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2 years ago

Find the surface area of the rectangular prism

Mathematics

1 answer:

Mars2501 [29]2 years ago

7 0

6 for the two bases = 12
6 x 2 = 12 for the 4 faces = 48
48+12 = 60 cm^2

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A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each sho

sesenic [268]

Answer:

The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg

Step-by-step explanation:

Let

x=nuts at $2.50 per kg

y=cereal at $1 per kg

x+y=60 kg (1)

2.50x+y=1.40(60) (2)

From (1)

x=60-y

Substitute x=60-y into (2)

2.50x+y=1.40(60)

2.50(60-y)+y=84

150-2.5y+y=84

-1.5y=84-150

-1.5y=-66

Divide both sides by -1.5

y=44 kg

Substitute y=44 into (1)

x+y=60

x+44=60

x=60-44

=16

x=16 kg

3 0

3 years ago

Below is the justification for the formula for area of a circle. Which word, when placed in the blank best completes this argume

mote1985 [20]

Answer:

The correct answer is option A. r

Step-by-step explanation:

From the figure we can see a circle and a parallelogram.

The circle is divided into a small sectors and these sector then arranged into a parallelogram.

The base of the parallelogram is half the circumference.

The height of parallelogram is equal to the radius of the given circle. Here radius is 'r'.

Therefore the correct answer is option A. r

8 0

3 years ago

Read 2 more answers

Find x 6787+x=99798999?<br><br><br> dom join my remind ......28gc97d

wolverine [178]

Answer:

x=99792212

Step-by-step explanation:

get the x alone by subtracting 6787 from both sides

6787-6787+x=99798999-6787

x=99792212

Hope this helps!

5 0

3 years ago

Read 2 more answers

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

2 years ago

PLEASE HELP THANK YOU SO MUCH IN ADVANCE. IF POSSIBLE PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER

natka813 [3]

Answer:

Step-by-step explanation:

To be right triangle has to verify the Pythagorean Theorem

hypothenuse² = (side 1 )² + (side 2)²

Since the hypothenuse is the largest of the sides we consider the largest number the hypothenuse and check the relation.

16, 30, 34

34² = 16²+30²; 1156 = 1156 ✅

16, 30, 34 are measurements of a right triangle

8, 14, 16

16² = 8² +14²; 256 = 260 ❌

8, 14, 16 is not a right triangle

10, 12, 16

16² = 10² +12²; 256 = 244 ❌

10, 12, 16 is not a right triangle

5, 12, 13

13² = 12²+5²; 169 = 169 ✅

5, 12, 13 are measurements of a right triangle

8 0

2 years ago

Find the surface area of the rectangular prism ​

Find the surface area of the rectangular prism