7. The ratio of the base to height of a triangle is 3:5. If the area of this triangle is 30, find the lengths of the base and height.
Answer:
Base= 6
Height= 10
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Let the base be 3x and the height be 5x.
Given that the area is 30,
½ ×base ×height= 30
½(3x)(5x)= 30
Multiply both sides by 2:
3x(5x)= 60
15x²= 60
x²= 60 ÷15
x²= 4
Square root both sides:
[tex]x = \sqrt{4} [/tex]
x= 2
(reject x= -2 since length has a positive value)
Length of base
= 3x
= 3(2)
= 6
Length of height
= 5x
= 5(2)
= 10
Hello, please be honest, is this correct?
Answer:
Yes that is correct you got keep up good work
needing help with fraction problem
4/11 - 10/8 equals?
having trouble breaking it down to get the answer
Answer:
71/44
Step-by-step explanation:
Here the LCD is the product of the two denominators given: 11*8 = 88.
We rewrite 4/11 as 32/88 and 10/8 as 110/88. Now the denominators are the same.
Combine 32/88 and 110/88. We get the sum 142/88, which reduces to 71/44.
Answer:
-39/44.
Step-by-step explanation:
We need to find the lowest common multiple of 11 and 8.
This is 88.
Now to convert the 2 fractions to denominator 88 we multiply first by
8/8 and the second by 11/11:
4/11 - 10/8
= 32/88 - 110/88
= -78/88
= -39/44
what is the total surface area of the prism in square inches
Answer:
Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.
Homework help!!!!!!!
Answer:
r = -9
Step-by-step explanation:
the less the negative number is the more it is .
I think of a number Then multiply it by 3 then add 4 then divide by 4 my final answer is 3 less than the number is the number i thought of the beginning.
Write it as an equation and solve.
HELP!
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.
9514 1404 393
Answer:
60x +15000 ≥ 18x + 57000≥ 1000 cyclistsStep-by-step explanation:
We want ...
revenue ≥ cost + desired profit
60x +15000 ≥ 18x + 57000 . . . . . . an inequalty
42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000
x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42
The group needs at least 1000 cyclists to raise at least $57,000.
3 to the power of 1/7
Answer: 0.42857142857
Step-by-step explanation:
What percent of the hours were billed by Jon, Roy, or Dean?
Write your answer using a percent
sign (%).
Answer:
10%
Step-by-step explanation:
please tell me if im right or wrong
Use the graph below to find the indicated expression: f(3)-f(-3)
Answer:
f×3-f×(-3)
3f+3f
solution:
6f
Step-by-step explanation:
hope it's can help
Explain why there is not enough information to state that CP is the perpendicular bisector of AB.
Answer:
First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.
Step-by-step explanation:
A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.
-kiniwih426
In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming? In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming?
The number of student taking math is 37 while the number of students taking programming is 74
Universal set = 97
let
The number taking math = x
The number taking programming = 2x
The number of students that take exactly one subject = 53
The student taking neither of the subject = 15
The number of students taking only maths will be
x - n(m ∩ p)The number of students taking only programming will be
2x - n(m ∩ p)let
n(m ∩ p) = y
Therefore,
x - y + 2x - y = 53
3x - 2y = 53
Also,
97 = x + 2x - y + 15
3x - y = 82
Therefore,
3x - 2y = 53
3x - y = 82
-y -(-2y) = 82 - 53
y = 29
3x - 29 = 82
3x = 82 + 29
3x = 111
x = 111/3
x = 37
Finally,
number of students taking maths = 37
number of student taking programming = 37×2 = 74
Check similar problem on sets: https://brainly.com/question/16132324?referrer=searchResults
is -5.25 greater than -3
Answer:
False -5.25 is < (less than) -3
Step-by-step explanation:
what is the length of segment XZ?
192
12
8
144
Answer:
12 is the length of XZStep-by-step explanation:
Pythagorean Theorem Formula: a² + b² = hypotenuse²
x² + 5² = 13²
x² + 25 = 169
x² + 25 - 25 = 169 - 25 (subtract 25 in both sides)
x² = 169 - 25
√x² = √144
x = 12
Pleas help me out here.
