What is the area of this cross section of the rectangular prism shown?
A 160 in squared
B 96 in squared
C 60 in squared
D 10 in squared

Answer:

46

Step-by-step explanation:

1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2

44+2=46

Answer:

C.

Step-by-step explanation:

The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.

Answer:

the answer is the 3rd one

Answer:

Side GI= 2

Step-by-step explanation:

Photo attached, used SOH CAH TOA method.

Given:

The number is 75897.

To find:

The sum of place value and face value of 5 in the given number.

Solution:

The given number is:

75897

The face value is 5 is always 5.

The number of is 5 on thousands place. So, the place value of 5 is:

[tex]5\times 1000=5000[/tex]

The sum of place value and face value of 5 in the given number is:

[tex]5000+5=5005[/tex]

Therefore, the sum of place value and face value of 5 in the given number is 5005.

Answer:

[tex]\boxed {\boxed {\sf d\approx 4.2}}[/tex]

Step-by-step explanation:

The formula for distance is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Where (x₁, y) and (x₂, y₂) are the points.

We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:

Substitute the values into the formula.

[tex]d= \sqrt{ (-3 - -6)^2+(3-6)^2[/tex]

Solve inside the parentheses.

[tex]d= \sqrt{(3)^2+ (-3)^2[/tex]

Solve the exponents.

[tex]d= \sqrt{9+9[/tex]

Add.

[tex]d= \sqrt18[/tex]

[tex]d= 4.24264069[/tex]

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.

[tex]d \approx 4.2[/tex]

The distance between the two points is apprximately 4.2

Answer:

Final Answer: Statements 1, 2 and 4 are correct.

Step-by-step explanation:

Finding value of y:

2y + 3 = 15 => 2y = 12 => y = 6;

Finding value of x:

6x + 5 = 77 => 6x = 72 => x = 12;

Statement Number 1:

y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?

Yes, 36 is bigger than 24, therefore statement one is correct.

Statement 2:

x = 2y ? => 12 = 2 * 6? => 12 = 12?

Yes, 12 is equal to 12. Statement 2 is correct.

Statement 3:

x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?

No, 14 is not equal to 16. Statement 3 is incorrect.

Statement 4:

y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?

Yes, 10 is bigger than 8. Statement 4 is correct.

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Final Answer: Statements 1, 2 and 4 are correct.

Answer:

[tex]Domain =\{0,4,7,10,13\}[/tex]

[tex]Range = \{-5\}[/tex]

[tex]y = -5[/tex] --- function

Step-by-step explanation:

Given

[tex]\begin{array}{cccccc}x & {0} & {4} & {7} & {10} & {13} \ \\ y & {-5} & {-5} & {-5} & {-5} & {-5} \ \end{array}[/tex]

Solving (a): The domain

The x values represent the domain.

Hence, the domain is:

[tex]Domain =\{0,4,7,10,13\}[/tex]

Solving (b): The range

The y values represent the range

Hence, the range is:

[tex]Range = \{-5\}[/tex]

Solving (c): The function

By observation, we can see that for all values of x the value of y remains unchanged (-5)

Hence, the function is:

[tex]y = -5[/tex]

Answer:

Step-by-step explanation:

m^2(m^2+9)+20

Answer:

$86.36

Step-by-step explanation:

Tax: 7%, or 0.07

Tip: 20%, or 0.2

Substitute the values:

Tip: 68 * 0.07 = 4.76

Tip: 68 * 0.2 = 13.6

Just the meal cost: 1 * 68 = 68

Add these all together

4.76 + 13.6 + 68 = 86.36

Thus, the total cost of the meal would be $86.36

the first step is to convert the diameter into a radius measure by using the formula d=2r

when we solve the formula the radius is calculated to be 1.5

use the surface area formula above and your height and radius measurement to find out the area of sheet metal you would need.

