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Mariulka [41]
3 years ago
9

Find the side indicated by the variable. Round to the nearest tenth.​

Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Answer:

b ≈ 25.6

Step-by-step explanation:

From the figure attached,

By applying tangent rule in the given triangle,

tan(32°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(32°) = \frac{16}{b}

b = \frac{16}{\text{tan}(32)}

b = \frac{16}{0.62487}

b = 25.605

b ≈ 25.6

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bogdanovich [222]

Answer:

314.16 m (if pi = 3.14) || 314π m (if (you may want to check the math yourself, just in case!)

Step-by-step explanation:

Step 1) Formula of a cone.

•volume = (1/3) * π * r² * h. [Or, if you prefer, volume = π * r² * h/3 ]

Step 2) Apply numbers.

•r = 1/2 * base diameter || r = 5 m

•height(h)= 12 m

Step 3) Apply formula.

V= (1/3) * π * 5² * 12

[Step 4 depends on how you learn, and this also dictates the answer, please read carefully.]

Step 4a) IF DEFINITE EXACT ANSWER (π = π), then V= 314.16

Step 4b) IF π = 3.14, then V= 314π

I was taught in a strange way where two different methods can be applied, so the answer depends on which one you've been taught!

(apologies if a mistake has been made)

5 0
2 years ago
Help me pleaseeee asap
sdas [7]

Answer:

5089.4cm³ (rounded to 1 d.p.)

Step-by-step explanation:

Volume of cylinder = \pi × r² × h

Volume of cylinder = \pi × 9² × 20

                                = 1620\pi

                                = 5089.4cm³ (rounded to 1 d.p.)

4 0
3 years ago
Solve the simultaneous equations<br> y=2-5x<br> y = x² – 2x – 8
Aloiza [94]

Answer:

Step-by-step explanation:

sub equation 1 into 2

2-5x=x²-2x-8

0=x²-2x+5x-8-2

0=x²+3x-10

0=(x-2)(x+5)

x=2 or x=-5

sub x into equation 1

y=2-5(2)                            or        y=2-5(-5)

y=-8                                              y=27

8 0
1 year ago
The quotient of a number and -4 is -9
natima [27]

Answer:36

Step-by-step explanation:36÷ -4 = -9

4 0
3 years ago
Sec (90 -A) sinA = cot (90-A). tan( 90- A)​
djyliett [7]

Step-by-step explanation:

sec(90-A) . Sin A = cot (90-A) . tan(90-A)

cosec X sinA = tanA X cotA

1/sinA X sinA = tanA X 1/tanA

1=1

Hence proved

3 0
3 years ago
Read 2 more answers
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