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ikadub [295]
3 years ago
5

A right triangle as shown below

Mathematics
1 answer:
anastassius [24]3 years ago
6 0

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

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Can somebody help me, please?
Sveta_85 [38]

Answer:

a.x=10 \textdegree

b.

m\angle L=39\textdegree\\\\m\angle M=51\textdegree\\\\m\angle K=90\textdegree

Step-by-step explanation:

a. We know that angles in a triangle add up to 180°.

-The right angle triangle in the right triangle has a measure of 90°.

We can therefore equate our angles to 180° and solve for x;

180=\perp\angle+(2x+19)+(3x+21)\\\\180=90+(2x+19)+(3x+21)\\\\90=5x+40\\\\5x=50\\\\x=10\textdegree

Hence, the angle measure is x=10°

b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:

m\angle L=(2x+19)\textdegree\\\\=(2\times 10+19)\textdegree\\\\=39\textdegree\\\\m\angle M=(3x+21)\textdegree\\\\=(3\times 10+21)\textdegree\\\\=51\textdegree

Since, the m∠K is a right angle, it measures 90°

8 0
3 years ago
A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. Ho
Olenka [21]

Answer: She sold 6.6kg of pears in the market.

Step-by-step explanation:

 Weight of apples and pears at the farmer's market.=8.8 kilograms

Weight of apples = 1/4

which is = 1/4 x 8.8kg = 2.2 kg

Weight of Pears =Weight of apples and pears - Weight of apples

= 8.8kg- 2.2kg

= 6.6kg

5 0
3 years ago
K(1,0), L(4,1), M(1,4), N(-2, 3) 90% counterclockwise rotation
docker41 [41]

Answer:

K (0,1)

L (-1,4)

M (-4,1)

N (-3,-2)

Step-by-step explanation:

When you rotate a figure 90 degrees counterclockwise about the origin, the points all change from (x,y) to (-y,x). Therefore the points would go from: (answers on right side)

K (1,0) ---> K (0,1)

L (4,1) ---> L (-1,4)

M (1,4) ---> M (-4,1)

N (-2,3) ---> N (-3,-2)

5 0
3 years ago
The value of 33+4⋅(52−42)
joja [24]

We will use order of operations (PEMDAS) to solve this.

1.) 33+4(52-42) This is our equation. So, first we are gonna subtract 42 from 52.

2.) 33+4(10) Now that we did that, we are gonna add 4 to 33.

3.) 37(10) Lastly we are gonna multiply 37 by 10.

The answer is gonna be 370. If this helped, maybe consider giving me brainliest :)

7 0
2 years ago
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3 x 2 1/2= ?????????????????/<br> Welp
igor_vitrenko [27]

Answer:15/2

Step-by-step explanation:

3 0
3 years ago
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