Which expression can be used to find the surface area of the following rectangular prism?

Answer:

[tex]p =2.5[/tex]

[tex]q = 0.5[/tex]

Step-by-step explanation:

Given

[tex]2x + 3y = 7[/tex]

[tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]

Required

Find p and q

To do this, we make direct comparison between the given expressions.

[tex]2x + 3y = 7[/tex] and [tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]

This implies that:

[tex](p - q)x = 2x[/tex]

[tex](p+q)y = 3y[/tex]

[tex]3(p + q) - 2 = 7[/tex]

So, we have:

[tex]p - q = 2[/tex] --- (1)

[tex]p+q =3[/tex] -- (2)

[tex]3(p + q) - 2 = 7[/tex] --- (3)

If [tex](1)\ and\ (2)[/tex] are true, then [tex](3)\ must[/tex] be true.

So, we only solve [tex](1)\ and\ (2)[/tex]

Add (1) and (2) to eliminate q

[tex]p+p-q+q=2+3[/tex]

[tex]2p=5[/tex]

Solve for p

[tex]p = 5/2[/tex]

[tex]p =2.5[/tex]

Substitute [tex]p =2.5[/tex] in (2)

[tex]p+q =3[/tex]

[tex]q = 3 - p[/tex]

[tex]q = 3 - 2.5[/tex]

[tex]q = 0.5[/tex]

Answer:

785

Step-by-step explanation:

flowers needed to surround the garden = circumference of the garden / space

circumference of a circle = 2nr

n = 3.14

r = radius

The radius is in ft and the space is in inches. i would convert the ft to inches to aid comparability

1ft = 12 inches

125 x 3 = 375

2 x 3.14 x 375 = 2355

flowers needed = 2355 / 3 = 785

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

Answer:

(4^2*x7)(x^10.5)

Answer:

Step-by-step explanation:

I really don’t know but I think you have to find the hypothenuse first then you can do the rest

Answer:

Step-by-step explanation:

"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.

Answer:

The answer is given below:

Step-by-step explanation:

The computation of the dimension of the pennant is shown below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

where

x represents the base of the traingle

h represent the height that should be (5x - 10)

Now according to the above formula

420 =  1 ÷ 2 × x × (5x - 10)

840 = x(5x - 10)

840 = 5x^2 - 10x

5x^2 - 10x - 840 = 0

5(x^2 - 2x - 168) = 0

x^2 - 2x - 168 = 0

x^ - 14x + 12x - 168

x (x - 14) + 12(x - 14)

(x + 12) (x - 14)

So, here x = 14

Now height would be

= 5(14) - 10

= 60 inches

Answer:

53°

Step-by-step explanation:

Let m∠BCA = 'x'

Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.

Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.

90 - 37 = 53

Hence, the answer is 53°

Answer:

18

Step-by-step explanation:

OOPS I MEANT 18 I WASNT PAYING ATTENTION LOL

Answer:

b. 22

Step-by-step explanation:

7 x 3.14 = 21.95

(  22 because you cannot buy half of one so you have to round it)

21.95 - 22

Answer: 30

Step-by-step explanation:

3(0.3m + 6) + m =75

(0.3 x 3 = 0.9)

(6 x 3 = 18)

0.9m + 18 + m = 75

0.9m + m + 18 = 75

(m=1)

1.9m + 18 = 75

1.9m = 75 - 18

1.9m = 57

m = 57÷ 1.9

m = 30

Answer:

nooooo

Step-by-step explanation:

an equivalent ratio to 6:4 would be 3:2 and an equivalent ratio for 4:3 would be 8:6

hope this helps! :)

The ratios 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.

A proportion is a statement that two ratios are equal. It compares two ratios and states that they are equivalent.

No, the ratios of 6:4 and 4:3 are not similar. We must reduce each ratio to its simplest form in order to determine whether two ratios are equivalent (by dividing both the numerator and denominator by their greatest common factor).

For 6:4, the greatest common factor is 2, so we can simplify to:

6:4 = 3:2

For 4:3, there are no common factors other than 1, so it is already in its simplest form.

Since 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.

To know more about ratios and proportions follow

https://brainly.com/question/29038325

#SPJ2

Answer:

b = 77

Step-by-step explanation:

a² + b² = c²

36² + b² = 85²

1296 + b² = 7225

b² = 7225 - 1296

b² = 5929

[tex]\sqrt{b^2} =\sqrt{5929}[/tex]

b = 77

Answer:

I think it is C 15.87%                      

Step-by-step explanation:

Answer:

4.4cm

Step-by-step explanation:

The area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.

