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3 years ago

Write the ratios for sin A and cos B. The triangle is not drawn to scale.

Mathematics

1 answer:

babymother [125]3 years ago

4 0

By definition we have:
sineA = (C.O) / (h)
cosA = (C.A) / (h)
Where,
C.O: opposite leg
C.A: adjacent leg
h: hypotenuse
Substituting values:
sinA = (48) / (50)
cosA = (14) / (50)
Answer:
sineA = (48) / (50)
cosA = (14) / (50)
Option 2

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Determine m angle F by using the figure

matrenka [14]

Answer:

The measure of angle F is m∠F=130°

Step-by-step explanation:

step 1

Find the measure of angle E

we know that

An isosceles triangle has two equal sides and two equal interior angles

In this problem

DF=EF ----> given problem

Triangle DEF is an isosceles triangle

m∠D=m∠E

we have

m∠D=25°

substitute

m∠E=25°

step 2

Find the measure of angle F

we know that

The sum of the measures of the interior angles in a triangle must be equal to 180 degrees

m∠D+m∠E+m∠F=180°

substitute the values

25°+25°+m∠F=180°

50°+m∠F=180°

m∠F=180°-50°

m∠F=130°

4 0

3 years ago

Can you use the properties of exponents you discovered to simplify 5^2 · 2^5 ?

Nostrana [21]

5² × 2⁵ = 25 × 32 =. 800

Hope this helps

5 0

3 years ago

A few weeks ago, Vera bought 5 apples from her local farmers' market. Today, she bought 4 apples. What is the percent of decreas

NikAS [45]

20% decrease

5-4=1
1÷5×100= 20

3 0

3 years ago

Mary pumped 7 gallons of water out of her pool each minute for 63 minutes. What was the total change in the amount of water in t

ruslelena [56]

Answer:

The amount of water is 30 gallons a minute

5 0

3 years ago

Read 2 more answers

Write the standard form of the equation of the circle with the given characteristics. Center: (3, 5); Solution point: (−2, 17)

Angelina_Jolie [31]

$\text{we know that the general equation of the circle is }\\
\\
(x-h)^2+(y-k)^2=r^2\\
\\
\text{where, (h,k) is the center of the circle and r is the radius.}\\
\\
\text{Given that the centered of the circle is at }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
\\
\text{so the radius of the circle will be the distance between center and the }$

$\text{solution point. so using the distance formula, we have}\\
\\
\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
\\
\Rightarrow r=\sqrt{25+144}\\
\\
\Rightarrow r=\sqrt{169}\\
\\
\Rightarrow r=13\\
\\
\text{Hence using the standard for of circle, equation of circle with center}\\
(h,k)=(3,5) \text{ and radius r=13 is}\\
\\
(x-3)^2+(y-5)^2=(13)^2\\
\\
\Rightarrow (x-3)^2+(y-5)^2=169$

3 0

3 years ago