Using proportions, it is found that a tree that casts a shadow 4 ft long is 180 in. tall.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a fire hydrant that is 30 in. tall and casts a shadow 8 in. long. We want to find the height of a tree that casts a shadow of 4 ft = 4 x 12 = 48 inches. Hence, the rule of three is given by:
30 in - 8 in
h in - 48 in
Applying cross multiplication:
h = 48 x 30/8
h = 6 x 30.
h = 180 in.
More can be learned about proportions at https://brainly.com/question/24372153
Someone help me pls I'll give out brainliest pls don't answer if u don't know
The speed of an object can be found by dividing the distance traveled by the time it took. It takes Jamal $36$ seconds to skate once around a $500\text{ }\text{m}$ rink. If it takes Tory $40$ seconds to skate the same distance, what is the difference in their speeds?
Answer:
Difference = 13.9 m/s
Step-by-step explanation:
Speed of an object = distance traveled/time taken
Jamal takes 36 seconds to skate 500 m rink. Let his speed is v. So,
[tex]v=\dfrac{500\ m}{36\ s}\\\\=13.89\ m/s[/tex]
Tory takes 40 seconds to skate 500 m rink. Let his speed is v'. So,
[tex]v'=\dfrac{500\ m}{40\ s}\\\\=12.5\ m/s[/tex]
The difference in their speeds,
D = 13.89 - 12.5
= 1.39 m/s
Hence, the difference in their speeds is 13.9 m/s.
What is the value of the expression 6z2+2z+10 when z=3?
Hi there! Hope this helps, and if it does, please mark brainliest!
Answer:
346
Step-by-step explanation:
6z2+2z+10
(6 x 3)^2 + 2 x 3 + 10
18^2 + 12 + 10
324 + 22
346
6(-2) (-3) PLEASE HELP ASAP!!!!!!!!!!
Answer:
6×6
=36
Step-by-step explanation: Negative multiplied by negative is positive.
Answer:
36
Step-by-step explanation:
6 times -2 = -12
-12 times -3 = 36
Evaluate the expression for the given values of the variables:
4(c + 5) - f^4; c = -1, f = 4
Answer:
-240Step-by-step explanation:
Given
4(c + 5) - f^4c = -1, f = 4Substituting values
4(-1 + 5) - 4^4 =4*4 - 256 =16 - 256 =-240How many variables are in this expression? y + 5x - 10
Answer:
2
Y and X are numerical and algebraic values to substitute missing numbers or shorten equations.
What is the answer to this?
To find the y-intercept substitute x as 0
[tex]y = 1 \times {0}^{2} + 7 \times 0 - 5[/tex]
[tex]y = 1 \times 0 + 0 - 5[/tex]
[tex]y = 0 + 0 - 5[/tex]
[tex]y = - 5[/tex]
Thus, The y-intercept is -5...~We know that:
The y-intercept of an equation is the constant. Constants are the numerals in the equation.Finding the y-intercept.
In the equation provided, we can see only one constant.
=> y = 1x² + 7x - 5Thus, the y-intercept is -5.
3. Convert the following measurements:
a. 16 mg =
g|
b. 4.7 kg =
g
c. 12,345 g =
kg
d. 2 g =
mg
Please explain it I’m
Slow
What is the approximate volume of the cone? Use 227
22
7
for π. Enter your answer in the box.
Answer :
132 cm³.Explanation :
We know,
⠀
[tex]{ \longrightarrow \bf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \pi {r}^{2}h }}}
[/tex]
⠀
Where,
r is the base radius of the cone.h is the height of the cone.⠀
Here,
Radius of the cone is 3 cm .Height of the cone is 14 cm .We will take the value of π as [tex] \sf \: \dfrac{22}{7} [/tex]⠀
Substituting the value in the formula :
⠀
[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{3} \times \dfrac{22}{7} \times {3}^{2} \times 14 }}}[/tex]
⠀
[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= \dfrac{1}{ \cancel3} \times \dfrac{22}{ \cancel7} \times { \cancel9} \times \cancel{14 }}}}[/tex]
⠀
[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 3 \times 2 }}}[/tex]
⠀
[tex]{ \longrightarrow \sf \qquad { { Volume_{(cone) }= 1 \times 22 \times 6 }}}[/tex]
⠀
[tex]{ \longrightarrow{ \pmb {\mathfrak {\qquad { Volume_{(cone) }= 132 }}}}}[/tex]
⠀
Therefore,
The volume of the cone is 132 cm approximately .Question :-
Calculate the Volume of Cone, if the following dimensions are Radius as 3 cm and Height as 14 cm .Answer :-
Volume of Cone is 132 cm .Explanation :-
As per the provided information in the given question, we have been given that the Radius of the Cone is 3 cm . Its Height is given as 14 cm . And, we have been asked to calculate the Volume of the Cone .
