Answer:
27
Step-by-step explanation:
The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.
Pythagorean theorem : a² + b² = c²
Where a and b = legs and c = hypotenuse ( longest side )
We are given the length of the hypotenuse as well as a leg and we need to find the other leg.
Hypotenuse (c) = 45
Leg (a) = 36
To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b
Recall the Pythagorean theorem : a² + b² = c²
a = 36 and c = 45
(36)² + b² = (45)²
simplify exponents : 36² = 1296 and 45² = 2025
1296 + b² = 2025
subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729
b² = 729
take the square root of both sides: √(b)² = b and √729 = 27
We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27
Please help. Question a and b
Bob is buying groceries at the store. The price before tax is $57, and after tax the total is $62.91. What is the sales tax applied to the groceries? Round to the nearest hundredth.
If a cube has a volume of 1 cubic unit, how long is one of its edges?
Answer:
Step-by-step explanation:
If the volume of a cube is 64 cubic inches, Possible Answers: 2 in. 4 in. 9 in. 6 in. 8 in.
Help please I’ll give the highest point ! :)))) tysm I need it done by 10:20
Answer:
hope it helps you.........
Answer:
10/14 - 7/14 = 3/14 :D
Step-by-step explanation:
you have to find the common denominator, in this case its 14. then, whatever number you multiplied the denominator by, you have to multiply the numerator by. so, 5/7x2= 10/14, and 1/2x7 = 7/14, then its just 10-7 which equals 3
Ms. Jackson wants to rent for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. Jackson drives during the week.
c = cost
w = weekly fee
Equation:
c = 0.30m + w
Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 miles. Write and solve an equation to find the number of days veronica traveled.
Answer:
562 = 85x +52
x is the number of days
Veronica traveled for 7 days
Step-by-step explanation:
562 = 85x + 52
510 = 85x Subtract 52 on both sides
6 = x Divide by 85 to isolate x
Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.
Which graph represents a system of equation within solution?
Answer:
B
Step-by-step explanation:
In B, the lines are parallel meaning they will never intersect and have no solution. However, in C you can tell that the lines will intersect eventually so it does have a solution.
Answer:
B
Step-by-step explanation:
From the picture I can see you crossed out A and D, which only leaves B and C. If we extrapolate the graph at C the lines are eventually going to intersect, whereas in B the lines are going in parallel against each other, meaning there will never be an intersection between the two. So B would represent a system of equations with no solutions.
A line passes through (3,7) and (5,9). Write the equation of the
line in slope-intercept form.
Answer:
y = x+4
Step-by-step explanation:
First, we find the slope
m = (y2-y1)/(x2-x1)
m = ( 9-7)/(5-3)
= 2/2
=1
Slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Using one of the points
7 = 1*3+b
7 = 3+b
4=b
y = x+4
Can someone pls help me with this question?
Use the image below
Find the slope of the line in simplest terms.
Options:
1. 8
2. 4
3. 2
4. 1/2
Answer:
I think your anwser would be 4 im not sure
Step-by-step explanation:
find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?
=> 6- 4x +6x -8x +6 = 0
=> 12 -6x = 0
=> 6x = 12
=> x = 2
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Pls hurry
Answer:
8 potatoes for $2.56 is the better deal.
Step-by-step explanation:
unit price formula; cost ÷ quantity
2.56 ÷ 8 = $0.32
4.32 ÷ 10 = 0.432
round to the nearest hundredth
= $0.43
compare the answers
Answe 42.2
Step-by-step explanation:
The other vender because he got 42.2 dollar other got 20.48
Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5
meters and an area of 6 square meters. Which equation and solution correctly represent
2, the length, in meters, of the rectangular garden bed?
Help
Answer:
4
Step-by-step explanation:
6 divided by x equals the width 1.5
or
x times 1.5 equals the area 6
then divide the 6 by 1.5 equals 4
I Hope I Helped YOU :)
HELPPP
I NEED TO CHECK OFF ALL THE FUNCTIONS PLEASE HELP ME
Answer:
I'm not sure but I think it's everything outside of circular, graphic and reflective. I'm only unsure with the last one but since it's 4 point I would assume it's 4 answers.
6>2k+4
WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
is it 1?
Step-by-step explanation:
Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.
Let d represent the distance Elizabeth drove.
Which inequality represents this situation?
Answer:
−5.8+d>43/4
Step-by-step explanation:
The inequality represents the situation as −5.8+d>434.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given that Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.
The inequality will be written as the algebraic sum of the distance d and 5.8 is greater than the 434 miles.
