Type the correct answer in each box.

,
then a = and b = .

Answer:

D AND E

Step-by-step explanation:

Answer:

53°

Step-by-step explanation:

not sure what you mean by nearest degree but use the cosine ratio to get the answer.

in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75

<C=cos^1 (45/75)

<C= 53°

Answer:

Simplify first:

-4n - 20 = 8

Add 20 to both sides:

-4n = 28

Divide by -4:

Therefore you will get:

n = -7

Answer:

n = -7.

Step-by-step explanation:

-4(n + 5) = 8

-4n - 20 = 8

-4n = 28

n = -7.

Answer:

Step-by-step explanation:

Price at the end of 1 month = $59 ⋅ 1.03 = $60.77

Answer:

y = 2x² + 12x + 71

Step-by-step explanation:

Answer: 0.9

Step-by-step explanation:

Sqrt 81 is 9

over 10 is 9/10

which is 0.9

Solution :

Here, we are interested to study if the treatments have any effect on going tumor or not. Actually, this is model is an ANOVA one way layout with a treatment 'drug'.

In this kind of model or ANOVA model, we take the negative statement as our null hypothesis i.e.,

[tex]$H_0:$[/tex] There is no difference in the distribution of tumors states across the three  statements.

Therefore, alternative hypothesis would be :

[tex]$H_a:$[/tex] There is a difference in the distribution of tumor states across the three treatments.

So the correct option is (B).

Answer:

B

Step-by-step explanation:

ABC:

A = 10 degrees

B = 145 degrees

145 + 10 = 165

180 - 165 = 15 degrees

C = 15 degrees

MNP:

M = 145 degrees

N = 15 degrees

P = so therefore, P is 165 degrees

MNP is similar to ABC

Answer:

37/10

( I hope this was helpful) >;D

Answer:

60 i think

Step-by-step explanation:

109-180= 71

u=71

71+49=120

120-180=60

109 is on a straight line with an interior angle of a triangle, so 180 - 109 = 71 degrees.

Add two known interior angles (71 + 49) together and you get 120 degrees.

Subtract 120 from 180 (since 180 is the sum of all three interior angles of a triangle) and you get 60 degrees.

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

Answer:

48

Step-by-step explanation:

f(x)=9x+3

f(5)=9(5)+3

f(5)=45+3

f(5)=48

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

Answer:

[tex] \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]

Answer:

0.41666666666

or

5/12

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Answer:

the answer is 0.98

Step-by-step explanation:

if it not correct plz correct me

Answer:

.975 mi²

Step-by-step explanation:

Hello There!

Formula for area of a triangle [tex]A =\frac{1}{2}bh[/tex]

where b = base and h = height

the dimensions of the triangle shown are b = 1.5 and h = 1.3

given the dimensions all we have to do is plug in the values into the formula

so

[tex]A=\frac{1}{2} 1.3*1.5\\1.3*1.5=1.95\\\\\frac{1.95}{2} =0.975[/tex]

so we can conclude that the area of the triangle is

.975 mi²

Answer:

√(88×11×2×4}=√88²=±88 is your answer

Answer:

[tex]±88.[/tex]

Step-by-step explanation:

[tex]= \sqrt{88 \times 88} [/tex]

[tex] = \sqrt{ {88}^{2} } [/tex]

[tex]±88[/tex]

Answer:

The system of equations are:

s + b = 1650.... Equation 1

0.04s + 1.5b = 1818........ Equation 2

The number of

Small trees = 450 trees

The number of Big trees = 1200 trees

Step-by-step explanation:

From the above question

Small trees = s

Large trees = b

An urban forest has 1,650 large and small trees.

Hence,

s + b = 1650.... Equation 1

s = 1650 -b

A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.

Hence:

0.04s + 1.5b = 1818........ Equation 2

We substitute 1650 - b for s

0.04(1650 - b) + 1.5b = 1818

66 - 0.04b + 1.5b = 1818

- 0.04b + 1.5b = 1818 - 66

1.46b = 1752

b = 1752 ÷ 1.46

b = 1200 trees

Solving for x

1650 - b = s

s = 1650 - 1200

s = 450 trees

Answer:

this is your answer look it once

Answer:

your mom

Step-by-step explanation:

you mom

Answer: (2t - 5) • (t - 1) -  2  = 0

t=3

Step-by-step explanation:

Answer:

taco:  $1.49 each

burrito:  $1.79 each

Step-by-step explanation:

Let b = cost of one burrito

     t =  cost of one taco

(1)     3b  + 4t  = 11.33              (2)     9b + 5t = 23.56

Multiply (1) by -3 and add to (2)     -9b - 12t = 33.99

                                                              - 7t = - 10.43

                                                                  t = 1.49

       3b + 4(1.49) = 11.33

          3b + 5.96 = 11.33

                  3b = 5.37

                    b = 1.79

Answer:

35 , 36 , 37

Step-by-step explanation:

Let the consecutive integers be x, (x + 1) , (x +2)

x + x + 1 + x +2 = 108

x + x + x + 1 + 2 = 108          {Combine like terms}

     3x + 3   = 108          {Subtract 3 from both sides}

             3x = 108 - 3

            3x = 105            {Divide both sides by 3}

              x = 105/3

               x = 35

The three integers are, 35 , 36 , 37

Answer: 9.2

Step-by-step explanation:

d = sqrt ((x2-x1)^2 (y2-y1)^2)

d = sqrt (85)

d = 9.219544

Answer:

24

Step-by-step explanation:

24

Answer:

$0.52

Step-by-step explanation:

To find the unit cost of one serving of watermelon, divide the price of the bunch of watermelons by the number of people to be fed

unit price = price of the bunch / total people to be fed

$7.75 / 15 = $0.52

Answer:

13.3 feet

Step-by-step explanation:

This question can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length = 20

b = base

c = diagonal = 24

24^2 = 20^2 + b^2

576 = 400 + b^2

b^2 = 176

b = 13.3