Answer:
3
Step-by-step explanation:
These are similar triangle
We can use ratios to solve
12 12+4
------ = ----------
9 9+DC
Using cross products
12( 9+DC) = 9*(12+4)
12 (9+DC) = 9*16
Divide each side by 12
12/12 (9+DC) = 9*16/12
9+DC = 12
Subtract 9 from each side
9+DC-9 =12-9
DC =3
Answer:
3 units
Step-by-step explanation:
We can see that triangle ADE is similar to triangle ACB.
Therefore the ratios of the lengths of their sides must be equal.
We can write AD/AC = AE/AB
we are given AD = 9, AE = 12 and AB = 12 + 4 = 16
Substituting the above values into the equation:
AD/AC = AE/AB
9 / AC = 12/16 (rearranging)
(AC)(12) = (9)(16)
AC = (9)(16)/12
AC = 12
We can also see that
DC = AC - AD
DC = 12 - 9
DC = 3 units
Which is equivalent to One-fourth x?
Answer:
Step-by-step explanation:
That'd be (1/4)x or x/4.
Answer:
The answer is A on edg 2020
Step-by-step explanation:
i got it right.
can i get brainliest
It’s a time card calculation question
Answer:
Step-by-step explanation: idk ok 1-2 is idk
how to find X using pythagorean theorem if the other two sides are 10 and 8
Answer:
x= 13
Step-by-step explanation:
10*10+8*8=x2
100+64=x2
164=x2l
I will give you brainliest!!!! Which term best describes the slope of this line?
Answer:
zero
Step-by-step explanation:
The line is a horizontal line
Horizontal lines are of the form y= constant
This means they have zero slope
Jonathan’s family took a road trip to the Grand Canyon.Jonathan fell asleep after they had travelled 260 miles. If the total length of the trip was 400 miles,what percentage of the total trip had they travelled when Jonathan fell asleep??
Answer:
Step-by-step explanation:
for 140
miles he had slept
Joan draws a bar chart to show the temperatures at midday
on March 1st in five cities.
Joan has made four mistakes
in her diagram
Answer:
See Explanation
Step-by-step explanation:
The answers are in the attachment already; I guess you need an explanation.
For the first answer
- The bars of Paris, Oslo and Munich are not properly drawn.
This is so because distance between the bats of a bar chart is expected to be the same between all bars.
From the attachment above, it doesn't look so because the bats of these three cities are out of position.
In other words, the vertical lines of the bars must align with the vertical lines of the grid in the graph.
- The Temperature in the y axis doesn't start with 0
When plotting a graph, the origin must be 0 but in the attachment above, Joan used an origin of 2, which is totally incorrect.
- In Munich, the bar graph for x axis is taken more than 1 unit.
The bars of the bar graph should maintain a constant width but from the attachment above, the width of the bar is wider than the width of other bars
Which planet is more than one astronomical unit from the Sun? A. Mars B. Earth C. Venus D. Mercury
Answer: Earth
Step-by-step explanation:
Planet (or Dwarf Planet) Distance from the Sun (Astronomical Units miles km) Number of Moons
Mercury 0.39 AU, 36 million miles 57.9 million km 0
Venus 0.723 AU 67.2 million miles 108.2 million km 0
Earth 1 AU 93 million miles 149.6 million km 1
Mars 1.524 AU 141.6 million miles 227.9 million km 2
What is the surface area of the right cone below?
slanted height of 13 and radius of 4
A. 5277 units
B. 5477 units2
C. 687 units2
D. 104 units2
Answer:
213.69 units
Step-by-step explanation:
We have to first find the height of the cone.
We can use Pythagoras rule because the slant height, height and radius of a cone all form a right angled triangle:
[tex]h^2 = a^2 + b^2[/tex]
where h = hypotenuse
a and b = the other two sides of the triangle
The radius is 4 units and the slant height is 13 units:
[tex]13^2 = a^2 + 4^2\\\\169 = a^2 + 16\\\\a^2 = 169 - 16 = 153\\\\a = \sqrt{153}\\\\a = 12.37units[/tex]
The height of the cone is 12.37 units.
The surface area of a cone is given as:
SA = [tex]\pi r (r + \sqrt{h^2 + r^2} )[/tex]
[tex]SA = \pi * 4(4 + \sqrt{12.37^2 + 4^2} )\\\\SA = 12.57(4 + \sqrt{13^2} )\\SA = 12.57 (4 + 13)\\\\SA = 12.57(17)\\\\SA = 213.69 units[/tex]
The surface area of the cone is 213.69 units.
