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NNADVOKAT [17]
2 years ago
7

What is the value of y in the triangle?

Mathematics
1 answer:
Readme [11.4K]2 years ago
8 0

Answer:

• From trigonometric ratios:

{ \rm{ \sin( \theta) =  \frac{opposite}{hypotenuse}  }} \\

→ theta is 41°

→ opposite is y

→ hypotenuse is 26 ft

{ \tt{ \sin(41)  =  \frac{y}{26} }} \\  \\ { \tt{y = 26 \sin(41) }} \\  \\ { \boxed{ \tt{ \: y = 17.06 \:  \: ft}}}

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What's the volume of the cone? Round to tenths place please.
Alenkinab [10]

<u>Given</u>:

Given that the radius of the cone is 2 inches.

The height of the cone is 4 inches.

We need to determine the volume of the cone.

<u>Volume of the cone:</u>

The volume of the cone can be determined using the formula,

V=\frac{1}{3} \pi r^2 h

where r is the radius of the cone and h is the height of the cone.

Substituting r = 2 and h = 4 in the above formula, we get;

V=\frac{1}{3} (3.14) (2)^2 (4)

V=\frac{1}{3} (3.14) (4) (4)

V=\frac{1}{3}(50.24)

V=16.75

Thus, the volume of the cone is 16.75 cubic inches.

5 0
3 years ago
X2-5x-14=0<br> A=1 B=-5C=-14
fredd [130]

Answer:

x²+5x-10=0

x²+(2-7)x-10=0

x²+2x-7x-10=0

x(x+2)-7(x+2)=0

=x+2=0

=x=-2

=x-7=0

=x=7

hope may be right.....

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
B) 144kg in the ratio 1 3.5​
Vlada [557]
So you add 13+5=18

Then you do 144/18=8

8x13=104 8x5=40

104+40=144✅

Answer= 104 : 40
6 0
3 years ago
The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=29, mean of x= 49.98
Lena [83]

Answer:

we say for  μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757  ,  50.033243 )

Step-by-step explanation:

Given data

n=29

mean of x = 49.98 mm

S = 0.14 mm

μ = 50.00 mm

Cl = 95%

to find out

Can we be 95% confident that machine calibrated properly

solution

we know from t table

t at 95% and n -1 = 29-1 = 28 is  2.048

so now

Now for  95% CI for mean is

(x - 2.048 × S/√n  ,  x + 2.048 × S/√n )

(49.98 - 2.048 × 0.14/√29  ,  49.98 + 2.048 × 0.14/√29 )

( 49.926757  ,  50.033243 )

hence we say for  μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757  ,  50.033243 )

8 0
3 years ago
-4x+16=12 what is the answer
ale4655 [162]

Answer:

1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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