A rectangular prism with a square base has a volume of 980 inches. If the height of this rectangular prism is 5 inches, what are the dimensions of its base?

Answer:

Step-by-step explanation:

[tex](13x - 3) + (6x + 1) + (68) = 180 \\ 19x + 66 = 180 \\ 19x = 180 - 66 \\ x = \frac{114}{19} \\ x = 6 \\ \\ \\ d = 13x - 3 \\ d = 13(6) - 3 \\ d = 75 \\ \\ e = 6x + 1 \\ e = 6(6) + 1 \\ e = 37 \\ \\ f = 68 \\ \\ check \: \: \: 75 + 37 + 68 = 180[/tex]

I hope that is useful for you :)

Answer:

42.3°

Step-by-step explanation:

Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.

now plug it in, since there is no angle then we plug it in as [tex]tan^{-1}=\frac{10}{11}[/tex]

in the calculator, (be sure to be in degree mode)

x=  42.3°

(does that make sense)

Answer:

0 and 8.

Step-by-step explanation:

n^2+8n=0

n(-n+8)=0

-n=-8 or n=8 and n=0.

Answer:

The solution is b

Step-by-step explanation:

3× -2y-9

4x +3y =22

Answer:

4

Step-by-step explanation:

Mr Gonzalez had 10 pound. Then Mr. Gonzalez gave away 6 pounds. Now Mr. Gonzalez has 4 pounds (10 pounds-6 pounds)

Step-by-step explanation:

Area (A) = (1/2)b×h = (1/2)(10)(6) = 30

Perimeter = 8+ 8 + 10 = 26

Answer:

Since the leading coefficient is negative and the exponent is to a degree of 4...

The graph will be down on both ends.

Answer:

Since the calculated value of t =4.629 falls in the critical region t> 2.355 we  reject the null hypothesis and  conclude that method 1 was more successful than method 2 at the 1% level.

Step-by-step explanation:

Applying two sample t test as both methods are independent

The null and alternate hypotheses are

H0: u1= u2   against the claim Ha: u1> u2

The significance level is 0.01 and the critical region is  t > t∝( n-1)

The degrees of freedom is calculated using the formula

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

This formula is used when the the variances are unequal.

So as we do not know anything about variances we assume they are unequal.

The calculated degrees of freedom is 132

The critical region is t >  2.355 for one tailed test.

The test statistic is

t= x1`- x2`/ √s1²/n1 + s2²/n2

t= 85-83/ √3²/75+ 2²/60

t= 2/ 0.432

t= 4.629

Since the calculated value of t =4.629 falls in the critical region t> 2.355 we  reject the null hypothesis and  conclude that method 1 was more successful than method 2 at the 1% level.

Answer:

y=-3x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-3(x-(-1))

y+5=-3(x+1)

y=-3x-3-5

y=-3x-8

Answer:

8/5

Step-by-step explanation:

Slope of the line = (-1-4)/(2-0)= -5/2

Equation of the line :

=> y - y1 = m(x - x1)

=> y - 0 = (-5/2)(x - 4)

=> 2(y - 0) = - 5x + 20

=> 2y + 5x = 20

To make the RHS 16, divide both sides by 20 and multiply by 16:

=> (2y/20)*16 + (5x/20)*16 = (20/20)*16

=> 8y/5 + 4x = 16

compare the equation with ax + by = 16 for y, b = 8/5

Answer:

50 rabbits

Step-by-step explanation:

?/2  =    400/100

multiply 2 by 400

2 times 400 = 800

now, divide it by 100

800/100 = 8

every two months = 8 rabits

12 months in a year

12/ 2 equals 6

6 times 8 = 48

+the two begining rabbits

= 50 total rabbits

Answer:

Answer to 6/9-2/3= 0; Lowest common denominator = 3;

Step-by-step explanation:

You can only reduce 6/9 to 2/3, you cant reduce the fraction any further.

