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Mademuasel [1]
3 years ago
6

How many ways can you put the letters in "Utah" in order?

Mathematics
1 answer:
vodomira [7]3 years ago
5 0
There’s about 11 different ways.
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Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0
3 years ago
PLEASE HELP ASAPPP !! Instructions: State what additional information is required in order to know that the triangles are congru
Svetllana [295]
<h3>Answer: angle T = angle W</h3>

Explanation:

We are given the sides are congruent due to the tickmarks. Specifically

TU = WV (single tickmarks)

TV = WX (double tickmarks)

So we just need the "A" of "SAS". The A is between the two S letters, so the angle is between the two sides. For triangle TUV, the angle T is between the two sides with the tickmarks. Similarly, angle W is between the tickmarked sides of triangle WVX.

If we know that angle T = angle W, then we have enough information to use SAS.

5 0
3 years ago
WILL GIVE BRAINLIEST!!! NO UNHELPFUL ANSWERS OR I WILL REPORT!!!
tatyana61 [14]

Answer:

b

Step-by-step explanation:

because it is

8 0
3 years ago
Read 2 more answers
Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angl
Step2247 [10]

Answer:

B= 41; C  = 56; A = 83

Step-by-step explanation:

Given

A = 2x + 1

B = x

C = x + 15

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

A + B + C = 180

Substitute values for A, B and C

2x + 1+ x + x + 15 = 180

Collect Like Terms

2x + x + x = 180 - 15 -1

4x = 164

Solve for x

x= 164/4

x= 41

Solve for A, B and C

A = 2x + 1

A = 2 * 41 + 1

A = 82 + 1

A = 83

B = x

B= 41

C = x + 15

C  = 41 + 15

C  = 56

From Smallest to Largest, we have:

B= 41; C  = 56; A = 83

6 0
3 years ago
Write the equation of a horizontal line that passes through the point (-2,2)
kvasek [131]
Y=-2x+2 that's my answer
6 0
3 years ago
Read 2 more answers
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