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3 years ago

The diagram shows the net of a juice box. The box is a rectangular prism.

Mathematics

1 answer:

Hoochie [10]3 years ago

6 0

Answer:

269.6 square centimeters

Step-by-step explanation:

The correct question is

The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm

we know that

The surface area of a rectangular prism is equal to

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

$L=6.4\ cm\\W=4\ cm\\H=10.5\ cm$

Find the area of the base B

$B=LW$

substitute the given values

$B=(6.4)(4)=25.6\ cm^2$

Find the perimeter of the base P

$P=2(L+W)$

substitute the given values

$P=2(6.4+4)=20.8\ cm$

Find the surface area

$SA=2B+PH$

substitute

$SA=2(25.6)+(20.8)10.5=269.6\ cm^2$

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There are two values of a for which the equation 5x2+ax+7x+5=0 has only one solution for x. What is the sum of those values of a

JulsSmile [24]

Answer:

-14

Step-by-step explanation:

First of all, we know that 5x^2+ ax+7x +5=0 only has one root. That means that b^2 - 4ac=0, and we can use this to find the discriminant, ax + 7x.

Now, if we simplified 5x^2+ ax+7x +5=0, by dividing it all by 5, it would be x^2+(a+7)/5x + 1 = 0.

After, we can plug what we know into the formula, b^2 - 4ac=0. It would be:

(a+7)^2 / 25 - 4 = 0

(a+7)^2 / 25 = 4

(a+7)^2 = 100

Since this is a square root, a+7 can be both negative or positive.

a+7= 10, or a+7 = -10

a=3, or a=-17

The question asks for the sum of a, which is 3 + (-17) = -14

Therefore, the answer is -14.

:) have fun with your rsm problems, assuming you got this from the portal.

7 0

3 years ago

I am a multiple of 70 I am between 300 and 500 I am 20 more than a multiple of 100 who am I?

Harlamova29_29 [7]

#420

because 70x4=420 within 300 and 500 and is greater than 400 which is a multiple of 100

8 0

4 years ago

(NEED THE ANSWER AS SOON AS POSSIBLE)

Naya [18.7K]

Answer: 42 - 8x

Step-by-step explanation:

Here is the complete question:

Jessica had $15. She bought 3 apples for x dollars each. Levi had $27 and bought 5 apples for x dollars each. Which expression represents how much money both Jessica and Levi have left altogether?

Select one:

27 – 5x

42 – 8x

12 – 2x

39 – 3x

From the question, Jessica had $15. She bought 3 apples for x dollars each. This means she had:

15 - (3 × x) = 15 - 3x

Levi had $27 and bought 5 apples for x dollars each. Levi will have:

27 - (5 × x) = 27 - 5x

The amount they'll have altogether will be the addition of their amount left. This will be:

15 - 3x + 27 - 5x

= 15 + 27 - 3x - 5x

= 42 - 8x

5 0

3 years ago

Read 2 more answers

What is the y intercept of a line that passes through (1,-7) and (5,-25). How do I find it.

LUCKY_DIMON [66]

Answer:

y- intercept = - 2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)

m = $\frac{-25+7}{5-1}$ = $\frac{-18}{4}$ = - 4.5 , then

y = - 4.5x + c

To find c substitute either of the 2 points into the equation

Using (1, - 7), then

- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5

y- intercept c = - 2.5

3 0

3 years ago

Please helppppppppppppp

Leona [35]

The x would equal 0 and the y would equal 3

6 0

3 years ago