All categories

2 years ago

This is a 30-60-90 triangle. What is the measure of x? 3.8 A Х x = 1.9V[?]

Mathematics

1 answer:

alexdok [17]2 years ago

3 0

3

Mark brainliest please

Hope this helps

You might be interested in

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

The maximum walking speed (in feet per second) of a large animal can be modeled by the equation S = sqrt(gL) where S = speed in

Lubov Fominskaja [6]

1. The domain of a sqrt(x) is x > 0. So, L > 0.
2. The range of a S(x) = sqrt(x) is S(x) > 0 for all valid x > 0.

4 0

3 years ago

-2/3y-3/4=5 What is the answer i need to show my work please

vodka [1.7K]

Answer:

y= -69/8 (negative 69 over 8)

Step-by-step explanation:

First, you have to simplify both sides of the equation:

$-2/3y+ -3/4 =5$

Second, add 3/4 to both sides:

-2/3y +-3/4 + 3/4=5 +3/4

-2/3y= 23/4

Next, multiply both sides by 3/(-2) (3 over -2)

(3/-2)*(-2/3y)= (3/-2) * (23/4)

y= -69/8

7 0

3 years ago

Sin167cos107-cos167sin107

insens350 [35]

Sin 167 = 0.22495

cos 107 = -0.29237

cos 167 = -0.97437

sin 107 = 0.95630

(sin 167)(cos 107) - (cos 167)(sin 107)

(0.22495)(-0.29237) - ( -0.97437)(0.95630)

= 0.86602

hope this helps :)

6 0

3 years ago

HELP PLEASE GEOMETRY find x and y

dimulka [17.4K]

$3x + 30 + 2x - 20 = 360 \\ 5x + 10 = 360 \\ 5x = 350 \\ x = 70$
$y = \frac{3x + 30 - 2x + 20}{2} = \frac{x + 50}{2} = \frac{120}{2} = 60$

3 0

3 years ago