Answer:
14.9 miles
Step-by-step explanation:
In the image below, the side of the triangle a, represents; "Peter leaves work and drives 10miles due south".
The side of the triangle b represents; "he then heads east for 11 miles to reach his home"
The distance between his work and home is represented by side c of the triangle.
This is a tight angle triangle, hence pythagoras theorem would be applied in solving it.
This theorem states that the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides;
This means we have;
c² = a² + b²
c² = 10² + 11²
c = √(100+121)
c = 14.87
Rounding off to the nearest tenths = 14.9
please help i have to get this all done by tommorw
The family built a house that has a length and width in a ratio of 5: 4, what is the length and width of the house if the total area of two identical floors is 160m2
I hope it will help u , please Brain -list the question
Step-by-step explanation:As given that
L:W=5:4
L/W=5/4
L=(5/4)W
hence we also know that
Area of rectangle= L*W
As given A=160m2
putt the value of A and L=(5/4)W in above equation ,
hence 160 = (5/4)W * W
W^2 = 160*4/5
W^2 = 32*4
W^2=128
taking square root
W= +_ 11.3
but length can't be negative so we take positive value of W
W=11.3 m
Now for L putt in above equation,
L=5/4 * 11.3 = 14.12 m
An item has a listed price of $45. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
Answer:
$42.75
Step-by-step explanation:
Of the 75 cars that Lindsay saw pass on the highway, 16% had an out-of-state license plate. How many had an out-of-state license plate?
Answer:
12
Step-by-step explanation:
75 * 0.16 = 12
Answer:
12 cars
Step-by-step explanation:
Evaluate this expression when x is -250
-2x+400
Answer:
900
Step-by-step explanation:
-2(-250)+400
or, 500+400
=900
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2 tickets cost $14. How many tickets can you buy with $63
Answer:
9 tickets
Step-by-step explanation:
If two tickets cost 14 dollars, then each ticket will cost 7 dollars
63/7=9
You can buy 9 tickets
Answer:
You can buy about 31 tickets
Step-by-step explanation:
the perimeter of a rectangle is (8x + 7y) feet, give two possible dimensions of the rectangle
please help ??
Answer:
Two possible dimensions of the rectangle are 4x and 7/2 y.
Step-by-step explanation:
The Perimeter of a Rectangle
It's given the perimeter of a rectangle is
P = 8x + 7y
The formula to calculate the perimeter of a rectangle of dimensions L and W is:
P = 2W + 2L
Equating term by term, we can guess two possible dimensions of the rectangle:
2W = 8x
Dividing by 2:
W = 4x
And also:
2L = 7y
Dividing by 2:
L = 7/2 y
Thus, two possible dimensions of the rectangle are 4x and 7/2 y.
slope intercept form of y+5=-7/4 ( x - 4)
Answer: y=-7/4x+2
Step-by-step explanation:
The whole number 24 is equivalent to
Answer:
24/1 please mark as brainliest
need some help (Geo)
Answer:
b
Step-by-step explanation:bb
Step-by-step explanation:
Angle 6 and Angle 3 must be supplementary to show that the 2 lines are parallel (D).
Write the equation 3x+2=4x² in standard form.
Identify the values of a,b, and c that you would use to solve the equation using the Quadratic Formula.
Answer:
Write the Equation in Standard Form 3x+2=4x^2. 3x+2=4x2 3 x + 2 = 4 x 2. To write an equation in standard form, move each term to the left side of the equation ...
Missing: 4x² | Must include: 4x²
Step-by-step explanation:
Write the Equation in Standard Form 3x+2=4x^2. 3x+2=4x2 3 x + 2 = 4 x 2. To write an equation in standard form, move each term to the left side of the equation ...
Missing: 4x² | Must include: 4x²
3(1−9a)+22a=2(2a−9)−15
i need a step by step explanation
Step-by-step explanation:
3(1-9a)+22a=2(2a-9)-15
3-27a+22a=4a-18-15
-27a+22a-4a=-18-15-3
-a=-36
a=36
Answer:
A= 4
Step-by-step explanation:
3(1-9a)+22a=2(2a-9)-15
3-27a+22a=2(2a-9)-15
3-5a=2(2a-9)-15
3-5a=4a-33
3-5a-3=4a-33-3
-5a=4a-36
-5a-4a=4a-36-4a
-9a=-36
-9a/-9 = -36/-9
A=4
Pleaseeee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
X=60
Step-by-step explanation:
4/10=24/x
cross multiply
4x=240
x=240/4
x=60
Three guys rent a hotel room for the night. When they get to the hotel they pay the $30 fee, then go up to their room. Soon the bellhop brings up their bags and gives the lawyers back $5 because the hotel was having a special discount that weekend. So the three lawyers decide to each keep one of the $5 dollars and to give the bellhop a $2 tip. However, when they sat down to tally up their expenses for the weekend they could not explain the following details:
Each one of them had originally paid $10 (towards the initial $30), then each got back $1 which meant that they each paid $9. Then they gave the bellhop a $2 tip. HOWEVER, 3 • $9 + $2 = $29.
