My exam, does any one know the answer

Answer:

Step-by-step explanation:

45-45-90 triangles always have the same relationships

leg = x,    hypotenuse = x√2

If you have the leg length multiply it by √2 to get the hypotenuse

hypotenuse = x,   Leg = x/√2

If you have the hypotenuse length divide it by √2 to get the leg

-----------------------

7)

leg  = 3√2 / 2

hyp =  3√2 / 2 *  √2 = 3

8)

leg = 5√2

hyp = 5√2 *√2 = 10

9)

hyp = 2

leg = 2 / √2 = √2

10)

leg = 13√2 / 2

hyp = 13√2 / 2 * √2  = 13

11)

leg = 3√3

hyp = 3√3 * √2 = 3√6

12)

leg = 12

hyp = 12√2

[tex](a + c) ^{2} = t \\ c = \sqrt{t } - a \\ c = - \sqrt{t} - a[/tex]

[tex]p = 3(y + 2x) ^{2} \\ x = \frac{ \sqrt{3p} }{6} - \frac{y}{2} \\ x = - \frac{ \sqrt{3p} }{6} - \frac{y}{2} [/tex]

Answer:

y = 87º

Step-by-step explanation:

Vertical angles are congruent

y = 87º

Answer:

87°

Step-by-step explanation:

y is vertical to 87° meaning that the two are congruent which makes them the same

The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.

The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.

The data set is;

1,6,8,8,8

Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.

If the outlier is removed mean, range, and median will changes.

Hence options A, B and C are correct.

To learn more about mean refer:

https://brainly.com/question/13451489

#SPJ2

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

Answer:

HG = EF

GF = HE

Step-by-step explanation:

Answer:

Step-by-step explanation:

28°

Answer:

11x -8y = -9

Step-by-step explanation:

8x-4y=-4

-3x+4y=5

Subtract the second equation from the first

8x-4y=-4

-(-3x+4y=5)

-----------------------------

Distribute the minus sign

  8x-4y=-4

+(3x-4y=-5)

-----------------------------

11x -8y = -9

Answer:

I think 42.5

Step-by-step explanation:

About 89% sure

Answer:

D

Step-by-step explanation:

Answer:

D

hope this helps

Answer:

no

Step-by-step explanation:

y=mx+b

hope this helps

Answer:

Great Britain we’re colonizers

Step-by-step explanation:

Answer:

C) 0.08

Step-by-step explanation:

Answer:

D. Fail to reject the null hypothesis, since 0.15 > 0.05.

Step-by-step explanation:

P-value and decision regarding null hypothesis:

If the p-value is larger than the significance level, we do not the null hypothesis.

Otherwise, we reject the null hypothesis.

In this question:

The test statistic is χ2=3.79, with a p-value of 0.15.

The level of significance is 0.05.

Since 0.15 > 0.05, we fail to reject the null hypothesis, and the correct answer is given by option D.

Answer: 110 feet per second

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

[tex]S1=\frac{45*5280}{3600}=66[/tex]

[tex]S2=\frac{60*5280}{3600}=88[/tex]

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]

[tex]h=\sqrt{12100}=110[/tex]

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:

[tex]H= \sqrt{12100}=110[/tex]

In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.

[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]

So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:

[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]

See more about distance at brainly.com/question/989117

Answer:40 centimeter

Step-by-step explanation:

It’s hard to explain but I also had this question

The length of PN in the figure is 40 cm

From the complete question, we have:

PM = 24 cm

cos P = 0.60

Shape: Right triangle at M

The length PN is calculated using the following cosine ratio

cos P = PM/PN

Substitute known values

0.60 = 24/PN

Make PN the subject

PN = 24/0.60

Divide

PN = 40

Hence, the length of PN is 40 cm

Read more about right triangles at:

https://brainly.com/question/23814470

Answer:

the 1 one and the 4 one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

y = -2x+7

Step-by-step explanation:

2x+y=7

Subtract 2x from each side

2x+y -2x=-2x+7

y = -2x+7

Answer:

Quantity of juice = 300 milliliters

Step-by-step explanation:

Given the following data;

Total quantity of juice = 3 liters

Number of students = 10 students

To find the quantity of orange juice each student can get;

First of all, we would have to convert the total quantity (volume) of juice into a unit that's divisible by 10 i.e liters to milliliters.

Conversion:

1 liter = 1000 milliliters

3 liters = 3 * 1000 = 3000 milliliters

Next, we determine the quantity each student get;

Quantity of juice = 3000/10

Quantity of juice = 300 milliliters

Answer:

Step-by-step explanation:

A) 2( 4×5 +6×5+6×4)=148 cm²

B) 2( 4x6 + 13 ×6 + 13×4) = 308 in²

Answer:

9.04

Step-by-step explanation:

tan 37 = x/12

0.7536 x 12= x

x = 9.04

Answer:

Its the rectangle

Step-by-step explanation:

function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

Answer:

6x + 27y = -6

Step-by-step explanation:

i looked it up sooo sorry if its wrong lol

Answer:

It depends on the equation.

If the bases are equal and the variables are only in the exponents, set the exponents equal.

If there are variables in the exponents, but you cannot set the bases equal, then use logarithms.

Example 1:

[tex] 4^{2x + 5} = 4^9 [/tex]

Here you have the same base on both sides. The variables are in the exponents. Set the exponents equal and solve for x.

2x + 5 = 9

2x = 4

x = 2

Example 2:

[tex] 3^{2x} = 9^{6} [/tex]

The bases are different, but you can make the bases equal using laws of exponents. Remember that 9 = 3^2.

[tex] 3^{2x} = (3^2)^{6} [/tex]

[tex] 3^{2x} = 3^{12} [/tex]

Now you have equal bases, so the exponents must be equal.

2x = 12

x = 6

Example 3:

[tex] 10^{x + 2} = 9 [/tex]

Here you can't make the bases equal, so you take the log of both sides and use laws of logs.

[tex] \log(10^{x + 2}) = \log 3^2 [/tex]

[tex] (x + 2) \log 10 = 2 \log 3 [/tex]

Recall that: [tex] \log 10 = 1 [/tex]

[tex] x + 2 = 2 \log 3 [/tex]

[tex] x = 2 \log 3 - 2 [/tex]

Answer:

g(x)= ((x+4)^2) -2

Step-by-step explanation:

...............

Answer:

Step-by-step explanation:

To Find :

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% antifreeze.

Solution :

Let, x gallons of 80​% antifreeze solution is required :

So,

[tex](x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500[/tex]

Therefore, 500 gallons of 80% antifreeze solution is required.

Answer:

B. 17.8

Step-by-step explanation:

I calculated it logically