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JulsSmile [24]
10 months ago
13

Calculate the missing value. (Not drawn to scale.)

Mathematics
1 answer:
True [87]10 months ago
5 0

Answer:5in

Step-by-step explanation:

1. Identify the triangle

you are given a right triangle with the hypotonus missing and are given the side lengths 3 and 4 you know the hypotonus is 5 by the 3,4,5 Pythagorean tripe, if you do not notice this it can be solved with the Pythagorean theorem a^2+b^2=c^2

2. solve (if not done with 3,4,5 triple)

3^2+4^2=c^2

9+16=c^2

25=c^2

5=c | square root both sides to cancel the square

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In the figure below, triangle ABC undergoes a reflection and a translation to become triangle PQR. In triangle ABC, m <br><br> T
olga nikolaevna [1]

Answer:

Step-by-step explanation:

A corresponds to angle P, so angle P measues 70 degrees.

Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.

7 0
2 years ago
If L = 8 inches, W = 5 inches, and H = 4 inches, what is the volume of the rectangular prism?
Vladimir79 [104]
Volume=legnth times width times height
legnth=8
width=5
height=4
volume=8 times 5 times 4=160

volume is 160 cubic inches or 160 in^3
8 0
3 years ago
Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator
Virty [35]
ANSWER
V=254.47in^3

EXPLANATION

The volume of a cylinder is given by the formula:

V=\pi \: {r}^{2} h

The given cylinder has diameter 6. This means that, the radius is

r = \frac{6}{2}

r = 3cm

The is height is

h = 3r

h = 3(3) = 9cm

We substitute the values into the formula to obtain;

V=\pi \: {3}^{2} \times 9

V=81\pi

V=254.46900494

The volume is 254.47in^3 to the nearest hundredth
7 0
3 years ago
Read 2 more answers
At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up t
klemol [59]
Mandy Increases her books by 2 per month.
Bill increases his books by 4 per month.

Month     Mandy    Bill
May          18          4
June         20          8
July          22        12
August     24        16
Sept        26        20
Oct          28        24
Nov          30        28
Dec        32          32
At the end of December they will have read the same amount of books.
6 0
3 years ago
Read 2 more answers
Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?
Kay [80]

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

\frac{1}{\sqrt{3}}=\frac{BO}{OA}

OA=BO(\sqrt{3})

By applying tangent rule in the given right triangle BOC,

tan(60°) = \frac{OC}{BO}

OC = BO(√3)

OA + OC = AC

BO(\sqrt{3})+BO(\sqrt{3}) =60

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = \frac{OD}{OC}

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

6 0
2 years ago
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