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kifflom [539]
3 years ago
5

Alex drew the triangles shown. Which of the following correctly describes the triangles? 2 triangles are shown. Each triangle ha

s sides of different lengths. Each triangle has 1 obtuse angle and 2 acute angles. A. Both triangles are isosceles. B. Only one triangle has a right angle. C. Only one triangle has an acute angle. D. Both triangles have an obtuse angle. help HELP
Mathematics
1 answer:
evablogger [386]3 years ago
4 0

Answer: D. Both triangles have an obtuse angle

This is because it says "Each triangle has <u>1 obtuse angle</u> and 2 acute angles" in the instructions. An obtuse angle is any angle between 90 and 180 degrees, excluding both endpoints.

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Please give the correct answer and explain im really trying to learn this so I need the explanation not just an answer. Thankyou
Maksim231197 [3]

Answer:

x = tan⁻¹(⅘)

Step-by-step explanation:

We can solve for x by using trigonometric ratios (sin, cos, and tan)

We need to apply the appropriate ratio that uses the two sides 8 and 10 from the perspective of x. See attached image for information about ratios. (Source: Math is Fun)

The tangent ratio is opposite divided by adjacent. It will relate x to the two sides. So we would write

tan(x) = ⁸⁄₁₀

Then we simplify and move the tan to the other side by multiplying both sides by the inverse of tan (since you cannot divide by tan)

tan(x) = ⅘

x = tan⁻¹(⅘)

Then we can use a calculator to evaluate x

If you want to find y, now that you have two angles of the triangle, you can find the sum of 90 + x and subtract that from 180 (since all angles of a triangle add up to 180) to find y.

6 0
3 years ago
ΔTUV∼ΔMLV
Musya8 [376]

Answer:

98

Step-by-step explanation:

From the statement of similarity, we can write this proportion.

TV/MV = UV/LV

28/x = 16/56

16x = 28 × 56

x = 7 × 14

x = 98

4 0
1 year ago
A savings account earns 7.2 (APR) compounded monthly, so it earns 0.6% each month. Cooper has $1500 in the account now. if he de
iragen [17]

<u>Answer-</u>

<em>Cooper will receive </em><em>$12.00</em><em> at the end of the month.</em>

<u>Solution-</u>

Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.

So the total principal becomes 1500+500 = $2000

Given here,

APR = annual percentage rate = 7.2%

But as we have to calculate the monthly interest, so monthly interest rate would be =\dfrac{7.2}{12}=0.6\%

Time period = 1 month

So, the interest after 1 month will be,

\text{interest}=\dfrac{\text{Principal}\times \text{Rate of interest}\times \text{Time period}}{100}

=\dfrac{2000\times 0.6\times 1}{100}

=\$12.00

Therefore, Cooper will receive $12.00 at the end of the month.

7 0
3 years ago
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How do u convert decimals to percents and percents to decimals????????
Oduvanchick [21]

Answer:

To convert a decimal to percent, just multiply it by 100, or move the decimal place 2 times

Ex: 0.29 x 100 = 29

The answer would be 29%

To convert a percent to a decimal, do the opposite

Ex: 29%/100 = 0.29

4 0
3 years ago
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Complete the equation of the graphed linear function. Write the slope in decimal form.
erma4kov [3.2K]

Every straight line graph has an equation in the same form:

             y  =  (slope of the line) x  +  (y-intercept) .


-- The slope of the line is

     (how far it goes UP, going left to right between any 2 points)
divided by
     (how far it goes left to right between the same 2 points) .

The line on this graph has a slope of  + 1/2 .


-- The y-intercept is the point where the line crosses the y-axis.
The line on this graph crosses the y-axis at  -1 .

                       y  =  (slope of the line) x  +  (y-intercept) .                     

                       y  =      ( 0.5 ) x                            ( - 1 ) .

6 0
3 years ago
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