The cube root of 24.
Answer:
2.88449914
Step-by-step explanation:
Which equation can be used to solve for x in the following diagram?
Answer:
18x = 90
x = 5
Step-by-step explanation:
Since it is a 90° angle, you can use 11x + 7x = 90
18x = 90
What is -3 1/2 ÷ 4/9 = ???
Answer: -7.875
Step-by-step explanation:
PLEASE HELP ME WITH THIS! VERY IMPORTANT!!! SMART PEOPLE PLEASEEE
Find the y-intercept of the following equation. Simplify your answer. 25 points will mark Brainly
y = 9x − 9
y-intercept =
Answer:
- 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 9x - 9 ← is in slope- intercept form
with y- intercept c = - 9
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years.
Answer:
6564.696
Step-by-step explanation:
A=6,000×(1+0.046)^(2)
A=6,564.696
What is 0.00245 in standard form
Answer:
2.45*10^-3
Step-by-step explanation:
The number 0.00245 expressed in standard form is; 2.45 × 10-³.
While expressing numbers in standard form;
We must ensure that only one significant digit appears before the decimal point.
As such; we have 2.45 × 10-³.The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.
Read more:
https://brainly.com/question/11288844
The area of a circle is pi(9x^2 + 42x +49). What is the circumference of the circle? Plz help will mark brainliest!
Answer:
2pi(3x + 7)
Step-by-step explanation:
In order to solve for the circumference, consider the area and circumference formulas. What is common among them? The radius. Take a look at their formulas below;
[tex]Circumference = 2\pi r,\\Area = \pi r^2,\\\\Where, r = radius[/tex]
Now if the area of this circle is given to be π ( 9x^2 + 42x + 49 ) we can plug it into the area formula as " Area " and solve for r ( radius );
[tex]\pi * ( 9x^2 + 42x + 49 ) = \pi r^2,\\( 9x^2 + 42x + 49 ) = r^2[/tex]
As you can see, π was eliminated on either side of the equation, leaving us with the simplified equation ( 9x^2 + 42x + 49 ). This expression is a perfect square. How so? Well you can rewrite the expression as ( 3x )^2 + 2 * ( 3x ) * ( 7 ) + ( 7 )^2, or ( 3x + 7 )^2;
[tex]( 3x + 7 )^2 = r^2,\\r = | 3x + 7 |,\\r = 3x + 7, r = - 3x - 7\\\\Solution, r = 3x + 7[/tex]
If r = 3x + 7, let us plug it into the circumference formula as to solve for the circumference;
[tex]Circumference = 2\pi r,\\Circumference = 2\pi * ( 3x + 7 )[/tex]
Solution = 2pi(3x + 7)
use factoring to solve
x^2-2x-35=0
Answer:
I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good
Answer:
The solution set of the quadratic equation is
x = {7, -5}
Step-by-step explanation:
Given the quadratic equation
[tex]$ x^2 - 2x -35 = 0 $[/tex]
We need to factor this equation
So you need two numbers such that
a + b = -2
and
a×b = -35
How about -7 and 5?
-7 + 5 = -2
-2 = -2
and
-7×5 = -35
-35 = -35
(x - 7)(x + 5) = 0
(x - 7) = 0
x = 7
and
(x + 5) = 0
x = -5
Therefore, the solution set of the quadratic equation is
x = {7, -5}
Verification:
Plug 7 into the quadratic equation
[tex]x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0[/tex]
Plug -5 into the quadratic equation
[tex]x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0[/tex]
12 is the median age of the kids at my camp. There are 10 kids who are older than 12 and 10 kids who are younger than 12.
Answer:
There are 25 kids in total.Step-by-step explanation:
Remember that the median represents the value at the middle, literally.
So, if 12 is the median, it means is the value at the center of the data set.
Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.
Therefore, there are 25 kids in total.
Can someone help me out solved this problem plz! I need help ASAP! Help me I will mark you as brainiest! Show steps!
Answer:
14 minutes...
