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3 years ago

What is the length of side Ef? Round your answer to the nearest tenth.

Mathematics

1 answer:

kogti [31]3 years ago

3 0

Answer:

11.1

Step-by-step explanation:

Here, we want to get EF

To do this, we use the appropriate trigonometric ratio

we have the side facing the right angle as the hypotenuse

the measure of this is 18

The side facing the angle 38 is EF

This is the opposite to angle 38

The ratio of the opposite to the hypotenuse is equal the sine

sin 38 = EF/18

EF = 18 sin 38

EF = 11.1

You might be interested in

-x^2+4x-8 axis of symmerty

V125BC [204]

Answer:

$\boxed {\boxed {\sf x=2}}$

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

$x=\frac{-b}{2a}$

First we must determine a and b from the quadratic: $-x^2+4x-8$ . This is in standard form, with the highest power first in descending order.

Standard form is also: $ax^2+bx+c$

If we compare this to the quadratic given, we can conclude that:

$a= -1 \\b= 4 \\c= -8$

Substitute the values for a and b into the formula.

$x= \frac{-(4)}{2(-1)}$

Multiply in the denominator.

$x=\frac {-4}{-2}$

Divide.

$x=2$

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

8 0

3 years ago

The distance from Gillette, New Jersey, to Irvington, New Jersey, is 1 mile more than four times the distance from Irvington to

vivado [14]

Answer:

distance from Irvington to Newark

.= 3 Miles

Step-by-step explanation:

distance from Irvington to Newark.= X

distance from Gillette, New Jersey, to Irvington, New Jersey,= y

Y= 1+4x

total distance from Gillette to Newark

= z

Z= 6x-2

But total distance = x+y

Total distance= x+1+4x

Total distance= 1+5x

1 +5x= 6x-2

1+2= 6x-5x

3= x

distance from Irvington to Newark.= X

distance from Irvington to Newark

.= 3 Miles

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4x

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4(3)

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+12

distance from Gillette, New Jersey, to Irvington, New Jersey,= 13 miles

Total distance= 1+5x

Total distance= 1+5(3)

Total distance= 16 miles

7 0

3 years ago

Is “12.95 x 10^4” a Scientific Notation? Yes or No? Explain.

trapecia [35]

Answer:

Yes

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. and that is something Very similar.

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7 0

3 years ago

Simplify this expression. (√2 + √3)(√5 - √7)

Stels [109]

\sqrt{10}-\sqrt{14}+\sqrt{15}-\sqrt{21}

4 0

3 years ago

Read 2 more answers