Answer:
20.25
Step-by-step explanation:
The area of a rectangle is calculated by multiplying its width and length:
The area of the smaller rectangle is given as 9 ft^2 so to find its width we divide the given area with length which is 4.5
9/(4.5) = 2
The given rectangles are similar so their side lengths must be proportional
(4.5)/x = 2/9 cross multiply expressions
2x = 40.5 divide both sides by 2
x = 20.25
Cameron is 1.85 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 21.55 meters. He stands 16.6 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The height of the tree can be found by establishing a proportional relationship between the heights and the shadows of the tree and Cameron and the height of the tree to the nearest hundredth of a meter is 2.40 m.
Proportional relationshipProportional relationships are relationships between two variables where their ratios are equivalent.
Therefore, we will establish a proportion to find the height of the tree.
Cameron height = 1.85 m
Tree shadow = 21.55 m
Cameron shadow length = 16.6 m
height of the tree = x
Therefore,
1.85 / x = 16.6 / 21.55
16.6x = 21.55 × 1.85
x = 39.8675 / 16.6
x = 2.40165662651
x = 2.40 m
learn more on proportion here: https://brainly.com/question/26753283
can you solve please -8(0.09) (-0.5)=?
-8(0.09) (-0.5) = 0.36
-8(0.09) (-0.5)
(-0.72) (-0.5)
0.36
Answer:
[tex]\boxed{\sf{0.36}}[/tex]Step-by-step explanation:
This problem can be solved by multiplying left to right by a decimal.
-8(0.09)(-0.5)
First, you have to do is remove these parenthesis.
[tex]\sf{8*0.09*0.5}[/tex]
Then, you solve.
Multiply.
[tex]\sf{8*0.09*0.5=\boxed{\sf{0.36}}}[/tex]
=0.36
Therefore, the final answer is 0.36.I hope this helps you! Let me know if my answer is wrong or not.
Write a formula that shows the dependence of: the length of the side (a) of a cube on the surface area (S) of the cube
Write the formula for the parabola that has x-intercepts (-3-√2,0) and (-3+√2,0), and y-intercept (0,-5)
Answer:
Let a = side length of a cube
Let S = surface area of a cube
Area of a square = a²
Since a cube has 6 square sides: S = 6a²
To make a the subject:
S = 6a²
Divide both sides by 6:
[tex]\sf \implies \dfrac{S}{6}=a^2[/tex]
Square root both sides:
[tex]\sf \implies a=\sqrt{\dfrac{S}{6}}[/tex]
(positive square root only as distance is positive)
-----------------------------------------------------------------------------------------------
[tex]\sf x=-3-\sqrt{2} \implies (x+[3+\sqrt{2}])=0[/tex]
[tex]\sf x=-3+\sqrt{2} \implies (x+[3-\sqrt{2}])=0[/tex]
Therefore,
[tex]\sf y=a(x+[3+\sqrt{2}]) (x+[3-\sqrt{2}])[/tex] for some constant a
Given the y-intercept is at (0, -5)
[tex]\sf \implies a(0+3+\sqrt{2}) (0+3-\sqrt{2})=-5[/tex]
[tex]\sf \implies a(3+\sqrt{2}) (3-\sqrt{2})=-5[/tex]
[tex]\sf \implies a(9-2)=-5[/tex]
[tex]\sf \implies 7a=-5[/tex]
[tex]\sf \implies a=-\dfrac57[/tex]
Substituting found value of a into the equation and simplifying:
[tex]\sf y=-\dfrac57(x+[3+\sqrt{2}]) (x+[3-\sqrt{2}])[/tex]
[tex]\sf \implies y=-\dfrac57(x^2+6x+7)[/tex]
[tex]\sf \implies y=-\dfrac57x^2-\dfrac{30}{7}x-5[/tex]
Write an equation of the line passing through the points ( -5, -25 ),(0,0), and( 3,15)?
Please help me with this question
Answer:
Y=5X because the slope is 5 and the Y-intercept is 0
The base of a triangle is 75 cm and its height is 12
12 cm. Find its area.
Answer:
Here is your answer
Step-by-step explanation:
Solution,
here,
Base is 75 cm
Height is 12 cm
Now,
Area of triangle=1/2×b×h
=1/2×75×12
= 900/2
=450. ans
i will mark brainliest rn
Answer:
65 is the correct answer
A cylinder and a cone have the same volume. The cylinder has a diameter of 4 inches and a height of 3 inches. The cone has a diameter of 6 inches. What is the height of the cone?
