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Viefleur [7K]
3 years ago
9

2. Use the image below to answer problems A-C. Show all work.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0
<span>A. Calculate the value of x.</span>
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Need someone to help that KNOWS the ANSWER PLSSS HELP
amm1812

Answer:

72 inches

Step-by-step explanation:

The perimeter is the sum of the outside "fence"

The side on the left that is not marked is 19-11 = 8

And the side on the top that is not marked is 17-10 = 7

Summing up the sides starting at 19 and going clockwise

19+17+11+7+8+10 =

72 inches

5 0
3 years ago
In the equation 9^2 x 27^3 = 3^x, what is the value of x? <br> Show your work on scratchpaper
IceJOKER [234]

Answer:

x=13

Step-by-step explanation:

9^2 * 27^3 = 3^x

We need to get each term with a base of 3

9^2 = (3^2) ^2

We know that a^b^c = a^(b*c)

(3^2) ^2 = 3^(2+2) = 3^4

27^3 = (3^3) ^3 = 3^(3*3) = 3^9

Replacing these in the original equation

3^4 * 3^9 = 3^x

We know that a^b *a^c = a^(b+c)

3^4 * 3^9  =3^(4+9) = 3^13 = 3^x

The bases are the same, so the exponents must be the same

x=13

7 0
3 years ago
I’d appreciate itttttttt soooo muchhh if you even do only one, it’s easy but I’m tiredddddd
zubka84 [21]

Answer:

1. x= -1/3

2. y= -4, x= 2

3. y=-2, x=1

Step-by-step explanation:

7 0
3 years ago
24) sin x = 1/3<br> Find cos x.
liq [111]

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

6 0
2 years ago
Read 2 more answers
The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3
kap26 [50]

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

4 0
3 years ago
Read 2 more answers
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