Step-by-step explanation:
Wage for an hour: $11.50 per hour
Wage for first 35 hours: $11.50*35 = 402.5
Wage after 35 hours: $17.25 per hour
Earning in one week: $626.75
Therefore, hours worked :
$626.75 - 402.5 = 224.25
Now 224.25/17.25 = 13
Therefore total hours is
13+35 = 48 Hours
Mark as brainliest
A pool in the shape of a rectangular prism holds 648 cubic feet of water. The pool is 4 feet deep and 9 feet wide. What is the length of the pool in feet? *
Answer: The length is 18 feet.
Step-by-step explanation:
4 * 9 * l = 648 where l is the length in feet.
36 * l = 648
36l = 648
l = 18
Can anyone explain to me what I did wrong here? Thanks!
Answer:
B
Step-by-step explanation:
I think you are right
Hope it helps
A prism is filled with 48 cubes with a side length of 1/2 unit. What is the volume of the prism in cubic units?
Answer:
6 units cubed
Step-by-step explanation:
The volume will simply be the volumes of all the little cubes added together.
The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:
V = s³ = (1/2)³ = 1/8 units cubed
We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:
48 * (1/8) = 6 units cubed
Thus, the prism is 6 units cubed.
~ an aesthetics lover
Answer:
[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]
Given:
Total numbers of cubes in a prism = 48
Side length of each cube = [tex] \frac{1}{2} [/tex] unit
Step-by-step explanation:
[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]
[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]
Please help correct answer will be given brainiest!
Answer:
-12
Step-by-step explanation:
Each number is multiplied by -3 to get the next number. 4*(-3)=-12.
there are between 24 and 40 students in a class the ratio of boys to girls is 4:7 how many students are there in class
Answer:
[tex]\fbox{\begin{minipage}{2em}33\end{minipage}}[/tex]
Step-by-step explanation:
Given:
In a class the ratio of boys to girls is 4:7.
The total number of students is between 24 and 40.
Solve for:
The total number of students
Solution:
The total number of student could be divided in portions with ratio 4:7
=> It must be the divisor of (4 + 7) or 11.
Otherwise, it is a number between 24 and 40.
There is only one divisor of 11, lying between 24 and 40. That is 33
=> The total number of students: 33
Hope this helps!
:)
Would somebody help with this?
Answer:
Both A and D
Step-by-step explanation:
Not absolutely 100%, but I think it's the answer.
Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.
Answer:
The cost of one ft^2 of grass sod = $9
the cost of one geranium= $9
Step-by-step explanation:
Hi, to answer this question we have to write a cost equation for each one:
Heather : 14x+5y =171
Carlos: 6x+7y=117
Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.
Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:
98x+35y=1,197
-
30x+35y=585
____________
68x=612
Solving for x:
x = 612/68
x=$9 per ft2
Replacing x=9 on any equation:
6(9)+7y=117
54+7y=117
7y=117-54
7y=63
y=63/7
y=$9
I NEED ANSWERS FAST I WILL GIVE BRAINLIEST, FOR THE TUV one Using the following image, solve for
x
And for the other one find UW
Answer:
tuv x is 6
uvw x is 0
Step-by-step explanation:
are the ratios 1:3 and 4:12 equivalent
Answer:
Yes.
Step-by-step explanation:
When you simplify the ratio of 4:12, dividing it by 4, you will get 1:3.
Answer:
Yes it is equivalent
Step-by-step explanation:
Yes because 1*4= 4
And 3*4=12
That is 1/3 is equivalent to 4/12
You can say that 1:3 is in proportion with 4:12
or 1:3::4:12
solve tan x - cot x = -2cos 2x cosec 2x
Answer:
Step-by-step explanation:
tan x-cot x
[tex]=\frac{sin~x}{cos~x} -\frac{cos~x}{sin ~x} \\=\frac{sin^2x-cos^2 x}{sin ~x~cos~x} \\=\frac{-2(cos^2x-sin^2x)}{2 sin ~x~cos~x} \\=\frac{-2 cos~2x}{sin~2x} \\=-2 cos ~2x~cosec~2x[/tex]
What is the perimeter of the triangle?
Answer:
To find the perimeter of the triangle, you need to add up the three sides of the triangle
/\
1 /__\ 5
9
1+5+9
_________________________________
Hey!!
The formula to find perimeter of triangle is a+b+c
For example:
If a triangle has the sides of 5,4 and 3 respectively,then to find the perimeter of triangle,we have to use the formula a+b+c which equals to 12.
Hope it helps
Good luck on your assignment
___________________________________