What is the measure of angle 1?
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Answer:

5÷0.45=11.1

11x3=33

Step-by-step explanation:

300/45=6.67x3=20

He would be able to eat 20 hot dogs

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer:7

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Took the test

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

[tex]y = 11 + x[/tex]

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

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

[tex]y^2 = 2x^2[/tex]

This gives:

[tex](11+x)^2 = 2x^2[/tex]

Open bracket

[tex]121 + 22x + x^2= 2x^2[/tex]

Collect like terms

[tex]2x^2 - x^2 -22x - 121 = 0[/tex]

[tex]x^2 -22x - 121 = 0[/tex]

Using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]

[tex]x = \frac{22\±31.11}{2}[/tex]

Split

[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]

[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]

x can not be negative.

So:

[tex]x = \frac{53.11}{2}[/tex]

[tex]x = 26.56[/tex]

Recall that:

[tex]y = 11 + x[/tex]

[tex]y = 11 + 26.56[/tex]

[tex]y = 37.56[/tex]

Hence, the dimensions are:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Answer: P=2300 (1- 0.05)^x

Step-by-step explanation:

Answer:

37+12 =49_218+54=4554472287/41

Answer:

13916.6m^3

Step-by-step explanation:

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

Answer:

Sam

Step-by-step explanation:

Mathew: 0.8 = 80%

Lily: 1/4 = 25%

George: 77%

Sam: 82%

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

see below

Step-by-step explanation:

let x = big number

let you = small number

x + y = 215-------> (1)

x - y = 137 ------>(2)

(1)

x = 215 - y ----->(1)

substitute 1 into 2

215 - y -y = 137

-2 y = 78

y = 39

substitute y = 39 into (1)

x = 215 - (39)

x = 176

thus the numbers are 176 & 39

hope this helps

please mark it brainliest

it took me quite long to do this

I’ve attached my table of what I’ve done

Answer:

can u in some way better write down the expression so i can solve..? :)

Question isn't well formatted and seems incomplete :

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.

Answer:

Step-by-step explanation:

Given that:

Number of trucks = 3

Number of bags each truck can hold = 3

Weight per bag = 200 pounds

Amount of in each truck :

Weight per bag * number of bags

200 * 3 = 600 pounds

Which is 600 pounds per truck

Total pounds carried by the trucks :

600 pounds * 3 = 1800 pounds

Answer:

The answer is D

Answer:

(9, 57/7)

Step-by-step explanation:

Given the coordinates A(5 , 5)  and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;

P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

Substitute the given values

X = 5(5)+2(19)/5+2

X = 25+38/7

X = 63/7

X = 9

Similarly;

Y = 5(5)+2(16)/5+2

Y = 25+32/7

Y = 57/7

Hence the coordinate of point P is (9, 57/7)

Answer:

angle FGJ and angle KJG

hope it helps

Answer:

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Step-by-step explanation:

We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:

[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)

Where:

[tex]T(x,y)[/tex] - Translation vector.

[tex]A(x,y)[/tex] - Location of the center of the circle A.

[tex]B(x,y)[/tex] - Location of the center of the circle B.

If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:

[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]

[tex]T(x,y) = (2,4)[/tex]

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Answer:

Step-by-step explanation:D

Answer:

Step-by-step explanation:

Put them in your calculator. I think you'll find 2.95 is larger by 0.001

Do it like this 2.95 - 2.949 = 0.001

Answer:

468 minutes

Step-by-step explanation:

Given data

At a race a few months ago, she finished in 360 minutes

let us find 30% of 360 minutes

=30/100*360

=0.3*360

=108 minutes

Hence she finished with an added time of 108minutes

Therefore, in all she finished in

=108+360

=468 minutes

Answer:

I think D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Its d