Answer:
A and E
Step-by-step explanation:
The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).
It is not considered a function because it has the same input for every given output. This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.
The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values. Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.
Because it is not a function, Options B, C, and D are invalid answers.
Hence, the correct answers are Options A and E.
Estimate and then solve 6,699 ÷ 72 = ___.
92 r 4
93 r 3
93 r 4
94 r 3
Answer:
It would be 93 remainder 3/the second one.
What single percentage change is equivalent to a 14% increase followed by a 11% decrease?
Options:
4.54% decrease
26.54% increase
4.54% increase
1.46% decrease
26.54% decrease
1.46% increase
Answer:
1.46%
Step-by-step explanation:
Pretend you have a number as a test dummy. We'll go with 100 for simplicity. A 14% increase to 100 would be 114. Then we can decrease 114 by 11%. We can find 11% of 114 with an equation like so: x/114 = 11/100. We can then cross multiply to get this" 100x = 1254, which can be simplified to x=12.54. Now, we can subtract 12.54 from 114, which will get us 101.46. Because percentage is based on 100, we can simply subtract 100 from 101.46, which gives us 1.46. So, the answer is 1.46%.
A number that has more than two factors is a
Composite number? I’m not sure if that’s what you’re working on but it’s a true statement.
758 rounded of to the nearest hundred
Answer:
800
Step-by-step explanation:
Hope this helps
Answer:
800, if it's higher than 50 you can round it to the next hundred
the ratio 4:2 is equivalent to 2
To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is
4 : 2 .
But this ratio can be simplified in the same way that two fractions can be simplified. We just
cancel by a common factor. So
4 : 2 = 2 : 1 .
Identify the angles that each have a measure of 60\degree
Answer:
parrelel
Step-by-step explanation:
Helpppppppp meeeeeeee
Answer:
Step-by-step explanation:
solution 1:
570 not man = 15% (cause 100% - 85%)
15% = 570
100% = w (for "whole package")
15w = 100 * 570
15w = 57000
w = 57000 / 15
w = 3800
solution 2:
15% = 570
85 = m (for "men)
15m = 570 * 85
15m = 48450
m = 48450 / 15
m = 3230
100% = 85% + 15%
100% = b (for "buch of people")
b = 3230 + 570
b = 3800
A baker packed 24 cupcakes into each box. After he had packed 37 boxes of cupcakes, there were 248 cupcakes left. How many cupcakes were there altogether?
Hope this helps have a great day!!!!!
PLS HURRY WILL GIVE BRAINLIEST & 20 PTSS!!!!
Answer:
(0,2) x (3,-2)
Step-by-step explanation:
Sorry its blurry but please hurry!!!!!!! Answer 9 and 10 please!!!!
Answer:
9. 31/2 or 15.5( I think that's the answer)
10. B
Step-by-step explanation:
right please no link or bot
Answer:
3^18
Step-by-step explanation:
Hope it helps
Answer:
3^3
Step-by-step explanation:
How many combinations are possible? Assume the items are distinct.
10 items chosen 10 at a time
Choose the pythagorian triplet with the smallest number as 10.
a) 24, 26, 10
b) 10, 6, 8
c) 10, 16, 18
d) 10, 18, 20
Answer:
b
Step-by-step explanation:
pls give brainliest hope helpful
Find the x-intercept and y-intercept of the line and then graph the equation
-4x+2y=-4
Answer:
x-intercept is 1 and y-intersect is -2
Step-by-step explanation:
To find the x-intercept let y = 0 and to find the y-intercept let x = 0 and solve each equation.
-4x + 2y = -4 Let x = 0 and solve for y
-4(0) +2y = -4
0 + 2y = -4
2y = -4
y = -4/2 ; y = -2 y- intercept is -2
Let y = o and solve
-4x + 2y = -4
-4x + 2(0) = -4
-4x + 0 = -4
-4x = -4
x = -4/-4 ; x = 1 x-intercept is 1
Dùng kí hiệu toán học để viết mệnh đề sau:
Định nghĩa : tam giác ABC gọi là tam giác cân nếu có hai góc bằng nhau
Answer:
g vs lhnkdeugyvsvjxbd shall