8)/(13))$

Solve the equation sin^2 x=3 cos ^2 x

Answers

Answer:

Step-by-step explanation:

Answer:

Explanation:

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$\bf \textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \n\n[-0.35em] \rule{34em}{0.25pt}\n\n sin^2(x)=3cos^2(x)\implies sin^2(x)=3[1-sin^2(x)] \implies sin^2(x)=3-3sin^2(x) \n\n\n sin^2(x)+3sin^2(x)=3\implies 4sin^2(x)=3\implies sin^2(x)=\cfrac{3}{4}$

$\bf sin(x)=\pm\sqrt{\cfrac{3}{4}}\implies sin(x)=\pm\cfrac{√(3)}{√(4)}\implies sin(x)=\pm\cfrac{√(3)}{2} \n\n\n sin^(-1)[sin(x)]=sin^(-1)\left( \pm\cfrac{√(3)}{2} \right)\implies x= \begin{cases} (\pi )/(3)\n\n (2\pi )/(3)\n\n (4\pi )/(3)\n\n (5\pi )/(3) \end{cases}$

that is, on the interval [0, 2π].

The lot that Dana is buying for her new one story house is 35 yards by 50 yards. Dana's house plans show that her house will cover 1,600 square feet of land. What percent of Dana's lot will not be covered by the house ? Explain your answer.

Answers

35x50=1,750-1,600=150. We need to find out what 150 is of 1,600.
150/1,600=?/100
1,600 divided by 100=16
do the same for 150
150 divided by 16=9.375
(you can make it whole if you want)
the answer is about 9%

3. An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed?

Answers

262.5 miles
explanation 1/4 is half of 1/2 so 52.5 is half of 105 and then 210 for an hour of travel

Answer:

105 at 30 min.

x at 75 min.

105 mph x 2 = 210 mph at one hour

There is still 15 min to go soooo...

210/4 = 52.5

210 + 52.5 = 262.5 mph for 75 min

Check by dividing

262.5/75=3.5

Trey read 10 pages in 25 minutes at at this rate how many pages will he read and 45 minutes

Answers

Trey will read 18 pages in 45 minutes.

This is because he read 2.5 pages a minute. 25/10 = 2.5
so if we 45/2.5 = 18

10 pages per 25 min. and now there is 45. Divide 45 by 25 and get 1.8, so not multiply 10 by 1.8 : 10 • 1.8 = 18. Trey reads 18 pages in 45 minutes. Hoped I helped!

Write an equation of 45 is the product

Answers

Step-by-step explanation:

The product of two numbers is 45. One number is greater than the other by 4 units. The numbers are as follows.

9 × 5 = 45

Again the product of two numbers is 45. One number is greater than the other by 12 units. The numbers are as follows.

15 × 3 = 45

Again the product of two numbers is 45. One number is greater than the other by 44 units. The numbers are as follows.

45 × 1 = 45

9 * 5 = 45

5 * 9 = 45

15 * 3 = 45

3 * 15 = 45

*Hope that helps and enjoy Brainly :)*

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