Answer:
36
Step-by-step explanation:
Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!
Austin just got hired for a new job and will make $80,000 in his first year. Austin
was told that he can expect to get raises of $1,500 every year going forward. How
much money in salary would Austin make in his 19th year working at this job? Round
to the nearest tenth (if necessary).
Answer:
$107,000
Step-by-step explanation:
Austin's salary in his 19th year will include his base pay and 18 raises:
$80,000 + 18×$1500 = $107,000
Austin's salary in his 19th year would be $107,000.
What number is 1/100 of the value of 2.6
Answer:
0.026
Step-by-step explanation:
The number gotten from 1/100 of the value of 2.6 is; 0.026
Decimals and Fractions
We want to find 1/100 of the value of 2.6. This means that we will multiply 2.6 by 1/100.
⇒ 2.6 × 1/100
Multiply both numerator and denominator by 10 to get;
26/1000
Now, when we divide 26 by 1000, we will get a decimal which is; 0.026
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Please answer this question
Answer:
B
Step-by-step explanation:
A- 2/15 + 1/3 = 7/15-0.46
B- 6/7-1/3=11/21-0.52
Answer: B is closer to 1/2
Step-by-step explanation:
I hope the explanation in the diagram helps
What is the volume of the cylinder? Express the answer in terms of .
d = 8 cm
h = 18 cm
Recall the formula V = 2h
The volume of the cylinder is,
⇒ Volume = 904.32 cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Height of cylinder = 18 cm
Diameter of cylinder = 8 cm
Hence, Radius of cylinder = 4 cm
Now, We know that;
The volume of the cylinder is,
⇒ Volume = πr²h
Substitute the given values, we get;
⇒ Volume = 3.14 × 4² × 18
⇒ Volume = 904.32 cm³
Thus, The volume of the cylinder is,
⇒ Volume = 904.32 cm³
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Elsa saving money to buy a game so far she had saved $36 which is 3/4 of the total cost of the game how much does the game cost
Answer:
$48
Step-by-step explanation:
To figure out how much the game costs in total, we first need to divide $36 by 3 (3 is the numerator).
36 / 3 = 12
The number 12 is how much each quarter is worth as shown below.
1/4 = 12
2/4 = 24
3/4 = 36
4/4 = ?
To find the answer, all we do is add 12 to 36.
12 + 36 = $48
Answer:
$48
Step-by-step explanation:
Let x represent the cost of the game
$36 = 3/4 x
Divide both sides by 3/4
$36/3/4 = x
$36 *4 / 3 = x
$48 = x
Therefore, the game costs $48
Colton has a 1/20 probability of winning the race. Logan has a 15% probability of winning. Who has the greater chance of winning?
A Colton
B Logan
C They have an equal chance
Answer:
Logan has the greater probability of winning
Step-by-step explanation:
Colton=1/20
=0.05
So the probability of Colton is 0.05
Logan=15%
=15/100
=0.15
So the probability of Logan is 0.15
When comparing the two,it was observed that the Logan has greater probability of winning
The water slide is 130 meters from the top to bottom. The vertical height of the slide is 50 meters. What is the angle of elevation of the slide?
Answer:
See the attachment.
Set your calculator to degree mode.
[tex] \sin( \alpha ) = \frac{50}{130} [/tex]
[tex] \alpha = { \sin }^{ - 1} \frac{5}{13} = about \: 22.62°[/tex]
A waiter at a restaurant receives a 15% tip on a $25 bill. At the same restaurant, a waitress receives a 20% tip on a $20 bill.
Who gets the larger tip? By how much?
Answer:
The waitress who received 20% of $20 gets a larger tip.
The waitress who received 20% of $20 gets $4.00 tip, and the waitress who received 15% of $25 gets a tip of $3.75
Step-by-step explanation:
To get 15% of 25, you multiply it by .15, giving you your answer.
To get 20% of 20, you multiple it by .20, giving you your answer.
Answer:
the second waiter gets a larger tip by $0.25
Step-by-step explanation:
15% of $25 is $3.75
the first waiter only got a $3.75 tip.