For calculating the Volume , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cone} \: = \: \frac{1}{3} \: \pi {r}^{2} h \: }} [/tex]
Where ,
R denotes to the RadiusH denotes to the HeightTherefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \pi \: \times \: {r}^{2} \: \times \: h } [/tex]
[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: ( {3})^{2} \: \times \: 14 } \\ [/tex]
[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac{1}{3} \: \times \: \dfrac{22}{7} \: \times \: 9 \: \times \: 14 } \\ [/tex]
[tex] \longmapsto \: \: \sf{Volume \: _{Cone} \: = \: \dfrac {1}{1} \: \times \: \dfrac {22}{1} \: \times \: 3 \: \times \: 2 } [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 3 \: \times \: 2} [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 1 \times \: 22 \: \times \: 6} [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cone} \: = \: 22 \: \times \: 6} [/tex]
[tex] \longmapsto \: \: \bf {Volume \: _{Cone} \: = \: 132 \: cm } [/tex]
Hence :-
Volume of Cone = 132 cm .[tex] \underline {\rule {200pt} {4pt}} [/tex]
what is the number twelve thousand , six hundred and seventy one in figures
Hi! I hope you're enjoying your day!
First, twelve thousand is written like this:
12,000
Now, six hundred looks like so:
600
Put the numbers together:
12,600
Now, seventy-one looks like so:
71
Put all the numbers together:
[tex]\boxed{\boxed{\bold{12,671}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
[tex]\rule{250}{2}[/tex]
The answer in figures is 12671
Question 13
Which of the following is an equivalent equation obtained by completing the square of the expression below?
x^2 + 6x - 8 = 0
Answer:
B) (x + 3)^2 = 17
Step-by-step explanation:
To complete the square you need to put x + or - half of the x coefficient.
So here it would be (x + 3)^2. However, we're trying to find x^2 + 6x - 8 = 0, not x^2 + 6x + 9 = 0, which is what (x + 3)^2 expands to. So we need to -9 from x^2 + 6x + 9 = 0 and add -8 from the original equation.
This simplifies to (x + 3)^2 - 9 - 8 = 0 --> (x + 3)^2 - 17 = 0
Then all you need to do is rearrange to give: (x + 3)^2 = 17
Given the figure below, find the values of x and z.
Answer: z = 107; x = 5
Step-by-step explanation:
z = 107 They are vertically opposite angles, which they are equal.
z + (6x + 43) = 180
1. Plug in 107 for z.
107 + (6x + 43) = 180
2. Get rid of parentheses.
107 + 6x + 43 = 180
3. Sum up the number in the left sides.
6x + 150 = 180
4. Subtract 150 from both sides.
6x = 30
5. Divided 6 from both sides.
x = 5
Amber simplified the expression (a4+7a−16)−(12a3−5a+3) below. Amber made her first error at,
Problem: (a4+7a−16)−(12a3−5a+3)
Step 1: a4+7a−16−12a3+5a−3
Step 2: a4−12a3+7a+5a−16−3
Step 3: −11a+7a+5a−16−3
Step 4: −11a+12a−16−3
Step 5: −11a+12a−19
Answer:
It’s step 3 became she forgot to add a^4 in the problem when solving
Noah orders an extra-large pizza. It costs $12.49 for the pizza plus $1.50 for each topping. He olders an extra-large pizza with t toppings that costs a total of d dollars. Select all of the equations that represent the relationship between the number of toppings t and total cost d of the pizza with t toppings.
Answer:
B and E
Step-by-step explanation:
product of x and y divided by the difference of a and b
Answer:
x*y/a-b
Step-by-step explanation:
Emma had 132 marbles.12 of them were blue and 14of them were red.the rest were white.how many white marbles did emma have?
