A bag contains four red marbles and eight
blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag.Both marbles are red.

I'm going to refer to the two separate triangles in this problem by their missing angles. So the smaller triangle is triangle 1, and the larger triangle is triangle 2.

Let's work on triangle 1 first.

We can easily find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 1.

180 - 115 = 65

Now that we know two of the angles in the triangle, and we know that the sum of the interior angles in a triangle is 180, we can find our missing angle 1.

80 + 65 + <1 = 180

145 + <1 = 180

<1 = 35 degrees

Now let's go ahead and move on to triangle 2.

We can again find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 2 also.

180 - 115 = 65

Then, we can use the same principle as we did with triangle 1 to find our missing angle 2 in triangle 2.

85 + 65 + <2 = 180

150 + <2 = 180

<2 = 30 degrees

Hope this helps!! :)

Answer: 3900[tex]\pi[/tex] ft^3

if you use the formula on how to find the volume of a cone

V=[tex]\pi[/tex]r^2*h/3

you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3

Answer:

10

Step-by-step explanation:

[tex]1 \frac{1}{4} \times 8 = 10[/tex]

Answer:

10 pounds.

Step-by-step explanation:

1 * 8 + 1/4 * 8

= 8 + 2

= 10 pounds.

Answer:

The answer is D 763.

Step-by-step explanation:

Don't have an explanation

A chicken farmer needs to sell 763 crates to realize a profit of $11,300.

Equation

A statement of equivalence between two expressions containing variables and/or numbers is called an equation. In essence, equations are questions, and attempts to discover systematic answers to those questions have spurred the development of mathematics.

Equation according to the given information

Based on the given information describe the problem is equation.

(34.24 × x) - (7312 + 9.86x) = 11300

34.24x - 7312 - 9.86x = 11300

34.24x - 9.86x = 11300 + 7312

24.38x = 18612

x = 18612 / 24.38

x = 763

Hence chicken farmers need to sell 763 crate

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Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

[tex]y = ax^2 + bx + c[/tex]

If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.

If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.

In this question:

[tex]y = -x^2 - 2x + 3[/tex]

From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.

Answer:

27.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

110/4 is 27.5

Answer:

1,406

Step-by-step explanation:

p = a(1 + r)^t

p = 1,236(1.013)^10

p = 1,406.4131692427

p = 1,406

Answer:

The value for 6 is ones that's the answer

Answer:

14) 0.01 or 1/100

15) 0.06

16) 3.02

17) >

18)0.6

19) 100

20) 0.35

9514 1404 393

Answer:

  600, 1400, 3000, and 5000

Step-by-step explanation:

The profit equation can be simplified.

  P = 350n -(150n +1000)

  P = 200n -1000 . . . . . . . . . collect terms

  P = 200(n -5) . . . . . . . . . . . factor out 200

For the given numbers n, we have ...

  P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}

Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.

Answer:

5

Step-by-step explanation:

See the image below:)

Answer:

84in

Step-by-step explanation:

84in

Answer:

A = 254.34 in² and circumference = 56.52 inch

Step-by-step explanation:

The attached figure shows a pizza having diameter of 18 inches

Radius of the pizza = 9 inches

The area of the pizza is given by :

[tex]A=\pi r^2\\\\=3.14\times 9^2\\\\=254.34\ in^2[/tex]

The circumference of the pizza is given by :

[tex]A=2\pi r\\\\=2\times 3.14\times 9\\\\=56.52\ inch[/tex]

Hence, this is the required solution.

Answer:   nonexperimental study

Instead, this is a survey

==================================================

Explanation:

We have a survey being conducted because the researchers are asking the students the questions. It's not an experiment because the students aren't being broken up into two groups (control group vs treatment group) to see the difference between the two if any.

9x =90

x=90/9

=10

4×10= 40

5×10=50

Answer:

1.

In triangle ∆AFD ,∆BGD ,∆CHD

<AFD=<BGD=<CHD

[being corresponding angle]

<DAF=<DBG=<DCH

[being corresponding angle]

<D is common for all.

So

∆AFD ~∆BGD ~∆CHD

[By A .A .A. axiom]

look

again

at picture pasted

By AAA axiom ∆AFD , ∆BGD , ∆CHD are similar with each other.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

a). In ΔAFD, ΔBGD, ΔCHD

∠AFD = ∠BGD = ∠CHD [being corresponding angle]

∠DAF = ∠DBG = ∠DCH  [being corresponding angle]

∠D is common for all.

So ∆AFD ~∆BGD ~∆CHD   [By A .A .A. axiom]

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Answer:

length and width = 12,9

Step-by-step explanation:

Answer:

c.153 degrees

Step-by-step explanation:

hope it helps

Linear pairs are supplementary

Answer:

5

Step-by-step explanation:

x = 10 × Sin ( 30 )

x = 10 × 1/2

x = 5

Answer:

$15,264 cost amount on new advertising.

Shown as new equation that includes (original + new customer base)

n3=15264a

Step-by-step explanation:

First we have to find original amount of customers as 3 represents a multiple of n

n3=13824a

n3 means n x 3 then customer base is one third

= 1/3 x 13,824  = 4608 original customers per year

= 4608 original customers +480 new customers

4608 + 480 = 5088 total orig+initial  customers

5088 x 3 = 15264 cost

= ($)15,264 cost

new equation

n3=15264a

Answer:

its 7/9

Step-by-step explanation:

you just have to flip the fractions

Answer:

7/9

Step-by-step explanation:

Flip the fraction

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest

Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.

Area of rectangle inside triangle = 2× 5 = 10 sq unit.

area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit

Gray area = Big triangle area - white

rectangle area

Gray area = 1/2 × 6 × 9 - 2 × 5

Gray area = 3 × 9 - 10

Gray area = 27 - 10

Gray area = 17

Answer:

Step-by-step explanation:

The function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, in 1996 a town had 170 cell phone users. This number increased by 75% each year.

Let the number of phone users t years after 1996 be y

The number of phone users t years after 1996 is

y= [tex]170(1+\frac{75}{100})^t[/tex]

y= [tex]170(1.75)^t[/tex]

Therefore, the function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].

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Answer:

the answer is %25

Step-by-step explanation:

Answer:

Arc length = 6.28 units

Step-by-step explanation:

[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]

Answer: 56?

Step-by-step explanation:

The value of x by CPCTC is 3.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x.

CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.

The side x is congruent to the quadrilateral having length 3.

the value of x is 3

Hence, the value of x by CPCTC is 3.

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