20% of $20 is $4
the second waiter got a $4 tip
the second waiter got $0.25 more than the first.
i hope this helps! :)
Find the area of a circle with a radius of 3.2 centimeters. Use the pi key and round to nearest tenth.
Find the value of t in the equation t + 5 + 3t = 1
--------------------------------------------------------
t + 5 + 3t = 1
Group like terms:
t+3t+5= 1
Add similar elements:
4t+5=1
Subtract 5 from both sides:
4t+5-5 = 1-5
Simplify:
4t= -4
Divide both sides by 4:
4t/4 = -4/4
Simplify:
t= -1
Your Answer Is t= -1
plz mark me as brainliest :)
what is the answer ?????????
Answer:
Option C, (2, 6)
Step-by-step explanation:
Step 1: Find the solution
They intersect at the x-value 2 and the y-value 6.
So... the answer is (2, 6)
Answer: Option C, (2, 6)
Find the surface area.
7 cm
7 cm
15 cm
7 cm
Expand the following expression.
5.2(23 - 3.93x)
A
28.2 - 9.13x
B.
20.436 + 119.6x
C.
119.6x - 20.436
D.
119.6 - 20.43
Answer:
119.6 - 20.436x
Step-by-step explanation:
[tex]5.2(23 - 3.93x) \\ = 5.2 \times 23 - 5.2 \times 3.93x \\ = 119.6 - 20.436x \\ [/tex]
Can you help me out plzzz
Answer:
x=31.6
Im not sure since i have not taken a trig course yet, but i know the basics:
Tangent is opposite over adjacent, and in respect to this angle, (31 degrees) the opposite side is 19 and adjacent is x.
Tan(31) = 19/x
Solve for x...use a calculator to find tan(31)
(Credit to google for the pic)
finding the area of a square is the same as finding the area of rectangle,
That is true, you multiply the length by the width in a rectangle, and you do the same in a square.
choose the function whose graph is given by:
Answer:
A
Step-by-step explanation:
I put the equation into a GeoGebra graphing calculator, and y=sin(x-2) matches the graph.
The function represents the given graph is y = sin(x - 2).
What is the translating a graph?"Translating a graph means that moving it along the x or y axis by certain units."
Translating a function y = f(x):1) For a function of the type y = f(x) + k
If k > 0, the graph of y = f(x) will translate up(along positive Y-axis) by k units.
If k < 0, the graph of y = f(x) will translate down(along negative Y-axis) by k units.
2) For a function of the type y = f(x + m)
If m > 0, the graph of y = f(x) will translate left(along negative X-axis) by m units.
If m < 0, the graph of y = f(x) will translate right(along positive X-axis) by m units.
From given example,
The function represents the given graph is y = sin(x - 2).
This means, the function y = sin(x) is translated right by angle 2 (degrees / radians) as shown in the following figure.
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By what percent will the fraction change if its numerator is
increased by 25% and its denominator is increased by 20%?
Answer:
The fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is
increased by 25% and its denominator is increased by 20%.
Step-by-step explanation:
Let 'n' be the numeratorLet 'd' be the denominatorAs
[tex]100\%\mathrm{\:in\:fractions}=\:1[/tex]
[tex]25\%\mathrm{\:in\:fractions}=\:\frac{1}{4}[/tex]
[tex]20\%\mathrm{\:in\:fractions}=\frac{1}{5}[/tex]
so
Increase in 25% means
[tex]100\%\:+25\%\:=\frac{5}{4}[/tex]
Increase in 20% means
[tex]100\%\:+20\%\:=\frac{6}{5}[/tex]
Thus the fraction becomes
[tex]\:\frac{\frac{5}{4}\times \:n}{\frac{6}{5}\times \:d}[/tex]
[tex]=\frac{\frac{5}{4}n}{\frac{6d}{5}}[/tex]
[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times \:d}{b\times \:c}[/tex]
[tex]=\frac{5n\times \:5}{4\times \:6d}[/tex]
[tex]=\frac{25n}{24d}[/tex]
[tex]=1.0417\left(\frac{n}{d}\right)[/tex]
[tex]=1\left(\frac{n}{d}\right)+0.047\left(\frac{n}{d}\right)[/tex]
As
[tex]0.047=4.7\:\%[/tex]
Therefore, the fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is
increased by 25% and its denominator is increased by 20%.
