The base of a triangle is 6 meters longer than the height of the triangle. If the area of the triangle is 56
square meters, what are the base and height of the triangle?
The height is
meters
The base is
meters
PLEASE HELP FOR EXAM
Answer:
Height = 8
Base = 14
Step-by-step explanation:
Base=x+6
Height=x
Area of a triangle is 1/2bh.
1/2·x·(x+6)=56
x²+6x=112
x²+6x-112=0
(x+14)(x-8)=0
x=-14 or x=8
Since x can’t equal a negative number, it must be 8.
Height=x = 8
Base=x+6 = 8+6 = 14
I need help with this question
Answer:
[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]
Option B: 20.9°
Pat and Rick are sales associates at a store. Pat makes 2 sales for every 3 customers that he helps. Rick makes 3 sales for every 4 customers that he helps.
Pat
Sales Customers
2 3
4
6
8
Rick
Sales Customers
3 4
6
9
12
Complete the ratio tables for Pat and Rick by entering the missing value in each box.
(4,
)
(6,
)
(8,
)
(6,
)
(9,
)
(12,
)
Answer:
Step-by-step explanation:
need help please someone
Answer:
the answer for that will be 471.24
2x1= how much answer
Answer:
2X1 = 2
Step-by-step explanation:
When multiplying a number times 1 it Would stay the same as the first number was before 1 number over that and It would end up equaling an actual number like for example 2x2 = 4 confused on how you got 2x1 as 2? Well simple let me explain it more with other equations 7x1 = 7 4x1 = 4 20x1 = 20 you see?
will give brainliest and 50 points
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
when you divide -8/2=-4 and 2/2=1
-4<1
when you divide by a negative number your sign changes
4>-1
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.
Answer:
see below
Step-by-step explanation:
When multiplying or dividing an inequality by a positive, the inequality remains the same direction
3x < 6
Divide by 3
3x/3 < 6/3
x <2
When multiplying or dividing an inequality by a negative, the inequality changes direction
-3x < 6
-3x/ -3 > 6/-3
x > -2
There are 15 boys and 16 girls in Gabriel’s class. One person is chosen at random. What is the probability that the person chosen to hand out books is a girl?
Answer:
16/31
Step-by-step explanation:
A computer cost $800. It loses 1/4 of its value every year after it is purchased. complete the table to show the value of the computer at the listed times. Write an equation representing the values, v, of the computer, years after it is purchased. Used your equation to find v when t is 5. What does this value of v mean?
Answer:
The value after 0 years = $ 800
The value after 1 year = $600
The value after 2 years = $450
The value after 3 years = $337.5
The value after n years = computer cost at (n-1) year -
Step-by-step explanation:
he cost of computer = $ 800It losed 1/4th of value every year.The value of computer after 0 years = cost of computer = $ 800The value after 1 year = 800 - ( ) = $600The value after 2 years = 600 - ( ) = $450The value after 3 years = 450 - ( ) = $337.5The value after n years = computer cost at (n-1) year -We can conclude that -
the equation representing the value {v} of the computer, years after it is purchased as → v{x} = 800(1/4)ˣ.For {x} = 5, the value of {v} would be 0.39.What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that a computer cost $800. It loses 1/4 of its value every year after it is purchased.
We can write the equation representing the value {v} of the computer,
years after it is purchased as -
v{x} = 800(1/4)ˣ
For {x} = 5, we can write -
v{5} = 400(1/4)⁵
v{5} = 400 x 0.0009765625
v{5} = 0.39
Therefore, we can conclude that -
the equation representing the value {v} of the computer, years after it is purchased as → v{x} = 800(1/4)ˣ.For {x} = 5, the value of {v} would be 0.39.To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ2
The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?
A.
F(x) = –x2 – 3
B.
F(x) = x2 – 3
C.
F(x) = –(x + 3)2
D.
F(x) = –(x – 3)2
Answer:
the answer is A
Step-by-step explanation:
The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?
The function that represents the situation is F(x) = -x² - 3.
The correct option is A.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The value of k can find the direction of shift:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Given that the parent function is g(x) = x².
To find the transformed function F(x):
The function's diagram is in the opposite direction.
That means the function is -x².
And the function is shifted 3 units down vertically.
From the definition the required function is,
F(x) = -x² - 3.
Therefore, F(x) = -x² - 3.
To learn more about the transformation on the graphs;
https://brainly.com/question/19040905
#SPJ7
Express 9 hours as a percentage of 3 days.
First, determine how many hours are in 3 days.
1 day = 24 hours
Answer:
24 x 2 = 48 plus 24 equal 72
Step-by-step explanation:
3 days equal 72-hour
Answer:
12.5%
Step-by-step explanation:
Total hour in 3 days =72
Total%= 9/72*100
100/8
12.5%
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFraction one-fourth EndFraction left-parenthesis x minus 12 right-parenthesis.(x – 12). What is the standard form of the equation for this line?
Given:
The line passes through the two points (–4, –3) and (12, 1).
The point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
To find:
The standard form of the equation for this line.
Solution:
The standard form of a line:
[tex]Ax+By=C[/tex]
The given point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
Multiply both sides by 4.
