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3 years ago

What is the value of x in the diagram below?

Mathematics

1 answer:

otez555 [7]3 years ago

8 0

The cosine of 30° is √3 / 2.

Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.

The cosine of 45° is √2 / 2.

Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C

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Write the subtraction expression as an equivalent addition expression and then evaluate it.

Serga [27]

Answer:

hmm. 15 - 12 =3

Step-by-step explanation:

correct ba sorry grade 4 palang bobo pa

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3 years ago

algebra 1 exam 5 - continued Use the point-slope form linear equation given to complete problems 5-18 13. what is the equation i

Virty [35]

Answer:

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Step-by-step explanation:

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3 years ago

A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other leng

aalyn [17]

$a,b,c-\ sides\ of\ triangle\\\\a+b+c=18\ inches\\\\a=8inch\\\\\frac{b}{c}=\frac{2}{3}\\\\3b=2c\ \ --->b=\frac{2c}{3}\\\\8+\frac{2c}{3}+c=18\ |*3\\\\24+2c+3c=54\\\\5c=54-24\\\\5c=30\\\\c=\frac{30}{5}=6\\\\Length\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.$

8 0

3 years ago

19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their p

Lyrx [107]

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

5 0

2 years ago

The USS Enterprise was 1,123 feet in length.

Kitty [74]

Answer:

The scale for a model that is 30 inches long is 449.2 inches.

The scale for a model that is 2 feet long is 561.5 feet.

Step-by-step explanation:

Consider the provided information.

The USS Enterprise was 1,123 feet in length.

Part (A) What is the scale for a model that is 30 inches long?

1 feet = 12 inches.

First convert the length of USS enterprise in inches.

1×1,123 feet = 12×1,123 inches

1,123 feet = 13476 inches

Divide original length with the length of model.

The scale for the model is:

$\frac{13476}{30}=449.2\ inches$

Hence, the scale for a model that is 30 inches long is 449.2 inches.

Part (B) What is the scale for a model that is 2 feet long?

Since, both the units are in feet, so simply divide original length with the length of model.

The scale for the model is:

$\frac{1123}{2}=561.5\ feet$

Hence, the scale for a model that is 2 feet long is 561.5 feet.

6 0

3 years ago