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Phantasy [73]
3 years ago
15

Find the missing length of the longer leg in the 30° – 60° – 90° triangle. short leg = 3

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

3 root 3

Step-by-step explanation:

in a 30 60 90 degree triangle the side lengths are always in the ratio 1 2 and root 3

if the shortest leg is 3

that means the other legs ar

6 and 3 root 3

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Over the last week,the daily low temperatures in degrees Fahrenheit have been -4,6.2,18 1/2,-5.9,21,-1/4,1.75.List these numbers
Anit [1.1K]

-5.9, -4.6, -1/4, 1/2, 1.75, 2, 18, 21.

8 0
2 years ago
Help with question three please :)
Svetllana [295]

Answer:

i believe its a

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Work out the surface area of this solid prism.
alexandr1967 [171]

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

5 0
2 years ago
Find the measure for the angle of theta
diamong [38]

Answer:

A.

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = θ

Side Adjacent to θ = 8

Hypotenuse = 15

Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.

Thus:

Cos θ = Adj/Hyp = 8/15

Cos θ = 0.5333

θ = Cos^{-1}(0.5333)

θ = 57.7713051°

θ = 57.8° (to nearest tenth)

6 0
3 years ago
What is the common ratio for the geometric sequence? 18,12,8,163,… Enter your answer in the box.
uysha [10]

Answer:

\frac{2}{3}.

Step-by-step explanation:  

We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.

We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.

\text{Common ratio of geometric sequence}=\frac{a_2}{a_1}

Let us use two consecutive numbers of our sequence in above formula.

a_2 will be 12 and a_1 will be 18 for our given sequence.

\text{Common ratio of geometric sequence}=\frac{12}{18}

Dividing our numerator and denominator by 6 we will get,

\text{Common ratio of geometric sequence}=\frac{2}{3}

Let us use numbers 8 and 16/3 in above formula.

\text{Common ratio of geometric sequence}=\frac{\frac{16}{3}}{8}

\text{Common ratio of geometric sequence}=\frac{16}{3*8}

\text{Common ratio of geometric sequence}=\frac{2}{3}

Therefore, we get \frac{2}{3} as common ratio of our given geometric sequence.




6 0
2 years ago
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