We are given a cylinder and a cone of same volume i.e
[tex] \longrightarrow[/tex] Volume of cone = Volume of cylinder
And also the diameter of the cylinder is given 4 inches
[tex] \longrightarrow[/tex] Radius = [tex]\sf \dfrac{Diameter}{2}[/tex]
[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{4}{2}[/tex]
[tex] \longrightarrow[/tex] Radius = 2 inches
The height of cylinder is 3 inches. And the diameter of the cone is 6 inches
[tex] \longrightarrow[/tex] Radius = [tex]\sf\dfrac{Diameter}{2} [/tex]
[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{6}{2}[/tex]
[tex] \longrightarrow[/tex] Radius = 3 inches
First, let us recall the Formulas of volume of cylinder and cone:
[tex] \quad\longrightarrow\quad \sf {Cone = \dfrac{1}{3}\pi r^2 h }[/tex]
[tex] \quad\longrightarrow\quad \sf {Cylinder = \pi r^2 h }[/tex]
Now, we know that the volume of cone is equal to the volume of cylinder
[tex] \implies\quad \sf{\dfrac{1}{3}\pi r^2 h = \pi r^2 h }[/tex]
On putting the values:
[tex] :\implies\quad \sf{\dfrac{1}{3}\pi \times 3^2 \times h = \pi \times 2^2 \times 3 }[/tex]
[tex] :\implies\quad \sf{\dfrac{1}{\cancel{3}}\times 3.14 \times\cancel{ 9 }\times h = 3.14 \times 4 \times 3 }[/tex]
[tex] :\implies\quad \sf{3.14 \times 3 \times h = 3.14 \times 12 }[/tex]
[tex]: \implies\quad \sf{ h = \dfrac{ \cancel{3.14} \times 12 }{ \cancel{3.14} \times 3} }[/tex]
[tex] :\implies\quad \sf{ h =\cancel{ \dfrac{12}{3}}}[/tex]
[tex] :\implies\quad \underline{\underline{\pmb{\sf{h = 4 inches }}} }[/tex]
ㅤㅤㅤㅤㅤ~Hence the height of the cone is 4 inches.
у
6
2 Look at the coordinate plane at the right.
Choose True or False for each statement about the points in the
coordinate plane.
5
4
L
a.
3
Point J and point Khave the same
y-coordinate.
True
False
2.
1
K
b. Point K and point L have the same
x-coordinate.
True
False
O
► X
6
1
2
3
4
5
c. Point J and point L are the same
distance up from the origin.
True
False
True
False
d. The y-coordinate of point L is 5.
e.
Point is the nearest point to the
right of the origin.
True
False
Answer:
A. False
B. True
C. False
D. True
E. False
Jayce and Lara each made q bowl of punch. Lara used 6 times as much as much lemonade as Jayce did. if Jayce used 3/4 if a cup of lemonade, how many cups did Lara use?
Answer: 4.5
Step-by-step explanation:
6 x 3/4 = 18/4 divided that and it equals 4.5
The round temperature dial on a thermostat has a radius of 3 centimeters. What is the dial's diameter?
Answer:
6 cm
Step-by-step explanation:
A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.
The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)
The diameter is twice the radius:
d = 2 × (3 cm) = 6 cm
The dial's diameter is 6 cm.
The area of a rectangle is 48 square inches. The length is 98 inches. Write an equation that can be used to find the width of the square.
Answer:
48 = 98x (where x is the width)
Step-by-step explanation:
Area of a rectangle = length × width
Let x = width
Given:
area = 48 in²length = 98 in⇒ 48 = 98x
Answer:
x=0.4897599184
Step-by-step explanation:
→Solution,
Area(A)=48 in²
Lenght(l)=98in
Breadth(b)=?
Let the breadth be x.
As we have,
Area of rectangle=l×b
48 in²=98 in × x
48 in²/98 in = x
x=0.4897599184
Find the indicate values
f(x)=2x-5
10 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
- 6/17 = (-6) / 17 (2nde solution)
= - (6/17) (4th solution)
= 6/(-17) (last solution)
Help on this please.
Answer: 33.88 meters
Step-by-step explanation:
Select the best estimate of the product of 91 x 58 = ____
5,278 hope this helps good luck!
Question in photo, please answer ASAP !! Many thanks. : )
Answer:
Step-by-step explanation:
EF and CD are meant to be parallel. Whatever you do to one, you do the same thing to the to maintain slope symmetry.
So the blank should contain 90 clockwise.
how do i find slope in standard form?
Answer:
The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.
Answer:
m = -A/B
The standard form of a linear equation is Ax + By = C.
[tex]hope \: it \: will \: help \: [/tex]
I need help!!!!! The question is in the photo btw
Answer:
114 Feet^2
Step-by-step explanation:
Volume is length*width*height
So we can cut our shape into 2 rectanges.
The bottom one will have the dimensions of 6*1*3 which is 18 feet
And the top one will have the dimensions of 8*4*3 which is 96 feet
Add them up, 96+18=114 feet
Clinton has a spinner labeled orange, blue, green and pink. He spins the spinner 100 times. He gets orange 33 times. What the experimental probability of him getting an orange? in fraction form
Explanation:
Divide the number of times orange shows up (33) over the number of total spins (100). Reduce the fraction if possible. In this case, 33/100 is fully reduced because 33 and 100 have no common factors other than 1.
just trying some stuff coz i dont use this ttoo much
Step-by-step explanation:
ohhhhhhhhhhhhhhhh.......
What is the perimeter of this garden?
