The measure of an angle is 77°. What is the measure of its complementary angle?

Answer:

50

Step-by-step explanation:

when u add all the angles of a triangle the sum should be 180.. so 65+65 is 130... then u have to subtract 130 from 180 which gives the final answer as 50

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Answer:

3

Step-by-step explanation:

Here is the full question :

This sign shows admission fees and ticket prices for a museum :

General Admission: $18

Tickets to Special Exhibits $7

Tickets to Movies $6

Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?

If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54

Since everyone would have to pay the general admission ticket, we can determine the number of people in the group

number of people in the group = total amount spent on general admission / price of general admission per person

= $54 / $18 = 3

Answer:

At Z-Mart, after the discount it is 7/8 of the original price of 225,

at ABC Sports the final price is 200,

and at Bike World, after the discount it is 3/4 of the original price of 265

so

we multiply 225 by 7/8 to get 196.88,

which is lower than ABC Sports,

and then we multiply 265 by 3/4 to get 198.75, which is higher than Z-Mart

so Z-Mart or A) is correct.

Hope this helps! :D

Answer:

1.5(4)+17=23

Step-by-step explanation:

1.5(4)+17=23

I know that because first we subtract 23 and 17 and get 6 so we divide 6 and 4 because there are 4 x's and we get 1.5 so we have 4, 1.5's and then to check our answer we multiply 1.5, 4 times or just add it and then we have to add 17+6 because 6 is what we got from multiplying 1.5, 4 times therefore the total of 17 and 6 is 23

Answer:

The answer is below

Step-by-step explanation:

The co-vertices of an ellipse are the endpoints of the minor axis. The equation for an ellipse is given by:

[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1[/tex]

Where (h, k) is the center of the ellipse, (h, k±b) is the co-vertices, (h ± a, k) is the vertices, (h ± c, k) is the foci and c² = a² - b²

Since the center is the origin, hence (h, k) = (0, 0). i.e h = 0, k = 0.

Foci = (h ± c, k) = (± c, 0) = (±3, 0). c = 3

co-vertices = (h, k±b)  = (0, ±b)  = (0, ±4). b = 4

c² = a² - b²

a² = c² + b²

a² = 3² + 4² = 25

a = 5

Therefore the equation of the ellipse is:

[tex]\frac{x^2}{5^2} +\frac{y^2}{4^2}=1 \\\\\frac{x^2}{25} +\frac{y^2}{16}=1[/tex]

Answer:

•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25

•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25

cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗

sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5

Answer:

Jeans: 3 T-shirts: 2

Step-by-step explanation:

40 times 3 equals 120

20 times 2 equals 40

120+40=160

Joe bought 3 pairs of jeans and 2 T-shirts.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Let's represent the number of pairs of jeans that Joe bought "x".

The total cost of the jeans would be $40 × x.

And the total cost of the T-shirts would be $20 × (5 - x).

Since Joe spent a total of $160, we can set up an equation to solve for x:

$40 × x + $20 × (5 - x) = $160

Expanding the second term:

$40 × x + $20 × 5 - $20 × x = $160

Combining like terms:

$40 × x + $100 - $20 × x = $160

Subtracting $100 from both sides:

$40 × x - $20 × x = $60

Combining like terms:

$20 x = $60

Dividing both sides by $20:

x = 3

So he bought 3 pairs of jeans and 5 - 3 = 2 T-shirts.

Learn more about the equations here:

brainly.com/question/10413253

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Answer:

Pay rate: 7

He earns $160 for a 40-hour week

Step-by-step explanation:

210/30 = 7

[tex]\frac{30}{120} =\frac{40}{x} \\\\30x=4800\\x=160[/tex]

Answer:

124.8 Inches

Step-By-Step

1/2 0.835 Inches = 0.4175

r = 0.4175

h = 0.077

A=2πrh+2πr^2

A=2π(0.4175)(0.077)+2π(0.4175^2)

A = 3.12

Nickel = 5 Cents

$2 = 200 Cents

200 / 5 = 40

(3.12)(40) = 124.8 In

Answer:

The answer is 0.8 in^2

Step-by-step explanation:

Data

diameter = 0.835 in

thickness = 0.077in

Roll of $ 2.00

Procedure

1.- Find the total number of nickels

# of nickels = 2/ 0.05

# of nickels = 40

2.- Calculate the Circumference

C = 2*pi*r

r = 0.077/2

r = 0.0385

C = 2*3.14*0.0385

C = 0.242 in

3.- Calculate the area of the thickness

Area = 0.242* 0.077*40

Area = 0.745 in^2

4.- Calculate the area of the base and the top

Area = 2*pi*r^2

Area = 2*3.14*(0.0382)^2

Area = 0.0093 in^2

5.- Calculate the total area of the roll

Total area = Area of the thickness + Area of the base and top

Total area = 0.745 + 0.0093

Total area = 0.7543 in^2 This is the result

Rounding to the nearest tenth = 0.8 in^2

Answer:

I'm unable to understand your question please write it properly

Answer:

Step-by-step explanation:

Remark

What the question means is wherever you see an x on the right, you put in 12 and solve it. I'm going to assume you mean (2/3)*x + 3 on the right.

