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2 years ago

13

What is the surface area of the figure shown? Plz answer asap

1 answer:

Luba_88 [7]2 years ago

3 0

Answer:

$264\ cm^{2}$

Step-by-step explanation:

we know that

The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism

step 1

Find the lateral face of the triangular prism

The lateral area is equal to the area of its four lateral triangular faces

$LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}$

step 2

Find the lateral area of the rectangular prism

The lateral area is equal to the perimeter of the base multiplied by the height

$LA=(4)(6)(6)=144\ cm^{2}$

step 3

Find the area of the base of the rectangular prism

$B=(6)(6)=36\ cm^{2}$

step 4

Find the surface area

$84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}$

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Answer: if it’s perimeter the answer is 34 if your looking for area the answer is 55

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2 years ago

Evaluate the polynomial for the given value of x: f(x) =3x^3+5x^2+x-2 when x=2

sasho [114]

Answer: $f(2)=44$

Step-by-step explanation:

Given the polynomial $f(x) =3x^3+5x^2+x-2$ , you can evaluate it for the given value of the variable "x" by substituting the value $x=2$ into the polynomial.

Therefore, when $x=2$ , you get the following result:

$f(x) =3x^3+5x^2+x-2 \\\\f(2) =3(2)^3+5(2)^2+(2)-2\\\\f(2)=3(8)+5(4)+2-2\\\\f(2)=24+20\\\\f(2)=44$

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2 years ago

Write an equation of the line, in standard form, containing the points (−6, 19) and (−15, 28).

Rudiy27

The equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

<em><u>Recall:</u></em>

Equation of a line can be written in standard from as Ax + By = C, where Ax and By are all terms of variable x and y, and C is a constant.

The equation of a line in point-slope, $y - y_1 = m(x - x_1)$ , can be rewritten in the standard form.

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1}$

Given: (−6, 19) and (−15, 28)

<em>Find the </em><em>slope </em><em>(m):</em>

<em /> $m = \frac{28 - 19}{-15 -(-6)} = \frac{9}{-9} = -1$

Write the equation in point-slope form by substituting m = -1 and $(x_1, y_1) = (-6, 19)$ into $y - y_1 = m(x - x_1)$ .

$y - 19 = -1(x - (-6))\\\\y - 19 = -1(x + 6)$

Rewrite in standard form

$y - 19 = -1(x + 6)\\\\y - 19 = -x - 6\\\\y = -x - 6 + 19\\\\y = -x + 13\\\\\mathbf{x + y = 13}$

Therefore, the equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

Learn more about equation of a line in standard form on:

brainly.com/question/19169731

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1 year ago

How many milliliters are in 30 liters? <br><br> 300<br> 3,000<br> 30,000<br> 300,000

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Answer:

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Step-by-step explanation:

multiply the volume value by 1000

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Brainliest if this was helpful. Thanks!

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3 years ago

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Answer:

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Step-by-step explanation:

The term of degree 4 is the term with the exponent of 4

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The coefficient is the number out in front

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2 years ago

Read 2 more answers