A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the height of the building?
210 feet To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:
42feet/9.4 feet= 4.468
That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468= 210 feet.
HELP PLEASE
Please find the angle measure . Do not use the degree symbol.
Please classify as acute, obtuse, right, or straight . No capital letters please.
Answer:
acute
Step-by-step explanation:
Please help me I am confused- qwq
$162.50 because if you add the percentages together, you get 35%
If you subtract 35% off of 250, you get 162.50
The unit price of hot dogs is $0.50/hot dog. How much will 12 hot dogs cost?
Answer:
Price of 1 hotdog= $0.50
Price of 12 hotdogs=12x$0.50= $6.0
Hope it helps :)
12 hot dogs will cost $6
12*0.5=6
-5x + 3 = 8x + 9 – 3
[tex]\text {Hi There! The answer to your problem is}[/tex]
[tex]\fbox {x=-3/13}[/tex]
[tex]\text {Your 1st Step will be to Simplify the Equation}[/tex]
[tex]\text {-5x+3=8x+9+-3}[/tex]
[tex]\text {-5x+3=(8x)+(9+-3) (Combine Like Terms)}[/tex]
[tex]\text {-5x+3=8x+6}[/tex]
[tex]\text {The Next Step is to Subtract 8x}[/tex]
[tex]\text {-13x+3-3=6-3}[/tex]
[tex]\text {-13x=3}[/tex]
[tex]\text {The Final Step is to Divide by -13}[/tex]
[tex]\text {-13x/13=3/-13}[/tex]
[tex]\text {x=-3/13}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
7(1 - 2n) < 33 - n
solve the inequality
show work
Answer:
n > -2
Step-by-step explanation:
7(1 - 2n) < 33 - n
7 - 14n < 33 - n
Subtract 7
-14n < 26 - n
Add n
-13n < 26
Divide by -13
n > -2
Answer:
n > -2
Step-by-step explanation:
Distribution property:
7 - 14n < 33 - n
Bring n over:
7 - 13n < 33
Bring 7 over:
-13n < 26
n > -2
You deposit $6000 in an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?
Answer:
13,200
Step-by-step explanation:
6000/100=60
60x8=480
480x15=7,200
6,000+7,200=13,200
If the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.
What is compound interest?Compound interest is the interest calculated on the principal and the aggregate interest. It may be copounded annually,semi annually, monthly, bimonthly,etc.
How to calculate interest?We have been given that the deposit is $6000,rate is 8% which is compounded monthly.
So effective rate of interest will be 8/1200=0.0067.
n will be 15*12=180
The sum after 15 years=6000[tex](1+0.0067)^{180}[/tex]
S=6000[tex](1+0.0067)^{180}[/tex]
Take log both sides.
log S=log 6000[tex](1+0.0067)^{180}[/tex]
log S=log 6000+log [tex](1+0.0067)^{180}[/tex]
log S=log 6000+180 log (1.0067)
log S=3.7781+180*0.0029
log S=3.7781+0.522
log S=4.3001
S=AL (4.3001)
S=19957.218
Hence if the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.
Learn more about compound interest at https://brainly.com/question/24924853
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Let f(x) = 5x - 4 and g(x) = x^2- 1. Find (g•f)(0).
Answer:
[tex](g\cdot f)(0)=4[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=5x-4\text{ and } g(x)=x^2-1[/tex]
And we want to find:
[tex](g\cdot f)(0)[/tex]
This is the same as:
[tex]=g(0)\cdot f(0)[/tex]
So, find g(0) and f(0):
g(0):
Substitute 0 into g(x):
[tex]g(0)=(0)^2-1[/tex]
Square:
[tex]g(0)=0-1[/tex]
Subtract:
[tex]g(0)=-1[/tex]
And f(0):
Substitute 0 into f(x):
[tex]f(0)=5(0)-4[/tex]
Multiply:
[tex]f(0)=0-4[/tex]
Subtract:
[tex]f(0)=-4[/tex]
So, our equation is now:
[tex](g\cdot f)(0)=g(0)\cdot f(0)=(-1)\cdot(-4)[/tex]
Multiply:
[tex]=4[/tex]
So, our answer is 4.
And we're done!
which of these comparisons is correct?
A. -2 < -5
B. 0 > 2
C. 4 > -4
D. -6 < -5
please help ill mark branilest
I think it's the third choice :)) the one you currently have
what's the distance between (-14,-18) and (-25,-23)
Answer:
the answer is 12.08
Step-by-step explanation:
Use the distance between point formula
Approximately 2,094,800 people took a
vacation to a state park this year. 25
years ago 158,975 people vacationed to
state parks. Approximately how many
more people visited the park than 25
years ago?
Answer: 1935825
Step-by-step explanation:
Factor out gcf
16x5 – 12x3
Answer:
(16 and 5 = gcf of 1) 12 and 3 = gcf of 3
Step-by-step explanation:
divid both to find the answer
x-6y<-12 in slope intercept form
X-6y<-12 in slope intercept form is y > 1/6X + 2
60% of a class studied for the quiz. 70% of the class passed the quiz. If 12 people did not study for the quiz, how many students passed the quiz
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
¿Cuál de las siguientes fracciones algebraicas se puede reducir?