Answer:
106 white marbles
Formula:
(Blue)+(Red)=(Answer)
(Total Marbles)-(Answer)=(White)
Work:
12 + 14 = 26
132 - 26 = 106
The expression x[3y-2(z-w)-y] is equivalent to:
Answer:
hey Hey Im the Hero to you 2x⋅(y−z+w)
Answer :D
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
x • ((3y - 2 • (z - w)) - y)
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2y - 2z + 2w = 2 • (y - z + w)
Final result :
2x • (y - z + w)
Find the one arithmetic means between a and b
Answer:
[tex]\frac{1}{2}[/tex] (a + b)
Step-by-step explanation:
The arithmetic mean is the average of the 2 numbers, that is
[tex]\frac{a+b}{2}[/tex] = [tex]\frac{1}{2}[/tex] (a + b)
i need this now asap
Answer:
Step-by-step explanation:
either 150.7 or 40
CAN SOMEONE HELP ME What is the factored form of x2 – x – 2?
(x-2)(x+1) is the answer to your question
At a carnival, a customer notices that a prize wheel has 5 equal parts, one of which is labeled "winner. " She would like to conduct a simulation to determine how many spins it would take for the wheel to land on "winner. " She assigns the digits to the outcomes.
0, 1 = winner
2-9 = not a winner
How can a random number table be used to simulate one trial of this situation?
A) Read 100 single-digit numbers. Count the number of 0s and 1s.
B) Read single-digit numbers until finding the first 0 or 1. Count the number of 0s and 1s.
C) Read single-digit numbers until finding the first 0 or 1. Count the number of digits needed to get the first 0 or 1.
D) Read 100 single-digit numbers. Count the number of digits needed to get a 0 and the number of digits needed to get a 1
Considering the probability concept, a random number table could be used as follows:
C) Read single-digit numbers until finding the first 0 or 1. Count the number of digits needed to get the first 0 or 1.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we want to count the number of spins it takes to reach values of 0 or 1, when there are 10 possible outcomes, hence option C is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
Two friends shared 1/3 of water equally how much water did each friend get
Answer:
1/6
Step-by-step explanation:
1/3 equals 2/6 then two friends share the 2/6 and it's 1/6
Hope this helped :)
what is the value of BC in the given triangle?
Answer:
BC = 1.2, Option B
Step-by-step explanation:
1). Apply Law of Cosine: [tex]c^2=a^2+b^2-2ab\cdot cos(\gamma)[/tex]
[tex]BC^2=AB^2+AC^2-2\cdot AB\cdot AC\cdot cos(\angle\ BAC)[/tex]
[tex]AB=2\\AC=1\\\angle BAC=25[/tex]
2). [tex]BC^2=2^2+1^2-2\cdot 1\cdot cos(25)[/tex]
[tex]BC=1.17[/tex]
what is 2x+x+x+2y×3y×y simplified
Answer:
4x+6y³
Step-by-step explanation:
give me thanks, please;)
Answer:
NOTHING
Step-by-step explanation:
does the flag have rotational symmetry?
Answer:
The triskelion appearing on the Isle of Man flag has rotational symmetry because it appears the same when rotated by one third of a full turn about its center. Because its appearance is identical in three distinct orientations, its rotational symmetry is three-fold.
the answer is first one
11x11x11x11x11=
Enter the expression using exponents
Answer:
11^5
Step-by-step explanation:
you count how many 11's there are
the endpoints of st are (2,22) and T(4,2). What are the coordinates of the midpoint st?
Answer: (3,12)
Step-by-step explanation:
1. Add both y-coordinates
2. Add both x- coordinates
3. Divide both by two
Answer should be (3,12)
I went to Wegmans wit
$12. How many TV dinners
can I get if each one costs
$1.50
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
12/1.50=8 TV dinners
Need help asap whoever helps big thank you!
Answer:8.9
Step-by-step explanation: y=2.2 +3.5 =6.7 +0.18
y= 8.9
good luck
Write a linear equation in slope-intercept form that passes through the points (-11, -5) and (1, -2).
Write any fractions in the following form: (ex: 2/3).
Answer:
y=1/4·x+-2 1/4
Step-by-step explanation: