MATHEMATICS MIDDLE SCHOOL

kimi is playing hide-and-seek with Tommy and Manuel. Tommy is hiding 12 feet south of Kimi, and Manuel is hiding due east of Tommy. If Kimi is 20 feet from Manuel, how far apart are Tommy and Manuel?

Answers

Answer 1

Answer:

Answer:

Tommy and Manuel are 16 ft apart

Step-by-step explanation:

The locations of all three players are shown in the image below

They form a right triangle where the hypotenuse is 20 ft, and one of the legs is 12 ft. We must find the other leg.

We must use Pythagoras's theorem. Being a and b the legs of a right triangle and c its hypotenuse, then

$c^2=a^2+b^2$

Knowing c and one of the legs, say b:

$a^2=c^2-b^2$

Using the values c=20, b=12 we find

$a^2=20^2-12^2=400-144=256$

$a=√(256)=16$

So, Tommy and Manuel are 16 ft apart

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One positive integer is 5 less than another. Theproduct of the two integers is 24. What are theintegers?Senarate the answers with a comma.
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Which expression is equivalent to 4/9 divided by 2/3
Adding fractions and decimos
What is the solution to the equation below? log6 4x 2 - log6 x=2

Complete the expanded form for the number 81.402

Answers

80 000
1 000
    400
      00
      2

Miguel’s family drove 357 miles on their weekend trip. Their car’s average gas mileage was 25.5 miles per gallon. How many gallons of gas did they use? Round your answer to the nearest tenth of a gallon if necessary.1.4 gallons
14 gallons
91 gallons
140 gallons

Answers

14 gallons, or b.
I took the test

Answer:

The Answer is B.14

Step-by-step explanation: You get this answer by dividing 357 by 25.5 and you come out with 14 (problem) 357/25.5

Complete the equation for the linear function whose graph contains the points (9, 7) and (4, –8).

Answers

Answer:

$\boxed{\boxed{y-7=3(x-9)}}$

Step-by-step explanation:

The given points are $(9, 7),(4, -8)$

We can get the line equation passing through these points by applying point slope formula.

The slope of the line joining these two points would be,

$=(y_2-y_1)/(x_2-x_1)$

$=(-8-7)/(4-9)$

$=(-15)/(-5)$

$=3$

The general point slope form of straight line is,

$y-y_1=m(x-x_1)$

Putting the slope as 3 and the point as (9, 7),

$y-7=3(x-9)$

y-7=3(x-9) or it could be y=3x-20

The equation P=28+2.54w models the relation between the amount of Randy's monthly water bill payment, P, in dollars, and the number of units of water, w, used. Interpret the P-intercept of the equation.

Answers

The P - intercept of the equation is 28

Solution:

Given equation models the relation between amount of Randy's monthly water bill payment and number of units of water used

P = 28 + 2.54w

Where,

"P" is the monthly water bill payment in dollars

"w" is the number of units of water used

Compare this equation with slope intercept form

Slope intercept form: y = mx + c

Where "m" is the slope of line and "c" is the y intercept

Therefore in given equation, P = 28 + 2.54w

2.54 is the slope and 28 is the P - intercept

The slope, 2.54, means that Randy’s payment increases by $2.54 when the number of units of water he used increases by 1

When "w" increases by 1 , then P increases by $ 2.54

The P –intercept means that if the number units of water Randy used was 0, the payment would be $28

When w = 0 ,

P = 28 + 0

P = $ 28

Thus the P - intercept determines the monthly payment bill

Answer:

The slope, 2.54, means that Randy's monthly water bill payment increases by 2.54 dollars for each unit of water used.

what is the longest flagpole (in whole feet) that could be shipped in a box that measures 2ft by 2ft by 12ft

Answers

pythagorean theorem
we assume that we simplif it so
the longest flagpole legnth is the diagonal of the box
we do 2 right triangle/pythagorean theorem things (attachment below)

a^2+b^2=c^2 where a and b are legs and c is hyptosute

bottom
2^2+2^2=c^2
4+4=c^2
8=c^2
sqrt boh sides
2√2=c

now that is bottom
height=12
so
12^2+(2√2)^2=c^2
144+8=c^2
152=c^2
2√38=c
aprox
12.3288
round
12

answer is 12 feet in whole feet

answer i 12 feet

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?g(x) = 2(3)x
g(x) = −(3)x
g(x) = (3)−x
g(x) = 2(3)−