The guys couldn't figure out what happened to the other dollar. After all, the three paid out $30 but could only account for $29.
Can you determine what happened?
Answer:
I didnt understand but lets just say the bellhop took ot
A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy? (2 points) A. Write a multiplication equation and division equation to represent the situation.
Answer:
x = 4/25
Step-by-step explanation
Amount of tangerines in bags sold = 25kg
If a customer bought 4kg of tangerines, the number of bags he bought is expressed as x;
4 kg = x bags
25 kg = 1 bag
Cross multiply
25 x = 4 * 1
25x = 4
Divide both sides by 25
25x/25 = 4/25
x = 4/25
Hence the required equation is x = 4/25
Answer:
So if you are in middle school like me, they are asking for an equation answer, and that equation is 4 divided by 2/5 = _ and _ x 2/5 = 4
Step-by-step explanation:
If A = 50 degrees, B = 62 degrees, and a = 4, find b.
Round to the nearest tenth.
=================================================
Work Shown:
Use the law of sines
b/sin(B) = a/sin(A)
b/sin(62) = 4/sin(50)
b = sin(62)*4/sin(50)
b = 4.61042489526572
b = 4.6
Make sure your calculator is in degree mode.
Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .
Answer:
y= 3/4x + 6.4
Step-by-step explanation:
If your teacher asks why it's so specific tell them you used desmos <3
What do you notice about dividing numbers with the same base?
Answer:
it's the one all the way to the right
Which of the following may be used as reasons in a two-column proof? Select all that apply.
Answer:
definitions, theorems, postulates, properties, and "given"
Step-by-step explanation:
Definitions, theorems, postulates, properties, and statements that are given are all either assumed to be true or proven to be true, and can be cited in a two-column proof.
Quotes and opinions are not statements of fact, and cannot be used in proofs.
I got this question wrong. My teacher said something about altitude, but I have not a clue how to do it
Answer:
cone shape and cm 3
area of shape
Step-by-step explanation:
3 cm ×8 cm
24
please follow me all friends who are watching me who made answer
Which expression best estimates. -18 1/4 ÷ 2 2/3 A. 18÷3 B. -18÷3 C.-18÷(-3) D. 18÷(-3)
Answer:
the amswer is d hope this helps
1-:4(x-3)=5 what is x
Answer:
x = 23
Step-by-step explanation:
1/4(x-3)=5
Multiply both sides by 4.
x - 3 = 20
Add 3 to both sides.
x = 23
PLEASE HELP ME WITH THIS QUESTION I NEEED HELP ASAPm
Answer:
one pound is 4 dollars and 12 pounds would cost 48 dollars
870 g of brass contains 40 percent zinic and the rest is copper.find the mass of zinic and copper in the alloy
Step-by-step explanation:
Mass of Zinc = 870g * (40/100) = 348g.
Mass of Copper = 870g - 348g = 522g.
Mass of zinc = 40/100*870 = 348
Mass of Copper = 60/100*870 = 522
Therefore, the mass of zinic in the alloy is 348 and the mass of copper in the alloy is 522.
based on the information in the table wich of these key features is incorrect
50 POINTS | I NEED FULL STEP BY STEP ANSWER FOR EACH PROBLEM
Answer:
Step-by-step explanation:
Hi Can you help me with this math question
i will give you 20 points if you can help me
Answer:
a) all equations must have an equal sign
b) (5,15) and (6, 18)
c) don't know Cop?
d) f(p) = 3g where 'p' is points and 'g' is goblins defeated
e) f(12) = 3(4)
Step-by-step explanation:
What is the coefficient of y^3 in the expansion of (y+3) raised to the 4th power?
A. 1
B. 6
C. 4
D. 3
Jennifer's grade on a math quiz was a 85%. There were 20 questions on the quiz.
Answer:
She got 16/20 on the test
Step-by-step explanation:
Just divide 16/20 and the answer is 80%
Find the prime factor of the number 3825.
Answer:
the answer is 3×3×5×5×17=3825 use prime factorization