What is the exact value of sin 30° ?

What is the surface area of this rectangular prism? 5 ft 4 ft 12 ft

givi [52]

Answer:

256 ft²

Step-by-step explanation:

$SA=2(lw+lh+wh)$ where l is length and w is width and h is height

Plug in the given information

$SA=2(5*4+5*12+4*12)\\SA=2(20+60+48)\\SA=2(80+48)\\SA=2(128)\\SA=2(128)\\SA=256$

Therefore, the surface area of the rectangular prism is 256 ft².

I hope this helps!

5 0

3 years ago

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4y + 3q - 5q^3 PLS ANSWER ASAP

Ilya [14]

Answer:

4y+q(3-5q^2)

Step-by-step explanation:

common taking from 3q-5q^3

6 0

3 years ago

What are the prime factors of 85734

Afina-wow [57]

2, 3, 6, 11, 18 ,198,433

5 0

4 years ago

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.

Harlamova29_29 [7]

Answer:

Length of BO is three times the length of DO.

Step-by-step explanation:

In trapezoid ABCD, $CD\ ||\ AB$

In ΔCDO and ΔABO,

$m\angle CDO=m\angle ABO$ (Alternate interior angles)
$m\angle DCO=m\angle BAO$ (Alternate interior angles)

So, $\Delta CDO\sim \Delta ABO$ according to Angle-Angle similarity.

Therefore, the ratio of corresponding sides will be same.

$\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{OA}$

$\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{3\cdot OC}$

$\Rightarrow \dfrac{OD}{OB}=\dfrac{1}{3}$

$\Rightarrow OB=3\cdot OD$

5 0

3 years ago

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At 107°F, a certain insect chirps at a rate of 92 times per minute, and at 113°F, they chirp 116 times per minute. Write an equa

dsp73

Answer:

The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.

Step-by-step explanation:

A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.

When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:

$m=\frac{y2-y1}{x2-x1}$

Having a point on the line, you can substitute the values of m, x and y in the equation y = mx + b and thus find b.

In this case:

(x1, y1): (92, 107)
(x2, y2): (116, 113)

So:

$m=\frac{113-107}{116-92}$

m= 0.25

substituting the values of m, x1 and y1 in the equation y = mx + b you have:

107= 0.25*92 + b

107 - 0.25*92= b

84=b

The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.

3 0

3 years ago