find the missing side length

The terms of a mathematical expression are parts of the expression that are connected with addition or subtraction. The factors in a mathematical expression are parts of the expression that are connected with multiplication.  

I don't know what you meant  but I hope this helps.

Answer:

a = 12

Step-by-step explanation:

as C^2 = A^2 + B^2

by Pythagoras theorem

so

A^2 = C^2 - B^2

= 13^2 - 5^2

= 169- 25

144

as 12^2 is equal to 144

hence side a is equal to 12

Answer:

[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]

Answer:

Step-by-step explanation:

The surface area of a rectangular prism is

A=2(xy+xz+yz), where x,y,z are the dimensions, in this case

A=2(8(8)+8(10)+8(10))

A=2(64+80+80)

A=2(224)

A=448in^2

So the minimum amount of wrapping paper is 448in^2

Answer: -2x+9

Step-by-step explanation:

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Answer:

It wasnt letting me answer so I put it in the comments but the answer is -2x+9

Step-by-step explanation:

Brainliest??

Answer:

4/11 i believe

Step-by-step explanation:

Answer: 2/5

Step-by-step explanation: 28/70 ÷ 12/12 = 2/5

The simplest form of the given fraction is 2 / 5

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given is a fraction, 28 / 70, we have to convert it into its simplest form,

28 / 70

= 2(14) / 5(14)

= 2 / 5

Hence, the simplest form of the given fraction is 2 / 5

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Answer:

Volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].

Step-by-step explanation:

Given: The radius of a right circular cone is increasing at a rate of [tex]1.9[/tex] in/s while its height is decreasing at a rate of [tex]2.2[/tex] in/s.

To find: The rate at which volume of the cone changing when the radius is [tex]134[/tex] in. and the height is [tex]136[/tex] in.

Solution:

We have,

[tex]\frac{dr}{dt} =1.9 \:\text{in/s}[/tex], [tex]\frac{dh}{dt}=-2.2\:\text{in/s}[/tex], [tex]r=134 \:\text{in}[/tex], [tex]h=136\:\text{in}[/tex]

Now, let [tex]V[/tex] be the volume of the cone.

So, [tex]V=\frac{1}{3}\pi r^{2}h[/tex]

Differentiate with respect to [tex]t[/tex].

[tex]\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ][/tex]

Now, on substituting the values, we get

[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ][/tex]

[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ][/tex]  

[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ][/tex]

[tex]\frac{dv}{dt} =9916\pi \frac{in^3}{s}[/tex]

Hence, the volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].

Answer:

It will take 23 years for the account to grow to $7000.

Step-by-step explanation:

Simple Interest

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Carly has a bank account with a balance of $3,575.

This means that [tex]P = 3575[/tex]

The account pays simple interest at a rate of 4.15%.

This means that [tex]I = 0.0415[/tex]

How long will it take for the account to grow to $7000?

[tex]T = 7000[/tex]

The interest is:

[tex]T = E + P[/tex]

[tex]E = T - P = 7000 - 3575 = 3425[/tex]

Now we have to find t.

[tex]E = P*I*t[/tex]

[tex]3425 = 3575*0.0415*t[/tex]

[tex]t = \frac{3425}{3575*0.0415}[/tex]

[tex]t = 23.1[/tex]

Rounding to the nearest year, it will take 23 years for the account to grow to $7000.

Answer:

Mean of the numbers is 41

Step-by-step explanation:

1) You add 28 + 40 + 53 +39 +45

2) Divide whatever number by 5 because that is how many numbers there are given

In this case it would  205 divided by 5 which is how I get 41

Answer:

33/36 or 11/12

Step-by-step explanation:

Answer:

The "successful" rolls are 5 and 6. That's two out of six choices, so the probability is 2/6 or 1/3.

Step-by-step explanation:

Hope this helps!!! <3

Answer:

4.8x10

Step-by-step explanation:

Answer:

hduyvhudsnuv uisdhavusdhvu wujwfhuvudf hu cvhfdyu  yf u fe7tg76iufe ygy

Step-by-step expleanation:

tgdwtydttfdtydfdsgfdgfdsvsfvgffgfg fg fg f gf gfg

fg

fg

g

fg

f

Answer:

34.836

Step-by-step explanation:

sin(C)=opp/hyp=16/28=4/7

C= inverse sin = 34.836 deg

The angle of the right-angled triangle using trigonometric ratio is 34.84°.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The diagram shows the right-angled triangle.

The hypotenuse side, h = 28

The perpendicular side, p =16

The trigonometric ratio that relates hypotenuse side and the  perpendicular side is sine θ.

[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]

⇒ [tex]Sine\theta = \frac{16}{28}[/tex]

⇒ [tex]Sine \theta=0.5714[/tex]

⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]

⇒ [tex]\theta = 34.84[/tex]

Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.

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Answer:

1:4

2:8

3:12

4:16

Step-by-step explanation:

Answer:

7n-13

Step-by-step explanation:

Simplify

4n+3(n-5)+2

4n+3n-15+2

Add The Numbers

4n+3n-15+2

4n+3n-13

Combine Like Terms

4n+3n-13

7n-13        Solution 7n-13

Answer:

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.

This means that [tex]\mu = 30, \sigma = 2[/tex]

Sample of 400 batteries. The sampling distribution of is approximately:

So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

Answer:

78.5ft^2

Step-by-step explanation:

calculations done on a calculator

Answer:

78.5

Step-by-step explanation:

4 x 2.5 = 10 ft

4.5 x 2.5 = 11.25

4.5 x 4 = 18

18 + 10 + 11.25 = 39.25

39.25 x 2 = 78.5

Answer:

The answer is 1898.37

if you click the image it will show you how to solve the equation. I hope this helps you.

Answer:

As a decimal : 27.833

As a fraction : 167/6

Step-by-step explanation:

26 + 22/12

=

26/1 + 22/12

=

26/1 + 11/6

=

156/6  + 11/6

156 + 11 / 6

=

167/6

or as a decimal 27.833

Hope this helps!

Answer:

8

Step-by-step explanation:

that's a six tickets for $48 there for F1 tickets we don't know the price of each ticket...divide 48/6

Answer:

a) The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).

b) 48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.

Step-by-step explanation:

a) Construct the 95% CI for the proportion of people that watched Super Bowl.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

75 out of 140 watched the Super Bowl:

This means that [tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 - 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.4531[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 + 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.6183[/tex]

The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).

b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings

48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.

Answer:

it should be the last one

Step-by-step explanation:

Answer:

107

Step-by-step explanation:

f(x)=7x^(2)-5

f(4) means that x=4

f(4)=7*4^(2)-5

    = 7 * 16 -5

    = 112 -5

    = 107

Answer:

29

Step-by-step explanation:

Hope this helps

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Answer:

27

Step-by-step explanation:

We know the missing angle for the triangle on the left is 63. And that is the same angle reflected to the other side. There is a right angle so its 63 + 90 = 157.

180 - 157 = 27

The expression JK||GI implies line JK and GI are parallel lines

The ratio of HK : KI is 3 : 1

A ratio is used to show the relationship between two related quantities

The given parameter is:

HJ : JG = 3 : 1

Given that JK||GI , then it means that:

HJ : JG = HK : KI

This gives

HK : KI = 3 : 1

Hence, the ratio of HK : KI is 3 : 1

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