[tex]4(y-1)=(x-12)[/tex]
[tex]4y-4=x-12[/tex]
[tex]-4+12=x-4y[/tex]
[tex]8=x-4y[/tex]
Interchanging the sides, we get
[tex]x-4y=8[/tex]
Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].
y = one-fourth x minus three-fourths got it on the edge
Type CIRCLE WORD if the statement is correct. FALSE if its not.
2:A circle is an angle formed by two radii
3:Every diameter is also called a chord
4:A center is any point on the circle
5:The vertex of inscribed angles lies on the center of a circle
Please answer this now!! As soon as possible i have only 3 minutes!
Answer:
2 ONE IS TRUE AS IT HALF THE DISTANCE BETWEEN THE CIRCLE IS CALLED RADIUS AND FULL DISTANCEIS CALLED RADII WHICH MEANS PLULAR OF RADIUS
Step-by-step explanation:
find the answer of
31050×2³
Provide your steps!!
•••••••••••••••••••••••••
Answer:
946 ft²
Step-by-step explanation:
28 x 7 = 196
30 x 25 = 750
750 + 196 = 946 ft²
need this done in five omgg pls help 19 points
6.64mm² multiply the cm and get that
Are the equations 3x=−9 and 4x=−12 equivalent? Explain.
yes they are
Step-by-step explanation:
Yes they are equivalent. You get -3 when you try solving the actual equation.
ESTION 4
en: f(x)=2-x +1
Determine the coordinates of the y-intercepts
A driver has only 10minutes to cover a distance of kilometers at what speed must he drive in order to cover the distance on time A driver has only 10minutes to cover a distance of 5 kilometers at what speed must he drive in order to cover the distance on time
Answer:
30km/hr
Step-by-step explanation:
10min=0.166hr
v=5km/0.166hr
=30km/hr
Find the value of x.
Answer:
49°
Step-by-step explanation:
x= 90-41 = 49°
---------
Answer:
I would assume x = 49° since 49+41=90 and it appears to be a 90° angle
can someone please help me with this math question
Answer:
Step-by-step explanation:
A). From the table of relative frequencies,
Let the relative frequency of women who prefer mineral water = x
Total of relative frequencies of women preferring purified water and mineral water = 0.59
Since, Total of relative frequencies of women who prefer purified water and mineral water = Relative frequency of women preferring purified water + Relative frequency of women preferring mineral water
0.59 = 0.14 + x
x = 0.59 - 0.14
x = 0.45
B). Relative frequency of men who prefer mineral water = 0.13
Let the frequency of men who prefer mineral water = x
Since, relative frequency = [tex]\frac{\text{Frequency}}{\text{Total of frequencies}}[/tex]
0.13 = [tex]\frac{x}{200}[/tex]
x = 200 × 0.13
x = 26
Therefore, number of shoppers who are men and prefer mineral water = 26
Help plz:)))I’ll mark u Brainliest
Given :
Length of hypotenuse of triangle = 29 units
Base length of triangle = 20 units
Height of triangle = 21 units
To find:
Tan Z
Steps:
The Tan of any angle is equal to Opposite by the Adjacent of the angle.
Tan = [tex]\frac{opposite}{adjacent}[/tex]
[tex]Tan Z = \frac{YX}{ZY}[/tex]
[tex]Tan Z = \frac{20}{21}[/tex]
Therefore, Tan Z = [tex]\frac{20}{21}[/tex]
Happy to help :)
If u need any more help, feel free to ask
Add 3/10 + 1/6 enter your answer below as a fraction in lowest terms, using the slash ( / ) as the fraction bar.
Answer:
3/10 + 1/6 = 7/15
No files please........
√7(-8√10+√14)
-8√70+√98
-8√70+√49.2
-8√70+7√2
Just comment if you want to ask
Decrease £2123 by 8%
Give your answer rounded to 2 DP.
Answer:
1917 when reduced by 8 then rounded is 2020
Step-by-step explanation:
why are video games so overrated nowadays
Answer:
This statement........... can't be more wrong
Step-by-step explanation:
It's 2021, Corolla Virus is out there, most people stay indoors. And what is one of the most common things to do indoors? PLAY VG. So they aren't overrated, they have just become more popular.
Can someone help me with this.
Answer:
here I put this link its a calculator for volumes and stuff https://www.calculatorsoup.com/calculators/geometry-solids/volume.php
Step-by-step explanation:
hoped this helped
-45, -16,-9 ,7,33 least to greatest
Answer:
-45 -16 -9 7 33
The value of V-4 is not -2 because .
A.
(-2)2 -4
B.
22 -4
C.
(-4)2 -2
D.
42 -2
9514 1404 393
Answer:
A
Step-by-step explanation:
The correct choice is marked.
The square of the square root is the number being rooted. -2 is not the square root of -4 because it square (-2)² is a positive number, not equal to -4.
What is the solution to 13x+5=96
Answer:
x = 7
Step-by-step explanation:
13x + 5 = 96
Subtract 5 from both sides.
13x = 91
Divide both sides by 13.
x = 7
Find the value of x. Only need 7 and 9 answered.
Answer:
Step-by-step explanation
7.
[tex]\frac{6}{6+6} =\frac{8}{8+8} =\frac{7}{x} \\\frac{1}{2} =\frac{7}{x} \\x=7*2=14[/tex]
9.
[tex]\frac{x+1}{12} =\frac{x-1}{8} \\12x-12=8x+8\\12x-8x=8+12\\4x=20\\x=20/4=5[/tex]