3. If triangle ABC has the following measurements, find the measure of angle A.
a = 17
b = 21
C = 25

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Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

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Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.

Answer:

B

Step-by-step explanation:

27%=0.27 and sqrt(2)<2.75

Answer:

5

Step-by-step explanation:

[tex]\sqrt{(2-5)^2+(2-6)^2} = \sqrt{(-3)^2+(-4)^2} = \sqrt{(9+16)} = \sqrt{25} = 5[/tex]

Answer:

-41 1/10

Step-by-step explanation:

subtract the two numbers may i get brainliest plz

This is a really simple fraction problem. All we have to do is realize that, because he is descending, the [tex]8\frac{3}{5}[/tex] is actually negative, so we get [tex]-32\frac{1}{2}-8\frac{3}{5}=-41\frac{1}{10}[/tex] which can also equal -41.1

Answer:

B

Step-by-step explanation:

5 divided by 2 is 5/2

Answer:

B

Step-by-step explanation:

5/2 the (/) is the divide sign

Answer:

The triangles are similar, therefore the ratio of 2:1 is constant for all sides as shown in 20:10.

Therefore, x is 14.

Answer:

b^12

Step-by-step explanation:

(b^4)^3

We know that x^y^z = x^(y*z)

b^4^3 = b^*4*3) = b^12

Answer: Hundreds and tens place values (the two copies of '6')

Explanation:

We're looking for where the digits are the same, which would be those two copies of '6'

The first 6 on the left is in the hundreds place. It represents 600

The other 6 is in the tens place, and it represents 60

The jump from 60 to 600 is "times 10".

Answer:

Surface area=114 cm^2

Step-by-step explanation:

Surface area of a cuboid is given be 2(lb+bh+lh). ATQ, l=3, h=3, b=8. Plugging them into the formula, we will get surface area=114 cm^2

Answer:

A.

[tex]y = (x - 2 {)}^{2} + 2[/tex]

Step-by-step explanation:

[tex]y = {x}^{2} - 4x + 6[/tex]

[tex] = y + 4 = {x}^{2} - 4x + 4 + 6[/tex]

[tex] = y + 4 = (x - 2 {)}^{2} + 6[/tex]

[tex] = y = (x - 2 {)}^{2} + 6 - 4[/tex]

[tex] = y = (x - 2 {)}^{2} + 2[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]

[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]

[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]

[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]

[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]

[tex]\\ \sf\longmapsto x-y=0[/tex]

Now

[tex]\\ \sf\longmapsto 4x-4y-4[/tex]

[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]

[tex]\\ \sf\longmapsto 4(0-4)[/tex]

[tex]\\ \sf\longmapsto 4(-4)[/tex]

[tex]\\ \sf\longmapsto -16[/tex]

Answer:

No, they cannot. Some polynomials are different than others and can be factored in different ways. Some can't even be factored at all.

Perfect Square Trinomials have a pattern with factoring and can be written as one binomial squared.

Difference of Squares has a pattern of (x - y)(x + y).

Difference/Sum of Cubes have formulas for their patterns.

Prime Polynomials simply cannot be factored.

Step-by-step explanation:

Brainliest, please! (Almost an Ace)

Answer:

24

Step-by-step explanation:

There are 6 different types of rackets and 4 different types of balls.

To determine the number of different combinations

6 rackets * 4 balls

24 combinations

Answer:

24

Step-by-step explanation:

Answer:

not detectable

Step-by-step explanation:

Firstly the question is not clear and the second thing is that the given information don't seem to be enough for calculation

Answer:

Wait, I'm confused what?

Step-by-step explanation:

I don't think this provides enough info, is there a picture you forgot to send?

Answer:

93+52+x=180(sum of angels of a triangle)

145+x=180

x=180-145

x=35

Answer:

D. 35

Step-by-step explanation

Every triangle equals to 180 degrees

Add the 2 angles, 93 and 52 which equals 145

Now subtract 180 and 145

Therefore, you should get 35

Answer:

Total=(0.25(p))+(0.05(r))

replace the letter value with the # of items and solve using equation

Answer: 2

Step-by-step explanation: if you use a calculator or you could use paper and pencil write out the expression and you should get 2

Answer:

The answer would be -2.

Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!

Answer:

Step-by-step explanation:

Total muffins = 12

Burned muffins = 2

not burned = 10

Total served = 7/10

= 7 muffins

So

10 - 7/10

3 unburned muffins left

Fraction = 3/10

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Answer:

below

Step-by-step explanation:

Use the formula πr^2h to find volume of a cylinder

= π(11)^2(12)

= 4561.59253...

Rounding to the nearest 10th

= 4561.6 mi^3

Hope this helps!

Answer:

Step-by-step explanation:

Volume = pi * r^2 * h

r = 11

h = 12

Volume = pi * 11^2 * 12

Volume = 3.14 * 121 * 12

Volume = 4501.2 mi^3

Answer:

x = 2, -4

Step-by-step explanation:

4x^2 + 8x – 32 = 0

Divide by 4

x^2 + 2x – 8 = 0

Add 8 to each side

x^2 + 2x  = 8

Take the coefficient of x

2

Divide by 2

2/2 =1

Square it

1^2=1

Add it to each side

x^2+2x+1 = 8+1

(x+1)^2 = 9

Take the square root of each side

sqrt((x+1)^2) = ±sqrt(9)

x+1 = ±3

Subtract 1 from each side

x = -1±3

x = -1+3, -1-3

x = 2, -4

Answer:

B

Step-by-step explanation:

Given

4x² + 8x - 32 = 0 ( divide through by 4 )

x² + 2x - 8 = 0 ( add 8 to both sides )

x² + 2x = 8

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(1)x + 1 = 8 + 1

(x + 1)² = 9 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( subtract 1 from both sides )

x = - 1 ± 3

Then

x = - 1 + 3 = 2

x = - 1 - 3 = - 4

Answer:

x = 6

Step-by-step explanation:

The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)

5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

Answer:

2x+10=4b

Step-by-step explanation:

If you look at the previous equation, you will notice that

x*2 = 2x and

5*2 = 10.

So now all you need to do is also multiply the right side of the equation with b by 2, just like you did to the left side, and you'll get

2x+10 = 4b.

I hope this helped! :D

Answer:

2x + 10 = 4b

Step-by-step explanation:

Given

x + 5 = 2b ( multiply through by 2 )

2x + 10 = 4b

Cheese required for 1 pizza = ½ pound

So, cheese required for 19 pizzas

= 19 × ½ pounds

= 19/2 pounds

= 9½ pounds

So, Hailey needs 9½ pounds of cheese to make 19 pizzas.

The solution is 9.5 pounds

The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pounds of cheese for 19 pizzas be A

Now , the equation will be

The number of pounds of cheese for 1 pizza = 1/2 pounds

So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza

Substituting the values in the equation , we get

The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )

The number of pounds of cheese for 19 pizzas = 19/2

The number of pounds of cheese for 19 pizzas = 9.5 pounds

Therefore , the value of A is 9.5 pounds

Hence , the number of pounds of cheese is 9.5 pounds

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

It is false, because infinity is not a cardinality. The set  N  of positive integers is infinite and its cardinality is, if you wish,  ℵ0 , the smallest infinite cardinal number, at least in an axiomatic set theory. A set  S  is infinite if and only if there exists a bijection between  S  and a proper subset of  S , i.e. a subset of  S  different from  S . Now the successor function  s:N→N∗  is such a bijection; this follows from Peano’s axioms for arithmetic.

Answer: false

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