(8x^2+22x+19) divided by (2x+3)
find the quotient and remainder
Quotient=4x+5
Remainder=4
hope this will help u..
Answer: quotient =4x+5
remainder =4
Step-by-step explanation:
Looking at the diagram below
Quotient =4x+5
Remainder =4
Which of the following equations represents a line that is parallel to the line that passes through the points below?
(-3,6) (9,2)
Answer:
See below
Step-by-step explanation:
Two lines are parallel if they have the same slope but different y-intercepts. So the slope that can be formed given the points (-3,6) and (9,2) is (9-(-3))/(2-6)=12/-4=-3
With y=-3x+b, we need b, which can be found by plugging in either point:
2=-3(9)+b
2=-27+b
29=b
So the y-intercept therefore cannot be 29 but it can be any real number.
So the equation y=-3x+2 works, y=-3x+3, y=-3x+4, and so on....
In January, Toby's bookstore sold books. In February, he sold 20% more books. How many books did he sell in February?
Answer:
For me to answer the question you will have to put another number
Melanie knew that the perimeter of the soccer field was 1/6 miles.Her goal was to walk 2 miles while watching her sisters game.If she walked around the field 13 times,did she reach her goal?Tell how
Answer:
Yes, she has reached her goal.
Step-by-step explanation:
I know this because you have to multiply 1/6 by 13 to get 13/6, which is equal to 2 1/6. Since 2 1/6 is greater than 2, she has reached her goal.
Equation: 1/6×13= 2 1/6
Comparing statement: 2 < 2 1/6
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
Answer:
see attached
Step-by-step explanation:
Each cube root or square root lies:
∛800: Between 2 and 3
∛101: Between 4 and 5
∛90: Between 4 and 5
∛20: Between 2 and 3
√7: Between 2 and 3
√20: Between 4 and 5
√90: Between 9 and 10
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Here are the steps to find whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10:
Start with the first cube root or square root, ∛800.
Estimate the value of the root.
For ∛800, we can estimate that it's between 8 and 9, since 8 cubed is 512 and 9 cubed is 729.
So, ∛800 must be somewhere in between.
Determine which range the estimated value falls into.
Since 8 is between 2 and 3, ∛800 must also be between 2 and 3.
Repeat the process for the remaining cube roots and square roots, using the same ranges.
Here are the results:
∛800: Between 2 and 3
∛101: Between 4 and 5
∛90: Between 4 and 5
∛20: Between 2 and 3
√7: Between 2 and 3
√20: Between 4 and 5
√90: Between 9 and 10
Thus,
Four of the roots lie between 2 and 3, two lies between 4 and 5, and one lies between 9 and 10.
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a coin is tossed and an eight sided die numbered 1 through 8 is rolled. find the probability of tossing a head and then rolling a number greater than 4
Answer:
The answer is 4.
Step-by-step explanation:
There are 16 possible outcomes of this, and of those, only 4 of them result in the coin landing on heads and landing on a number that is greater than 4.
Rewrite the quadratic function f(x)=-3(x-4)^2+5 in standard form
Answer:
f(x) = 3x² - 24x + 53
Step-by-step explanation:
Given
f(x) = 3(x - 4)² + 5 ← expand the factor using FOIL
= 3(x² - 8x + 16) + 5 ← distribute by 3 and simplify
= 3x² - 24x + 48 + 5
= 3x² - 24x + 53 ← in standard form
Write whether the following pair of linear
equations is consistent or not: x+y=14 & X-y=4
Answer:
The linear equation is consistent
Step-by-step explanation:
X+y=14....(1)
X-y=4....(2)
Add (1) and (2)
2x=28
Divide both sides by 2
x=14
Substitute the value for x into (1)
14+y=14
Substrate 14 from both sides
y=0
So the linear equation is consistent
NEED HELP BRANLIEST TO FIRST ANSWER
Compare the quadratic function represented by the table to the function represented by the graph to determine which statement is true.
A) The tabled function has a lower minimum value.
