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Answer:

x = 13.77

Step-by-step explanation:

cos 37° = 11/x

0.7986 = 11/x

0.7986x = 11

x = 11/0.7986

x = 13.77

The value of the hypotenuse x will be 14.37.

Here in the triangle, it is given that

The angle between base and hypotenuse = [tex]37^0[/tex]

The base =11

So from the property

[tex]COS\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]Cos37=\dfrac{11}{x}[/tex]

[tex]x=\dfrac{11}{0.7654}[/tex]

[tex]x=14.37[/tex]

Thus the value of the hypotenuse x will be 14.37.

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Answer:

80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

26+58=84

Rounded=80

Answer:

l=-5,-2

m=-3,-3

n=-6,-6

Step-by-step explanation:

Answer:

The image point of (-5, 0) after a translation left 2 units and down 1 unit would be the point (-7, -1).

Step-by-step explanation:

The original point is located at (-5, 0), a translation of two units to the left would be an increase of -2 in the x-axis, and a translation of down 1 unit would be an increase of -1 in the y-axis. Using the translation, you can infer that the new coordinate would be (-5 - 2, 0 - 1) or (-7, -1).

Answer:

320 customers

Step-by-step explanation:

Well the chart given is a huge ratio since its a sample.

you would have this ratio

41:25:43:16

You can add them all up since then you would know how much people have actually be chosen for the survey.

You’d get 125. So 125 is the sample out of 2500 so we can divide to see how much of these “125” samples are in 2500.

You’d get 20.

So there are 20 “125” samples and we’re only focusing on drama which is 16 out of 125. 20*16 would be 320.

Given:

The height of 44 students (in centimeter) are presented in the given frequency distribution.

To find:

The median of the given data.

Solution:

The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.

The complete frequency distribution table is shown below:

Height              Frequency           L                            <cf

182 - 188                  1                  181.5 - 188.5            44

175 - 181                   3                 174.5 - 181.5             43

168 - 174                  6                 167.5 - 174.5            40

161 - 167                 15               160.5 - 167.5            34   Median class

154 - 160                 12                153.5 - 160.5           19

147 - 153                   4                146.5 - 153.5             7

140 - 146                   3                139.5 - 146.5             3

We have, [tex]n=44[/tex].

[tex]\dfrac{n}{2}=\dfrac{44}{2}[/tex]

[tex]\dfrac{n}{2}=22[/tex]

The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.

Formula for median:

[tex]Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h[/tex]

Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.

Now, [tex]l=160.5,f=15,cf=19,h=7[/tex].

[tex]Median=160.5+\dfrac{22-19}{15}\times 7[/tex]

[tex]Median=160.5+\dfrac{3}{15}\times 7[/tex]

[tex]Median=160.5+1.4[/tex]

[tex]Median=161.9[/tex]

Therefore, the median of the given data table is 161.9.

Answer:

$83.46

Step-by-step explanation:

24 + 54 =78

78 × 7% = 5.46

78 + 5.46 = $83.46

Answer:

a) Line M

b)Line M

c)y=1/2x+2

Step-by-step explanation:

a) Line M has a greater y-intercept since its y-intercept is at (0,2) while Line N's y-intercept is at (0,1)

b) Line M has a greater slope since its line is steeper

c) Use the formula y=mx+b

Use the points ( 0,1) and (-4,-1)

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

m= (-1-1)/(-4-0)

m=-2/-4

m=1/2

substitute

(0)=1/2(-4)+b

2=b(y-intercept)

y=1/2x+2

Answer:

Red line has higher intercept and slope.

The equation for the line: y= 0.5x

Step-by-step explanation:

Brainliest can only be awarded when two people have answered the question.

D is correct. you’re welcome.

Answer:

(-1,-3)

Step-by-step explanation:

Answer:

y = a(x – h)2 + k,

Step-by-step explanation:

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k). This makes sense, if you think about it.

Answer:

each student gets 11 pencils

Step-by-step explanation: I searched it up

Answer:

first one is 1/2

the next one is 1/2

the last one is 1/4

Step-by-step explanation:

i just did it

The probability of A will be P(A) = 1/2. The probability of B will be P(B) = 1/2. The probability of A and B will be P(A and B) =  1/4

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Event A: Rolling a number less than 4 on a number cube.

Event B: Flipping heads on a coin toss

We need to find the probability of A, the probability of B, and the probability of both A and B.

The probability of A will be

P(A) = 1/2

The probability of B will be

P(B) = 1/2

The probability of A and B will be

P(A and B) = 1/2 x 1/2

P(A and B) =  1/4

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Answer: -2

Step-by-step explanation: add all of the answers together to get -18. Then, divide by the total amount of numbers, 9 numbers in total. -18/9=-2

Answer:

2.111...

Step-by-step explanation: add the numbers altogether and divide by how many number you added

Answer:

213 sandwiches

534 soft drinks

Step-by-step explanation:

system of equations, if you want better explanation, hmu in the comments.

Answer:

(140 × $5) + (255 × $1)

Therefore, the money was collected is $ [tex]955[/tex].

What is an expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Here given that,

Keiko’s class collected money to donate to charity. When Keiko counted the money, there were [tex]140[/tex] five-dollar bills, and [tex]255vvv[/tex] one-dollar bills.

So, it is of the form:-

[tex](140[/tex] ×[tex]5)+(255[/tex] ×[tex]1)[/tex]

[tex]=700+255\\\\[/tex]

[tex]=955[/tex]$

Hence, the money was collected is $ [tex]955[/tex].