2pi(1.5)^2+2pi(1.5)(5)

using 3.14 for pi this equates to 61.23in^2

Answer: 19°

Step-by-step explanation: 90+71= 161

180-161= 19

(correct me if i’m wrong):)

The  difference between two positive numbers is 7 and the difference between these  cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,

So,

Let the number be n and m

A = n × m = nm

B = n² + m² = (n + m)²

Now

n³ - m³ = 805

(n - m) (n² + m² + nm) = 805

Since difference is 7

7 × n² + m² + nm = 805

n² + m² + nm = 805/7

n² + m² + nm = 115

(n² + n) + (m² + m) = 115

A + B = 115

Now

On squaring the first eq.

(n - m)² = (7)²

(n - m)² = 49

B - 2A = 49

Now

A + B - B + 2A = 115 - 49

A + 2A = 66

3A = 66

A = 66/3

A = 22

By using 2

B - 2(22) = 49

B - 44 = 49

B = 49 + 44

B = 93

A - B = 22 - 93 = -71

[tex]\bold{ A-B=-71  }[/tex] 

Answer:

y= -1/4x+2

Step-by-step explanation:

y=mx+b is the slope intercept form.

We first must isolate y by adding 1/2x on both sides.

-2y=-4+1/2x

next we multiple by -1/2 to get rid of the -2

y=2-1/4x

y=-1/4x+2

Answer:

1- 22.5°

2- 45°

5- 112.5°

Step-by-step explanation:

[tex]180 \div 8 = 22.5[/tex]

[tex]22.5 \times 5 = 112.5[/tex]

[tex]22.5 \times 2 = 45[/tex]

[tex]22.5 \times 1 = 22.5[/tex]

Answer:

You forgot to send the question. Send the full question when you can

Answer:

x= -4,-14

Step-by-step explanation:

Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.

Answer:

C

Step-by-step explanation:

First find the equation of the circle

the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know

the distance between the center (0, 0) and the point (3,5) is the radius

distance formula d² = (x2-x1)² +(y2-y1)²  where (x1=0,y1=0) and (x2=3, y2=5)

d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²

(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle

Second check if any of the points are on the circle by substituting x and y with de given coordinates.

A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false

B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false

C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true

D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false

Answer:

i guess your new grade would be 88%. If you past 100%, you might pass for that grade. Even if you get a 90%, you'll still be able to pass.

Step-by-step explanation:

Answer:

2(√17b³ )c⁵

Step-by-step explanation:

We are to simplify the expression given below

√68b³c¹⁰

Simplifying 68

= √(17 × 4)b³c¹⁰

Hence

= 2√17b³c¹⁰

= 2 √17b³ × √c¹⁰

= 2 √17b³ × c¹⁰/²

= 2(√17b³ )c⁵

Answer:

∠ DBC = 87.5°

Step-by-step explanation:

The inscribed angle DBC is half the measure of its intercepted arc, then

∠ DBC = [tex]\frac{1}{2}[/tex] CD = 0.5 × 175° = 87.5°

Answer:

53 mins

Step-by-step explanation:

Answer:

C is equivalent

Step-by-step explanation:

7/12*4/5

7*4/12*5

28/60

7/15

7/12/5/4

7/12*4/5

7*4/12*5

28/60

7/15

Answer:

She ate 2 pounds

Step-by-step explanation:

(how do you eat 2 pounds of strawberries like what)

Answer:

Step-by-step explanation:

The square length of hypotenus (the side lenght that sees 90 degrees) is equal to sum of square length of side lengths

Let x represent the missing side

6^2 = 4^2 + x^2

36 = 16 + x^2 subtract 16 from both sides

20 = x^2 and x = 2[tex]\sqrt{5}[/tex]

Answer:

96

Step-by-step explanation:

To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.

Step 1:

1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.

Step 2:

2nd digit = 4 choices.

Step 3:

3rd digit = 3 choices

Step 4:

4th digit = 2 choices

Step 5:

5th digit = 1 choice .

So the number of different 5 digit number is 4*4*3*2*1 = 96

Answer:

1/32

Step-by-step explanation:

1/4 divided by 8

1/4 x 1/8

=1/32