Hence the volume of the cylinder would be [tex]\pi r^{2}h[/tex], where r is the radius and h is the height of the cylinder.

We can set up an equation V = [tex]\pi r^{2}h[/tex]

If we plug in the values we know, V=480, h=8, then we get [tex]480=8\pi r^{2}[/tex]

If we divide both sides be 8pi and square root both sides after that, we can find the value of r.

[tex]r = \sqrt{\frac{480}{8\pi } } =4.37019[/tex]

To the nearest tenth, the radius would round up, yielding 4.4cm

Answer:

An equilateral triangle may also be called a "regular" triangle. (A "regular" polygon has all equal sides and all equal angles.)An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral.

Step-by-step explanation:

hope this helped and can u plz mark me brainlest

Answer:

The answer is B

Step-by-step explanation:

IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.

it's not A or D

Step-by-step explanation:

math I guessssssss

Answer:

D

Step-by-step explanation:q

If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.

Since the side opposite is 12, the hypotenuse is easily found.

1/2 = opposite / hypotenuse

1/2 = 12 / hypotenuse                     Cross multiply

hypotenuse = 2 * 12

hypotenuse = 24

Now use the Pythagorean Theorem to get the third side.

c = 24

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576                                  Subtract 144 from both sides.

b^2 = 576 - 144

b^2 = 432

Now  you have to factor 432 down to its primes

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.

sqrt(b^2) = sqrt(432)

b = 4 * 3sqrt(sqrt(3))

b = 12 sqrt(3)

Answer

r = 12*sqrt(3)

t = 24

The answer is D

Answer:

C

Step-by-step explanation:

b and c are wrong cuz we can see that some dogs weighed 20 pounds

D is wrong cuz the iqr is not affected by extreme values and is focused on the 25th and 75th percentile of the values

Answer:

[tex]Net\ Worth=11310[/tex]

Step-by-step explanation:

From the question we are told that:

Car worth [tex]C=5900\$[/tex]

Car Loan[tex]L=2800\$[/tex]

Bank account [tex]B= 1600\%[/tex]

Savings account [tex]S=5210\&[/tex]

Credit card [tex]CC=1400\%[/tex]

Generally Net worth is the value of the assets a person or corporation owns, minus the liabilities they owe.

Therefore

[tex]Net\ Worth=Asset-Liability\\\\Net\ Worth=Car worth+Bank account+Savings account +Credit card-Car Loan\\\\Net\ Worth=5900+1600+5210+1400-2800[/tex]

[tex]Net\ Worth=11310[/tex]

Answer:

6tvuyrfrd

Step-by-step explanation:

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Acute because all angles are less than 90

Answer:

A)Isosceles Triangle

B)Scalene Triangle

C)Equilateral Triangle

D)Isosceles Triangle

E)Scalene Triangle

F)Isosceles Triangle

Step-by-step explanation:

Helped me out with the triangles on the bottom but remember

all sides diffrent= Scalene Triangle

All sides the same = Equilateral Triangle

Only 2 sides the same = Isosceles Triangle

Answer:

C) (7.1)^13

Step-by-step explanation:

When you multiply numbers with the same bases but different exponents, the base stays the same, but the exponents get added:

a^x*a^y=a^(x+y)

(7.1)^6*(7.1)^7=(7.1)^(6+7)=(7.1)^13

Therefore, the correct answer is C) (7.1)^13

Answer:

C

Step-by-step explanation:

When multiplying numbers with exponents, you always add the exponents.

7.1^6+7

7.1^13

Hence, C

Hope it helps!

Answer:

B. 1.32 h : 1 point 3 2 h

Step-by-step explanation:

Year 1 = h hits

Year 2 = 132 % of the hits it received the first year

Number of hits the company's website received the 2nd year = 132% of h

= 132/100 × h

= 1.32 × h

= 1.32h

A. 1 + 0.32h : 1 plus 0 point 3 2 h,

B. 1.32 h : 1 point 3 2 h,

C. ( 1 + 1.32 ) h : open paren 1 plus 1 point 3 2 close paren times h,

D. h + 1.32 h : h plus 1 point 3 2 h,

Answer:

if this is factoring i wanna say

x= -7

x= 8

but i could be wrong this is a trick 1

Step-by-step explanation: