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2 years ago

Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)

Mathematics

1 answer:

Sveta_85 [38]2 years ago

3 0

Answer:

Step-by-step explanation:

All triangles angles add up to 180°

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In ΔSTU, s = 6.1 cm, t = 3.2 cm and u=7.4 cm. Find the measure of ∠S to the nearest 10th of a degree.

GuDViN [60]

Answer:

m∠S = 54.1°

Step-by-step explanation:

Use the law of cosines

$s^{2} = t^{2} + u^{2} - 2utcos S\\6.1^{2} = 3.2^{2} + 7.4^{2} - 2(3.2)(7.4) cos S$

37.21 = 10.24 + 54.76 - 47.36 cos S

-27.79 = -47.36 cos S

.586782 = cos S

arccos .586782 = S

m∠S = 54.1°

8 0

3 years ago

Read 2 more answers

There are 17 more boys than girls at Juab Junior High School. If there are a total of 981 students there, how many students are

Rainbow [258]

The answer is,
981 - 17 which is 964 divided by 2 which is 482 adding back the 17 so the answer is 499

3 0

2 years ago

Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}

devlian [24]

Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

$When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\$

so,

$Point \ A(-8,-3)$

$When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\$

so,

$Point \ B(-4,-1)$

$When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\$

so,

$Point \ C(0,1)$

$When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\$

so,

$Point \ D(2,2)$

$When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\$

so,

$Point \ E(6,4)$

4 0

3 years ago

In aΔABC, if ∠B = 60° and the ratio of two sides is a : c = 2 : √3 + 1, then ∠A= ____.

UkoKoshka [18]

Answer:

∠A= 45°....

Step-by-step explanation:

To find ∠A first we have to find the length of side B by cosine law:

b^2 = a^2 + c^2 – 2 a c cos B

b^2=(2)^2 +(√3 + 1)^2 - 2(2)(√3 + 1) cos 60

b^2 = 6

Taking square root at both sides:

√b^2 = √6

b= 2.45

Now we can calculate ∠A by sine law:

b / sin B = a / sin A

2.45 / sin 60 = 2 / sin A

sin A= 2* √3/2 /2.45

sin A = 2√3/2 * 1/2.45

sinA = 2√3/ 4.9

sin A = 0.7069

sin A = 0.707

A=45°

Thus ∠A= 45°....

4 0

3 years ago

A= bh;<br> A = 28, h = 4

kozerog [31]

28= b(4)
divide both sides by 4. to leave the variable b alone
Answer: 7=b

8 0

3 years ago