B) The tabled function has a greater maximum value.
C) The graphed function has a lower minimum value.
D) The graphed function has a greater maximum value.
x f(x)
−4 −15
−2 −3
0 1
2 −3
4 −15
5 −24
Answer:
B
Step-by-step explanation:
Helpp!!!!
Evaluate (x+5)^2+8 for x=-2
A. 12
B. 33
C. 17
D. 57
Based on the diagram, what is the value of x?
Answer:
is it 57
Step-by-step explanation:
Answer:
x = 57
Step-by-step explanation:
x and 57° are vertical angles and congruent, thus
x = 57
18) Write an equation of the line that is perpendicular to the line y = 4x - 10 that passes through the point (-16, 2). A) y = - 1 4 x - 2 B) y = -4x + 6 C) y = - 1 4 x + 2 D) y = 4x + 2
The equation of the line that is perpendicular to y = 4x - 10 and passes through the point (-16, 2) is y = -1/4x - 2, which is option A.
Explanation:The student is asking for the equation of a line that is perpendicular to the given line y = 4x - 10 and passes through the point (-16, 2). The slope of the given line is 4, and the slope of a line perpendicular to it will be the negative reciprocal, which is -1/4. Using the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept, we substitute the slope -1/4 and the point (-16, 2) to find b.
Plugging in the point, we get:
2 = (-1/4)(-16) + b
2 = 4 + b
b = 2 - 4
b = -2
So, the equation of the line is y = (-1/4)x - 2. The correct answer is option A) y = -1/4x - 2.
To find the line perpendicular to ( y = 4x - 10 ) passing through (-16, 2), its equation is[tex]\( y = -\frac{1}{4}x - 2 \)[/tex], option A.
The correct option is a)[tex]\(y = -\frac{1}{4}x - 2\).[/tex]
To find the equation of the line that is perpendicular to the given line (y = 4x - 10), we first need to determine the slope of the given line, because perpendicular lines have slopes that are negative reciprocals of each other.
The given line (y = 4x - 10) is in the slope-intercept form (y = mx + b), where (m) is the slope. In this case, the slope of the given line is (m = 4).
The negative reciprocal of (4) is [tex]\(-\frac{1}{4}\)[/tex]. This will be the slope of the perpendicular line.
Now, we use the point-slope form of a line, which is [tex]\(y - y_1 = m(x - x_1)\),[/tex]where [tex]\((x_1, y_1)\)[/tex] is a point on the line and \(m\) is the slope.
Given the point ((-16, 2)), we substitute (x_1 = -16) and (y_1 = 2) into the point-slope form and the slope[tex]\(m = -\frac{1}{4}\):[/tex]
[tex]\[ y - 2 = -\frac{1}{4}(x - (-16)) \][/tex]
[tex]\[ y - 2 = -\frac{1}{4}(x + 16) \][/tex]
Now, we can simplify and rewrite this equation in slope-intercept form (y = mx + b):
[tex]\[ y - 2 = -\frac{1}{4}x - 4 \][/tex]
[tex]\[ y = -\frac{1}{4}x - 4 + 2 \][/tex]
[tex]\[ y = -\frac{1}{4}x - 2 \][/tex]
So, the equation of the line that is perpendicular to (y = 4x - 10) and passes through the point ((-16, 2)) is option A) [tex]\(y = -\frac{1}{4}x - 2\).[/tex]
Factor. 3ab-6b^2-2bc+ac
(Thank you, please explain all steps)
Answer:
(3b + c)(a - 2b)
Step-by-step explanation:
Given
3ab - 6b² - 2bc + ac ← Rearranging
= 3ab + ac - 6b² - 2bc (factor the first/second and third/fourth terms )
= a(3b + c) - 2b(3b + c) ← factor out (3b + c) from each term
= (3b + c)(a - 2b)
Answer:
(a-2b)(3b-c)
Step-by-step explanation:
3ab-6b^2-2bc+ac
Let's rearrange
3ab+ac-6b^2-2bc
Let's factorise
a(3b+c)-2b(3b+c)
(a-2b)(3b+c)
Since the answer cannot be solved further
The answer is (a-2b)(3b+c)