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Answer:

In simplified form, sin D is;

4/5

Step-by-step explanation:

The given figure and dimension parameters in the question are;

Triangle ΔDEF is a right triangle

The length of leg [tex]\overline{EF}[/tex] which is opposite side to the reference angle = 20

The length of segment [tex]\overline{ED}[/tex] which is the hypotenuse side of the right triangle ΔDEF = 25

The length of segment [tex]\overline{DF}[/tex] which is adjacent side to the reference angle = 15

By trigonometric ratios, we have;

[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

Therefore, we have;

[tex]sin\angle D = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{20}{25} = \dfrac{4}{5}[/tex]

∴ In simplified form, sin(D) = 4/5.

Answer:

B.  Lower latitudes receive more solar energy than higher latitudes.

i know i was late srry

Answer:

458435464546484845kdnh

Answer:

C. y+3=−7/5(x+2)

Step-by-step explanation:

Line is passing through the points (-2, -3) and (-7, 4).

Slope of line = (-3 - 4)/[-2-(-7)]= (-7)/(-2+7) = - 7/5

Equation of line in the point-slope form is given as with point (-2, -3).

y - (-3) = - 7/5[x - (-2)]

y + 3 = - 7/5(x +2)

Answer:

60 cm^2

Step-by-step explanation:

I did it hope it helps

Answer: 60 cm²

Step-by-step explanation:

OUTLINE:

1. Find the area of triangles

2. Find the area of rectangles

SOLVE:

#1 Area of Triangles

Formula: a=(1/2)bh

a=area

b=base

h=height

b=6 cm

h=4 cm

a=(1/2)bh

a=(1/2)(6)(4)

a=12 cm²

There are 2 triangles ⇒ 12×2=24 cm²

#2 Area of Rectangles

Formula: a=bh

b=base

h=height

b=6 cm

h=2 cm

a=bh=6×2=12 cm²

There are 3 rectangles ⇒ 12×3=36 cm²

Find the total surface area: 36+24=60 cm²

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Answer:

It is 3

Step-by-step explanation:

6*5= 30

30/10= 3

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Answer:

The significance test that would be used to investigate whether there is convincing evidence at 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream is option C;

C. A linear regression t-test for slope

Step-by-step explanation:

The linear regression t-test for slope is a test for determining the existence of a statistically significant linear relationship between two variables, a independent variable, X and an dependent variable Y in the following form;

Y = B₀ + B₁·X

The test is used to test the regression line slope where we have;

B₀ = The constant

B₁ = The slope also known as the regression coefficient

The given information tested in the question is if an increase in the peaches in the ice cream is associated with an increase in the density of the ice cream, therefore, the test to investigate the relationship between the rate of both variables is the linear regression t-test for slope.

Therefore, we have

Y = B₀ + B₁·X

Where;

X = The percentage of peaches in the ice cream

Y = The density of the ice cream

Answer:

13

Step-by-step explanation:

Number of students that attended more than play = percentage of students that attended more than play x total number of students

5.5% x 232

0.055 x 232 = 12.76 students

to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Since the first term is 7 which is greater than 5, 1 would be added to it.

This gives 13

Answer:

5832 mosquitoes

Step-by-step explanation:

As we know

[tex]A = A_0 * e^{kt}\\[/tex]

Where A is the population after t days

A0 is the initial population

k is rate constant and

t is the time in days

Substituting the given values we get

[tex]1900 = 1000 * e^{1 * k}\\1.9 = e^{1 * k}\\k = 0.587[/tex]

Size of colony after 4 days

[tex]A = 1000 * e^ {(0.587*4)}\\A = 5832[/tex]mosquitoes

Answer:

(d). 56°

Step-by-step explanation:

cos x° = [tex]\frac{5}{9}[/tex]

x° = [tex]cos^{-1}[/tex] [tex]\frac{5}{9}[/tex]

x° ≈ 56.25° ≈ 56°

Answer:

the last one

Step-by-step explanation:

Answer:

m<b = 41

Step-by-step explanation:

<b = 41 because of vertical angle thm

Answer:  A. inverse variation; xy = 20

ANSWER

Step-by-step explanation:  Brainly

B) xy=20

Inverse because it is of the form y=k/x, intuitively you can see that as x increases y decreases, hence "inverse variation".

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

Answer:

Option B is correct

Inverse variation , xy = 20

Step-by-step explanation:

Inverse variation states:

If  

then the equation is in the form of:

or

xy = k            ....[1]

As per the statement:

Given the data:

x : 2 4 8 12

y : 10 5 5/2 5/3

Let any value of x and y to find k:

x = 4 and y = 5

Substitute in [1] we have;

⇒20 = k

or

k = 20

then we get;

xy = 20

Check:

Substitute x = 12  and y = 5/3

⇒ true.

Therefore, the the data in the table represent a inverse variation and an equation to model the data in the table is, xy = 20

Answer:

12 cm confirm ...................

From the concept of trigonometric ratios, we determine the length of the side  BC is 6.75 cm.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, The length of the side AC = 9cm.

The measure of tan∠ABC = 0.75.

We know tan = opposite/adjacent.

Here, the opposite is AC and adjacent is BC.

Therefore, 0.75 = 9/BC.

BC = 9×0.75.

BC = 6.75.

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