A:94 ft
B 100ft
C 76ft
D 600ft
Answer:
A
Step-by-step explanation:
Hope this helped
Struggling on this one
Answer:
x=98
Step-by-step explanation:
Alright, so..
Your first step is to isolate (or make the x be alone), so you will have to get rid of the "8". We do this by doing the opposite thing to it. So since it is subtracting, we will add 8:
-8+8=0
Now what you do to one side of the "=" has to be done to the other:
6+8=14
now, we have the equation:
14=x/7
Simply repeat the step of isolating the x:
This time, we will multiply since it was originally dividing..
x/7(7)=1x/1
1x/1 is the same thing as 1x, which is the same thing as just "x"
Now, do it to the other side:
14(7)=98
Thus we have:
98=x or x=98
this can be checked by substituting the "x" for 98:
6=98/7-8
98/7=14
14-8=6
6=6
which is correct.
Thus, the answer is: x=98
Hope this helps! Brainliest is always appreciated! :)
Have a great day! cx
~Mitsuna
Suppose that $x,y,z$ are positive integers satisfying $x \le y \le z$, and such that the product of all three numbers is twice their sum. What is the sum of all possible values of $z$
The possible values of z is an illustration of the sum operator
The sum of all possible values of z is 17
How to determine the possible sum of z?The conditions in the question are:
x <= y <= z
xyz = 2(x + y + z)
Using the trial by error method, the possible values of x, y and z are:
x = 1 , y = 3 , z = 8x = 1 , y = 4 , z = 5x = 2 , y = 2 , z = 4The sum of the z values are:
z = 8 + 5 + 4
Evaluate the sum
z = 17
Hence, the sum of all possible values of z is 17
Read more about the sum operator at:
https://brainly.com/question/2475734
(from Unit 5, Lesson 7) Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures? 9°C, -3°C, 22°C, -5°C, 11°C, 15°C Type your answer in the box below. The range of temperatures is .
27゚C
Given the temperatures, 9゚C, -3゚C, 22゚C, -5゚C, 11゚C, 15゚C, the range difference between the highest temperature and lowest temperature is 27゚C.
22゚C - (-5゚C) = 27゚C
can someone explain what to do like im a 5 year old please? (pre algebra)
Answer:
angle 3 = 61
angle 4 = 119
angle 6 = 61
angle 7 = 119
Step-by-step explanation:
there are a few ways you could look at this
first, each angle that is diagonal from eachother is going to be equal so 1 is the same as 3, 2 is the same as 4 etc
also each line going across has to be 180° so if angel 1 was 175 then angle 2 has to be 5 so when you combine them it becomes 180
if you look at the sizes some are bigger than the others, because you're given angle 1 = 61 then all the other small angles would be 61 too, and 180 - 61 = 119 so the all the big ones have to be 119
if this confused u more I'm sorry lol let me know if this helped
solve for x and please roundddd
The tree diagram below shows all of the possible outcomes for flipping three coins.
A tree diagram has outcomes (H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).
What is the probability that at least two of the coins will be tails?
Answer:
1/2
Step-by-step explanation:
Let H = the possible outcomes that include flipping heads
Let T = the possible outcomes that include flipping tails
In order to have an outcome of two coins having tails, that means for each outcome, you must have at least two T's.
Therefore, the possible outcomes are:
(H, T, T)
(T, H, T)
(T, T, H)
(T, T, T)
This is 4 possible outcomes, and since we want to find the probability we find the total number of outcomes and make a fraction.
[tex]4/8 = 1/2[/tex]
There are 8 outcomes, and since 4 work for this scenario, the answer is 1/2.
#LearnWithBrainly
What mistake did she make? ill give brainliest
Answer
C you cannot divide matricies like that
Step-by-step explanation:
you can only multiply by the inverse in which the order matters. if there is a 4th possible answer then that may be more correct
Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps below. Find the step where Harry went wrong. (1 point)
➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0
To solve -➙ the given quadratic equation.
Concept applied -➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.
What is quadratic equation?
➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.
Now, what is quadratic formula?
➙The roots of a quadratic equation ax + bx + c = 0 are given by [tex]\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}[/tex] provided b - 4ac ≥ 0.
Solution -here as per the given quadratic equation,
a = 2, b = -1 and c = -6
putting in the formula,
[tex]\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: 7}{4}}[/tex]
Solving one by one,
[tex]\implies\sf{x=\frac{1 + \: 7}{4}}[/tex]
[tex]\implies\sf{x=\frac{8}{4}}[/tex]
[tex]\implies{\boxed{\bf{x=2}}}[/tex]
________________
[tex]\implies\sf{x=\frac{1 - \: 7}{4}}[/tex]
[tex]\implies\sf{x=\frac{-6}{4}}[/tex]
[tex]\implies{\boxed{\bf{x=\frac{-3}{2}}}}[/tex]
________________________________
Note - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.
________________________________
Hope it helps!! (:
Is (1, 13) a solution to this system of equations?
y = 8x + 5
y = 13
Yes or No
Answer:
yes
Step-by-step explanation:
i hope this will help