One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?
Please help
Answer:
19.9875 feet
Step-by-step explanation:
The formula is given as:
Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.
1 inch = 0.0833 feet
Shadow of the student = 5ft
Height of the student = 5 feet 4 inches
4 inches to feet
= 4 × 0.0833 feet
= 0.33 feet
Hence: Height of the student = 5 + 0.33 = 5.33 feet
Shadow of the telephone pole = 18 feet 9 inches long
9 inches to feet
= 9 × 0.0833 feet
= 0.75 feet
Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet
Height of the telephone pole= x
Therefore:
5/5.33 = 18.75/x
Cross Multiply
5x = 5.33 × 18.75
x = 5.33 × 18.75/5
x = 19.9875 feet
The height of the telephone pole = 19.9875 feet
What is the percentage of 18.50?
Answer:
18.5
Step-by-step explanation:
Answer:
100% until the question is incomplete
Please solve this problem for me.
Answer:
It is 63 or 63/1. Billy used change in x over change in y, and the correct formula for slope is the change in y over the change in x.
He might have done it backwards.
1/63
and could be 63 miles in 1 hour
63/1.
Because the graph looks good. (i think)
Plz help me !!!!!!!!!!!!!!!!!
A bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. How many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3?
Answer:
1 button.
Step-by-step explanation:
Total buttons = 40
Total red buttons = 6
Total Buttons removed =25
Buttons left = 40–25 = 15
Let the red buttons left = x
1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)
2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)
Comparing Statement 1.) & 2.) , We get
x/15 = 1/3
x = 5
So the red buttons left = 5
Total red buttons= 6
Red buttons removed = 6–5= 1
Hence, only 1 button was red in the 25 removed buttons
There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.
What is probability?Probability is the measure of the likelihood of an event occurring.
Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.
[tex]p(A) = \frac{n(A)}{n(S)}[/tex]
p(A) is the probability of event A
n(A) is the number of outcomes with respect to A
n(S) is the total number of possible outcomes
Calculating the number of red buttons:Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.
So the total number of buttons in the bag = 40
It is given that 25 buttons are removed from the bag randomly
thus, the remaining buttons in the bag = 40 - 25 = 15
It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3
So, for finding the number of red buttons in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of red buttons and p(A) = 1/3 and n(s) = 15 (after removing)
Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5
So, the number of red buttons left in the bag = 5
then, the red buttons removed from the bag = 6 - 5 = 1
Therefore, only 1 red button is removed from the bag.
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The ratio of two supplementary angle is 3:1. Find the measures of both angles.
Answer:
The sum of two angle is 180 (supplementary)
given angle = 3:1
first angle =3x
2 nd angle=1x
3x+1x =180
4x =180
x = 180/ 4
x = 45
so first angle =3x x = 45
= 3×45
= 135 degree
2nd angle = 1x
=45 degree
ans
Both angles are 135 and 45
Step-by-step explanation:
Deion finds that the world's population is 7.048 billion and is increasing at a rate of 1.1% per year. Which function
would Deion use to model the growing population in billions, P(t), based on the number of years, t, after this year?
Answer:
Step-by-step explanation:
I think it’s a
Which is the correct algebraic expression for each phrase? 13 times the cost of one ticket *
A. t ÷ 13
B. t - 13
C. 13 + t
D. 13t
Find x, to the nearest hundredth.
Answer: 13.99
Step-by-step explanation:
Using sine rule
((sin 90)/18)= ((sin (180-(90+39)))/x)
((sin 90)/18)=((sin 51)/x)
(1/18)=(0.7771/x)
Cross multiply
x= 0.7771*18
x= 13.99
Which value is greater 3/8 or 25%
Answer:
3/8 because 3/8 as a percent is 37.5 percent
Step-by-step explanation:
Answer:
3/8 is greater
Step-by-step explanation:
3/8 as a percent is 37.5
37.5% > 25%
Therefore 3/8 is greater
Tip:
Covent one to the other unit
like 3/8 to a percent or 25% as a fraction.
But if you are looking for which is greater in fraction form then 25%
(emoji) + 3 = -6 { find the value of the emoji }
Answer:
-9
Step-by-step explanation:
x+3= -6
×= -6-3
x= -9
mark me branliest
Answer:
emojissss
Step-by-step explanation:
:3 =.= XD :7
Pls help me with the question in the pic
Answer:
9/16
Step-by-step explanation:
pls help me answer this (multiple choice)
Answer:
Option 3, 18.0
Step-by-step explanation:
To find the Hypotenuse of a right triangle, use the Pythagoras theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
(see image below)
(the longest side of any right △ is always C)
In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C
[tex]10^{2} +15^{2} =c^{2}[/tex]
[tex]100 + 225 =c^{2}[/tex]
[tex]325 = c^{2}[/tex]
Now that the equation is simplified, we find the square root of 325 to solve for C.
[tex]\sqrt{325 = c^{2}}[/tex]
[tex]18.0 = c[/tex]
The final answer is C = 18.0
Hope this helps you understand :)
Abigail and her children went into a bakery and she bought $11.25 worth of cupcakes and cookies. Each cupcake costs $3.75 and each cookie costs $0.75. She bought a total of 7 cupcakes and cookies altogether. Graphically solve a system of equations in order to determine the number of cupcakes, X, and the number of cookies, y, that Abigail bought.
Answer:
Number of cupcakes = 2
Number of cookies = 5
Step-by-step explanation:
Let [tex]x[/tex] denotes the number of cupcakes and [tex]y[/tex] denotes the number of cookies.