Inequality: -5.8 > 434
To know more about inequality follow
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Graph the solution to this inequality on the number line.
-16 > -4p
0
-10
-8
-6
-4.
-2
2.
4
6
CO
CO
8
10
0
Answer: Graph is below
=============================================================
Explanation:
We divide both sides by -4 to isolate p. This will flip the inequality sign.
-16 > -4p
-16/(-4) < -4p/(-4)
4 < p
p > 4
The graph has an open hole at 4 and shading to the right. See below.
The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The inequality is,
⇒ - 16 > - 4p
Now, Solve the inequality as;
⇒ - 16 > - 4p
Multiply by -1;
⇒ 16 < 4p
Divide by 4;
⇒ 4 < p
Thus, The solution of the inequality is,
⇒ 4 < p
And, This is shown in number line.
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How do you write 6.6 × 100 in standard form?
Answer:
660
Step-by-step explanation:
Move the decimal point on the 6.6 right by 2 spaces, and left 2 spaces on the 100:
From 6.6 × 100
to 660. × 1.00
660
I’m stuck on this question, can anybody help?
Answer: 1/4
Step-by-step explanation:
Noon is 12:00
Supposing that each number is one hour
15 minutes = 1/4 hrs
And therefore 12:15 PM is represented as 1/4
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
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A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).
The location of the treasure on the treasure map is (b) (7.6,8.8)
The ratio is given as:
[tex]m : n = 5 : 9[/tex]
The coordinates of the rock and the tree are:
[tex]Rock =(3,2)[/tex]
[tex]Tree = (16,21)[/tex]
The x and y coordinates of the location of the treasure are:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]
[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]
[tex](x,y) = (7.6,8.8)[/tex]
Hence, the location of the treasure is (b) (7.6,8.8)
Read more about line segment ratios at:
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someone please help me
Answer:
Area = 6cm^2
Step-by-step explanation:
Pythagorean Theorem = [tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]a^{2} + 3^{2} = 5^{2}[/tex]
or
[tex]a^{2} + 9 = 25[/tex]
Subtract 9 from 25.
25 - 9 = 16
Square root 16 to get 4.
a = 4
Now to find the area.
Area = 1/2(3*4)
12/2 = 6
how do you solve this question
Let the ceilings be a & b
and the distance from one corner of the ceiling to the opposite be c
then using Pythagoras theorem
[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]
hence ,c .°. the distance from one corner of the ceiling to the opposite is 20
Would the point (4, -2) fall on the graph of y = -0.5x?
No
Yes
Functions can be represented on graphs and vice versa.
It is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex] i.e. the statement is Yes
The function of the graph is given as:
[tex]y = -0.5x[/tex]
To determine if the point (4,-2) will fall on the graph, we simply substitute 4 for x in the given function.
[tex]y = -0.5\times 4[/tex]
[tex]y = -2[/tex]
The y value for (4,-2) is -2, and the calculated y value for [tex]y = -0.5x[/tex] when x = 4 is -2.
Hence, it is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex]
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There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER
Answer:
71/120
Step-by-step explanation:
Plzzzz help mee plzzzzzzz
Answer:
A. 20%
Step-by-step explanation:
Hope it helps!
HELP ASAP NO LINKS
Amir invested money in an account where interest is compounded every year. He made no withdrawals or deposits.
The function A(t) = 575(1 + 0.06) represents the amount of money in the account after years. How much money did Amir originally invest?
O A. $646.07
OB. $609.50
OC. $575.00
O D. $500.00
Answer: the answer is B which is $609.50
Step-by-step explanation:
I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50
Answer:
What that other person said
The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?
Answer:
blue or maybe green try purple
If someone can ride a skateboard 2 miles in 10 minutes how many miles can still ride the skateboard and 1.5 miles
Answer:
7 and a half minutes. have a good one.
Write and solve an equation for the following:
Answer:
x = 12
Step-by-step explanation:
The measures of ∠XYW and ∠WYZ would equal m∠XYZ.
[tex]3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}[/tex]
Hope this helps.
Find the area of the shape shown below.
Answer:
A = 15u²
Step-by-step explanation:
Area of a Trapezoid Formula:
[tex]\frac{h}{2}*(b_1+b_2)[/tex]
Plug in our values (h = 3, b1 = 7, b2 = 3)
[tex]\frac{3}{2}*(7+3)[/tex]
Now we evaluate
[tex]\frac{3}{2}*(10)[/tex]
[tex]\frac{30}{2} = 15[/tex]