A.
8−x9−16x2
B.
5−x25−x2
C.
x2+4x−5x2−4
D.
3x2x2+8
if de = 6x , EF =4x, and df =10 what is DE
Answer: 6
Step-by-step explanation:
Given DE, EF and DF, we know that DE and EF make up DF. We add DE and EF and set it equal to DF.
6x+4x=10 [add]
10x=10 [divide both sides by 10]
x=1
Now that we know x=1, we can plug that into DE.
6(1)=6
Now, we know that DE is 6.
Gina has 2/3 pounds of apples. Jane has 3/5 pound of apples. Gina and Jane want to combine their apples to make an apple pie. The recipe calls for 1 1/2 pounds of apples. How many pounds of apples do they need for their pie? Show all work.
Answer:
Step-by-step explanation:
1. 3x5=15
2. 2x5=10 and 3x3=9
3 10/15 + 9/15= 19/15 or 1 and .3 so they need approx .2 more pounds
slope 5/6, passes through (12,4)
Answer:
y= 5/6x -6
Step-by-step explanation:
[tex]m =\frac{5}{6} \\(12,4)=(x_1,y_1)\\\\[/tex]
Substitute values into point slope form
[tex]y-y_1 =m(x-x_1)\\\\y - 4 = \frac{5}{6} (x-12)\\\\y-4 = \frac{5}{6} x -10\\\\y=\frac{5}{6} x -10+4\\\\y = \frac{5}{6} x -6[/tex]
The equation of the line that has a slope of 5/6 and passes through (12, 4) will be y = 5/6) x - 6.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is 5/6. Then the equation of the line will be
y = (5/6)x + c
The equation of the line is passing through (12, 4), then the value of c will be
4 = (5/6) 12 + c
4 = 10 + c
c = -6
Then the equation of the line will be y = (5/6)x - 6.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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[tex](8 + 4 + 3) + (6 + 5 + 11) = [/tex]
Answer:
= 37
Step-by-step explanation:
(8+4+3) + (6+5+11)
= 15 + 22
= 37
g(x)= 2x-4
f(x)= -3x-4
Find (g • f)(x)
Answer:
Step-by-step explanation:
(2x - 4)(-3x -4)
-6x^2 - 8x + 12x + 16
-6x^2 + 4x + 16
What is £36 in the ratio 2:1:1
Answer:
$18, $9, $9
Step-by-step explanation:
First get the sum of all the ratios 2+1+1 =4
Divide $36 by the sum of the ratios $36/4 =$9
Multiply each ratio by $9 to get each of the amount.
I. 2x$9= $18
ii. 1x$9= $9
Iii. 1x $9 = $9
I not sure how to find the value of the letters
Answer:
a = 31°
b = 66°
Step-by-step explanation:
Reason for the answer to a:
It is an alternate angle. So, a = 31°.
Reason for the answer to b:
It is also an alternate angle. So, b = 35° + 31° = 66°.
Construct a square whose area is
36 cm²
Other than replacing the equal sign with some sort of inequality sign, what is the one big difference we need to keep in mind when solving a linear inequality?
Step-by-step explanation:
In response to this question,
When solving a linear equality, one difference that we must keep in mind other than replacement of = sign with some equality sign is that when we do multiplication or division with a negative number, we are then required as a must to change the direction of the inequality sign.
in grouped data each of the group is called?
Answer:
The class interval.
Identify all properties being shown: (5x^3 + 2) + 7x^2 = (7x^2 + 5x^3) + 2
Answer:
No solutions
Step-by-step explanation:
5x^3 + 2 + 7x^2 = 7x^2 + 5x^3 +2
125x + 2 + 49x = 49x + 125x + 2
-125x -125x
2 + 49x = 49x + 2
-2 -49x -49x -2
0 = 0
Hope this helped :)
If x2 + 3x + 7 is divided by x + 2, then what is the remainder?
Answer:
ok but thx for the points
Step-by-step explanation:
The remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; f(x) = x² + 3x + 7, since it is divided by x + 2, hence:
x + 2 = 0
x = -2
f(-2) = (-2)² + 3(-2) + 7 = 5
Hence the remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.
Find out more at: https://brainly.com/question/19030073
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 7148 employees at the company and wants to conduct a systematic sample of size 70.
Answer:
The answer is "K= 102"
Step-by-step explanation:
Given:
Number of employees = 7128
sample size =70
k=?
Formula:
[tex]\to K= \frac{\text{Number of employees}}{\text{sample size}} \\\\[/tex]
[tex]= \frac{7148}{70} \\\\= 102.11\ \ \ \ or \ \ \ 102[/tex]
y=2x+3 help please ...
Answer:
x=-3/2
y=3
Step-by-step explanation:
i hope this helps
Answer:
x=2x+3 Improper question not enough details The only answer can be found right now is 3x+3
Step-by-step explanation:
Combine like terms and give me brainliest please