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2 years ago

I don’t understand if anyone can explain?

Mathematics

1 answer:

Zigmanuir [339]2 years ago

6 0

Answer:

Part A: 320 ft²

Part B: 2,304 ft²

Step-by-step explanation:

Part A:

Area of one triangular face of the square pyramid = ½*base*height

base = 32 ft

height = 20 ft

Area = ½*32*20

Area = 320 ft²

Part B:

Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces

= s² + 4(area of 1 triangular face)

s = 32 ft

area of 1 triangular face = 320 ft²

Total surface area = 32² + 4(320) = 1,024 + 1,280

= 2,304 ft²

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3 years ago

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The table shows the temperature (y) at different altitudes (x). This is a linear relationship. Find the y-intercept for this rel

jok3333 [9.3K]

Answer:

b = 79

Step-by-step explanation:

The y-intercept is the point at which x is 0. Looking at the data table, when x is 0, y is 79.

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3 years ago

Write an equation in slope-intercept form of the line that passes through (6,-2) and (12,1)

yarga [219]

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

$y =\frac{1}{2}x-5$

Step-by-step explanation:

Given points are:

(x1,y1) = (6,-2)

(x2,y2) = (12,1)

The slope intercept form is:

$y=mx+b$

We have to find the slope first

$m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}$

Putting the value of slope

$y = \frac{1}{2}x+b$

To find the value of b, putting (12,1) in the equation

$1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5$

Putting the values of m and b

$y =\frac{1}{2}x-5$

Hence,

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

$y =\frac{1}{2}x-5$

Keywords: Equation of line, slope-intercept form

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3 years ago

A positive integer is 4 less than another. If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of

Arlecino [84]

Answer:

(0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

If a positive integer is 4 less than another, then;

x = y - 4 ...1

If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;

1/y - 3(1/x) = -67

1/y -3/x = -67 ...2

Substitute 1 into 2

1/y - 3/y-4 = -67

y-4-3y/y(y-4) = -67

-4-2y = -67(y^2-4y)

- 4-2y = -67y^2 +268y

-67y^2 +268y+2y + 4 = 0

-67y^2 +270y + 4 =0

67y^2 -270y - 4 = 0

Factorize

-270±√270² - 4(-4)(67)/2(67)

= -270±√72,900+1072/134

= -270±271.97/134

= -270 -271.97/134 and -270 +271.97/134

= -541.97/134 and 1.97/134

x = 0.0147 and -4.04

y = x+4

y = 0.0147+4

y = 4.0147

If x = -4.04

y = -4.04 + 4

y = 0.04

Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)

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3 years ago

Help please? math is not my strong point.

kvv77 [185]

Answer:

d) 37.3 in

Step-by-step explanation:

'm pretty sure it is 37.3

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3 years ago