Answer:

Step-by-step explanation:

There should be a video to help you probably says something like hint? then click there

Answer:

They have videos you can watch

Step-by-step explanation:

those videos will help explain them better and show you exactly how to do that problem

Answer:

y=-5/6x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-7))/(-6-6)

m=(3+7)/-12

m=10/-12

simplify

m=-5/6

y-y1=m(x-x1)

y-(-7)=-5/6(x-6)

y+7=-5/6x+30/6

y+7=-5/6x+5

y=-5/6x+5-7

y=-5/6x-2

Answer:

91 ways. So the answer to the problem's question is THIS : in 15*91 = 1365 ways.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

C becasue 1 week = 15 mulitipication facts memorized

Answer:

378873

Step-by-step explanation:

Using the relation :

y = 180000(1.07)^x

x = Number of days since May 6 ;

y = Number of mosquitoes after x days

x = May 17- May 6 = 11 days

Therefore, number of mosquitoes inhabiting the city on May 17 will be :

y = 180000(1.07)^11

y = 180000 * 2.1048519522998348950643

y = 378873.351413970281111574

y = 378873 (nearest whole number).

Answer:

5.4 cm^2

Step-by-step explanation:

Given,

Height ( h ) = 2 cm

Base ( b ) = 5.4 cm

To find : Area ( triangle ) = ?

Formula : -

Area ( triangle ) = bh / 2

Area ( triangle )

= 5.4 x 2 / 2

= 5.4 cm^2

Answer:

1350

Step-by-step explanation:

if she spilt her pay EQUALLY between 3 things, and she added 450 to her savings, everything else would be 450 too. so 450 x 3 = 1350

Step-by-step explanation:

50-20=30

30÷2=15

therefore the sons age is 15

The volume of a rectangular prism is found by multiplying its length, width, and height.

[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=l\times w\times h[/tex]

Therefore, the volume of a rectangular prism is 216m³

Another formula can be used if the area of the base (B) is given.

[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=B\times h[/tex]

Therefore, the volume of a rectangular prism is 216m³

Answer:

Angle L = 44

Angle M = 93

Angle O = 88

Angle P =  74

Step-by-step explanation:

First find your x, all angles will equal 360 when put together

360=61+x+(2x+5)+(x+30)+(2x)

360 = 61 + 5 +30 + x + 2x + x + 2x

360 - 96 = 6x

264 = 6x

264 / 6 = x

44 = x

Now place 44 in place of all x

Angle L:

x = 44

Angle M

(2x+5) = 2*44 + 5 = 93

Angle O

2x = 2*44 = 88

Angle P

(x+30) = 44 + 30 = 74

Answer:

p-value = 0,000755

We reject H₀. We can support that Americans who are dissatisfied with education in kindergarten throug grade 12 differs significantly from 50%

Step-by-step explanation:

Sample proportion :   p₁  =  0,55

Sample size      n  =  1000

q₁ =  1  -  p₁         q₁   =  1  -  0,55    q₁  = 0,45

Hypothesis Test:

Null Hypothesis                                  H₀          p₁   =  0,5      ( 50 % )

Alternative Hypothesis                     Hₐ           p₁  ≠  0,5

Alternative hypothesis indicates that we have to develop a two-tail test

as   n  =  1000

p₁*n  = 0,55 * 1000  =  550      q₁*n  =  0,45*1000 = 450

Both products are bigger than 5. We can use the approximation of binomial distribution to normal distribution.

Significance level  α  =  5%    α  = 0,05  and α/2  =  0,025

z(s)  =  ( p₁  - 0,5 ) / √p₁*q₁/1000

z(s)  =   0,05 * 31,62 / 0,4974

z(s) = 3,1785

From z-table we find  p-value = 0,000755

Therefore    p-value <  0,025

We are in the rejection region, we reject H₀

Answer:

24xy - 32y

Step-by-step explanation:

4y × 6x =24xy

4y × -8 = -32y

brainliest plz? i got 1000+ points deleted

Answer:

4y(6x-8)

[tex]4y \times (6x - 8)[/tex]

[tex]4y \times - 6x + 8[/tex]

[tex] - 24xy + 8[/tex]

[tex] - 32xy[/tex]

Answer