Abigail bought $11.25 worth of cupcakes and cookies such that each cupcake costs $3.75 and each cookie costs $0.75.
[tex]3.75x+0.75y=11.25[/tex]
At [tex]x=0;[/tex] [tex]0.75y=11.25[/tex]
[tex]y=\frac{11.25}{0.75} =15[/tex]
At [tex]y=0;3.75x=11.25[/tex]
[tex]x=\frac{11.25}{3.75}=3[/tex]
So, plot the points [tex](0,15)\,,\,(3,0)[/tex]
Also,
Abigail bought a total of 7 cupcakes and cookies altogether.
[tex]x+y=7[/tex]
At [tex]x=0;0+y=7[/tex]
[tex]y=7[/tex]
At [tex]y=0;x+0=7[/tex]
[tex]x=7[/tex]
So, plot points [tex](7,0)\,,\,(0,7)[/tex]
From the graph, solution is [tex](2,5)[/tex]
Number of cupcakes = 2
Number of cookies = 5
Help Please :)
I'm not sure if I'm correct.
Answer:
You are correct!
Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?
Answer:
6.84 weeks
Step-by-step explanation:
$719.95 - $178.95 = 541$
541/79 = 6.84 weeks
Houa's family took a road trip to the Grand Canyon. Houa fell asleep 29% of the way
through the trip. If the total length of the trip was 800 miles, how many miles had
they travelled when Houa fell asleep?
Answer:
232 miles had travelled when Houa fell asleep.
Step-by-step explanation:
1. .29 x 800 = 232
If the total length of the trip was 800 miles then 232 miles had they travelled when Houa fell asleep.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Houa's family took a road trip to the Grand Canyon.
Houa fell asleep 29% of the way through the trip.
If the total length of the trip was 800 mile we need to find the number of miles they travelled when Houa fell asleep.
29% can be converted to decimal by dividing with 100
29/100=0.29
Now multiply 0.29 with 800
0.29×800
232 miles
Hence, 232 miles had they travelled when Houa fell asleep.
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what is the slope of the line that passes through (3, 2) and (4, 11)?
Answer:
9
Step-by-step explanation:
2-11 = -9
3-4 = -1
-9/-1 = 9
Answer pls. question in photo
The diameter of a spherical basketball is 10 inches. What is the volume of the basketball? Give the exact solution.
Step-by-step explanation:
Volume of sphere =4/3pir3
=4/3 X pie X rXrXr
R=diameter /2=10/2=5 inches
V=4/3 X 22/7 X 5 X 5 X 5
= 11000/21=523.8in3
PLEASE HELP>YOU CAN LITERALLY SAVE MY LIFE
What is the total bill you would leave for a $22 haircut and a 15% tip?
and
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?
Answer:
Step-by-step explanation:
$25.30
and
$68.04
Answer:
25.3 and 77.5 i think
Step-by-step explanation:
Solve the simultaneous equations
2x + 5y = 16
- 2x + 3y = 8
Answer:
2x+y= -2, x + 2y = 2
x+y=3 , 2x-8y = 19
6x^2+3y^2=12 , x +y = 2
A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each holds 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed, and how many popped kernels are in the last partially filled box?
Answer:
14 ; 40
Step-by-step explanation:
Number of unpopped popcorn = 1600 kernels
Kernel per popped corn = 120
Number of boxes needed :
Number of unpopped / kernel per popped corn
1600 / 120
= 13.3333
Hence, number of boxes needed = 14
Number of popped kernel. In partially filled box :
1600 - (120 * 13)
1600 - 1560
= 40
Please help out with this geometry homework I was assigned. And what formula do I use?
Answer:
[tex] V_{cone} \approx 1,178.97 \: {in}^{3} [/tex]
Step-by-step explanation:
Diameter of cone = 16 in
Radius of cone r = 16/2 = 8 in
Height of cone h = 17.6 in
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\[/tex]
In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and GE = 21 feet. Find the measure of ∠E to the nearest degree.
Answer:
56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Solve for x. (3x + 17) (8x - 46)
Answer:-15
Step-by-step explanation:
The value of x in the given expression (3x + 17) (8x - 46) is -17/3 or 23/4
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (3x + 17)(8x - 46), we need to find the value of x,
(3x + 17)(8x - 46)
To find the value of x, equate the expression to 0,
(3x + 17)(8x - 46) = 0
3x+17 = 0
x = -17/3
or
8x-46 = 0
8x = 46
x = 23/4
Hence, the value of x is -17/3 or 23/4
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how do I solve for x?
Step-by-step explanation:
(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]
Write an algebraic expression for each situation.
a. 7 more than a number
b. Twice a number
Step-by-step explanation:
a- 7 + X
b- 2x is the equation for these terms I think so
Solve the equation 7^{2x}+7^{x+1}+4=0. Correct to 4 decimal places.
Answer:
Step-by-step explanation:
Here is the exact form and decimal form!
A boy arrived at school at 8:15am if he stayed in the school for 4 hours 20 minutes when did he leave
Answer:
12:35
Step-by-step explanation:
The boy left school at time 12:15 pm.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.
To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:
So,
8:15am = 8 x 60 + 15 = 495 minutes
Now we can add 4 hours and 20 minutes:
495 + 4 x 60 + 20 = 735 minutes
So the boy left school at 735 minutes after midnight.
To convert this back to a time, we can divide by 60 to get the number of hours and minutes:
735 minutes / 60
= 12 hours (with 15 minutes remaining)
Therefore,
The boy left school at time 12:15 pm.
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