Solution

f(12) = (2/3) * 12 + 3

f(12) = 2 * 12 / 3 + 3

f(12) = 24/3 + 3

f(12) = 8 + 3

f(12) = 11

Answer:

hewo

Step-by-step explanation:

i dont know- probably bc they don't want to

Answer:

100

Step-by-step explanation:

Give the equation :

y = 100x

The equation above is expressed using the general formof a direct variation ; where ;

a varies directly as x equals

a = kx

Where, k = constant of proportionality

Comparing this with the equation above, we can conclude that, the above equation has a constant of variation, k which is equal to 100

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

Answer:

D is correct.

0 is greater than -2.

-1 is greater than -2.

5 is greater than -2.

-3 is smaller than -2.

Hope this helps!

Answer:

x=25

Step-by-step explanation:

these angles are of the same measure, so i set the two values equal to eachother. it looks like

75=(4x-25)

and solve for x

I HOPE THIS IS RIGHT!! have a great day

Answer:

$28,080

Step-by-step explanation:

15*10=150/wk

150*52wks=7,800

13*30=390/wk

390*52wks=20,280

20,280+7,800=28,080

Answer:

(x+1) (7x+8)

Step-by-step explanation:

7x2+(7+8)x+8

7x2+7x+8x+8

7x(x+1)8(x+1)

(x+1)(7x+8)

Answer:

y=-2/5x+2

Step-by-step explanation:

use y = mx + b

m = slope = rise/run = 2/5

b = y-intercept when x is zero (0,y) = (0,2) = 2

since the line is going down, the slope has to be negative.

Answer:

Step-by-step explanation:

(a + 3)×(−2a² + 15a + 6b²) =

= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =

= -2a³ + 15a² + 6ab² - 6a² + 45a + 18b² =

= -2a³ + 9a² + 6ab² + 45a + 18b²

The product [tex](a+3) * (-2a^2+15a+6b^2)[/tex] is [tex]-2a^3+9a^2+ 45a +6ab^2 + 18b^2[/tex]

The product of numbers or expressions is gotten by multiplying them

The product expression is represented as:

[tex](a+3) * (-2a^2+15a+6b^2)[/tex]

Expand the expression

[tex]-2a^3+15a^2+6ab^2 -6a^2 + 45a + 18b^2[/tex]

Collect like terms

[tex]-2a^3+15a^2 -6a^2+ 45a +6ab^2 + 18b^2[/tex]

Evaluate the like terms

[tex]-2a^3+9a^2+ 45a +6ab^2 + 18b^2[/tex]

Hence, the product [tex](a+3) * (-2a^2+15a+6b^2)[/tex] is [tex]-2a^3+9a^2+ 45a +6ab^2 + 18b^2[/tex]

Read more about products at:

https://brainly.com/question/4344214

Answer:

109

Step-by-step explanation:

Answer:

Given that is a 45-45 triangle, the hypotenuse should be x[tex]\sqrt{2}[/tex], so in this case. The hypotenuse should be 3[tex]\sqrt{2}[/tex], and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!

Step-by-step explanation:

Answer:

base =3in and hypotenuse =3√2

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin 45=p/h

sin45=3in/h

h=3in/sin45=3√2 inch

relationship between perpendicular and base is given by tan angle

tan45=P/b

b=3in/tan45=3in

Answer:

[tex]4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}[/tex]

Step-by-step explanation:

Given

[tex]4\frac{1}{4} - 2\frac{7}{8}[/tex] --- proper representation of the question

Required

Evaluate

Convert numbers to improper fractions

[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{17}{4} - \frac{23}{8}[/tex]

Take LCM

[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{34 - 23}{8}[/tex]

[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{11}{8}[/tex]

Convert to improper fraction

[tex]4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}[/tex]

Answer:

Given function:

a)

Th x-intercept found when g(x) = 0

Solve the equation to find the values of x:

The x-intercepts are (3 + √7, 0) and (3 - √7, 0)

b)

Solve as above:

The left side is a square of a number which is always positive, the right side is negative.

It means there is no solution, so no-x-intercepts.

The graph of the function lies above the x-axis.

Answer:

Step-by-step explanation:

9/81= kg per book= 1/9 kg

88 books weigh 1/9*88=88/9 kg = 9.77 kg

Answer:

9.77777777768kg

Step-by-step explanation:

81 books= 9kg

so, one book= 9/81= 0.11111111111111

Therefore, 88 books(88x0.1111111)

Answer: 9.77777777768kg

Answer:

f

Step-by-step explanation:

Answer:

the answer is f

Step-by-step explanation: