The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
hi could you please tell me the answer to this?
Answer:
5
Step-by-step explanation:
5
The ratio of students to teachers at a school is 19 : 1. At this school, there are 400 people (teachers and students). How many of these 400 people are students? (enter number only, without the unit)
Answer:
There are 380 students and 20 teachers.
Answer:
380
Step-by-step explanation:
Let 19x = no. of students
x = no. of teachers
Then, x + 19x = 400
20x = 400
x = 20
19x = 19(20) = 380
5 Marta designs a logo for her mother's business,
X-treme Nutrition. The logo is shown.
35°
35°
b
Which equation and solution best represents
angle b?
A b + 35 = 90; b = 55°
B b-35 = 35; b = 70°
C 6+ 70 = 180; b = 110°
D b + 35 = 180; b = 145°
Answer:
(C). b + (2 × 35) = 180; b = 110°
Step-by-step explanation:
Select the correct answer.
Answer:
a
Step-by-step explanation:
i did this test and question beforer si know what it iso
The number of incidents in which police were needed for a sample of 10 schools in one county is:
6
40
49
4
42
47
17
8
32 11
Find the first and third quartiles for the data.
Part: 0/2
Part 1 of 2
First quartile Q, is
Answer:
3Step-by-step explanation:
expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and
For what value of k is the expression x^4 + kx^2 + 49 a perfect square?
Answer:
[tex]k=14[/tex]
Step-by-step explanation:
Completing the square gives
[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]
So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.
Answer:
k=± 14
Step-by-step explanation:
[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]
whats 3472532*67 then divided by 3? Thank you! -Ibuki
Answer:
77,553,214.66666667
Step-by-step explanation:
calculater
Answer:
77553214 2/3
Step-by-step explanation:
i squeezed out the baby yet i have no idea who the father is
Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?
Will give, Branliest.
Answer:
24
Step-by-step explanation:
x * 5 - 17 = 103
x * 5 = 120
x = 24
Answer:
s=24
103+17=120
120÷5=24
making the answer 24
Please mark brainliest
please helpppp and explain
Answer:
angle BAC=50-2x
Step-by-step explanation:
angle ACD=115+x
then, angle ACB=180-(115+x) because it is a supplementary angle
angle ABC=angle ACB because it is an isosceles triangle
angle BAC=180-2[180-(115+x)]
angle BAC=180-360+230-2x
angle BAC=50-2x
Given that is the midpoint of AB and E is the midpoint of AC, AD =32cm, AE=19cm, and DE=39cm, determine the perimeter of DBCE
Answer:
since triangle AED similar to ACB
CE=19cm mid point bisect it
BD=32Cm mid point bisect it
Step-by-step explanation:
BC=2DE=2×39=78Cm
perimeter=sum of all side=ce+de+bd+bc=19+39+32+78=168cmtherefore perimeter of DBCE=168Cmplease help! it would be much appreciated
Answer:
20
Step-by-step explanation:
Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, that Mr. Brown purchased?
A. t = 160 + 75(10)
B. 75 + t(10) = 160
C. 75t + 10 =160
D. 160t - 75 = 10
Could you show your work? Thanks!
Answer:
Step-by-step explanation:
The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.
please help omg ♀️ !!
Answer:
first blank: 50-10=40
second blank: 50-20=30
third blank: 50-25=25
Step-by-step explanation:
hope this helps!
Answer:
Step-by-step explanation:
40 30 25
10 20 25
40 30 25
y=x-2
make x the subject
Answer:
x + 2 = y
Step-by-step explanation:
y = x - 2
x = y - 2
x + 2 = y
Answer:
x=y-2Step-by-step explanation:
x equals y -2 that is the answer to this equation
A certain brand of shampoo contains 12 ounces in a bottle. The company
decides to redesign the shape of the shampoo bottle. The new type of
bottle contains 15 ounces of shampoo. What is the percent of increase in
the amount of shampoo the new bottle contains?
Answer: 15% I think
Step-by-step explanation:
The percent of increase in the amount of shampoo the new bottle contains is 25%.
Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.
What is the percentage of increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.
Percentage increase = (Final value - Initial value) / Initial value × 100
Now, initial value = 12 and final value = 15
Percentage increase = (15-12)/12 × 100
= 3/12 × 100
= 1/4 × 100
=25%
Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.
To learn more about the percentage increase visit:
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I will give BRAINLIEST:)
Answer:
A'C'=AC=3
Step-by-step explanation:
Answer:
C: 3 units
Step-by-step explanation:
Just think about it... 180 degrees rotated is exactly opposite rotation degree.
If you rotate 90 degrees, the triangle will end up on quadrant 4.
Rotate 360 degrees, the triangle will stay in the same quadrant.
In conclusion, C is the best option
solve each equation below showing every step checking your solution is optional
Answer:
x=4
Step-by-step explanation:
Answer:
for question d, 58.3 repeated
Step-by-step explanation:
cross multiply 3x=175
175/3= 58.3 repeated or 58 and one third.
Juliette made cookies for a bake sale and wants to package the same number of cookies together. If she makes 16 chocolate chip cookies, 32 mint cookies, and 24 gingerbread cookies, what is the most number of each type of cookie that will be in the bag?
Answer:
8 cookies
Step-by-step explanation:
We are asked in the above question to find the most number of cookies that would be in the bag.
We solve the above question using the Greatest Common Factor method
We find the factors of 16, 24, 32
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 32 are: 1, 2, 4, 8, 16, 32
Then the greatest common factor is 8.
Therefore, the most number of each type of cookie that will be in the bag is 8 cookies
Here are sketches of four triangles in each triangle the longest side is exactly 1cm the other length is given to 2 decimal places work out the value of x give your answer to 1 decimal place 4 cm 57°
If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.
Then the value of x will be
The value of x will be given by the sine rule.
sin θ = x/h
WE have
θ = 57°
h = 4 cm
Then we have
sin 57° = x/4
x = 3.3546
x ≅ 3.36
More about the right-angle triangle link is given below.
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Math Help plz. I cant figure it out.
Answer:-1 1/3 because 5 1/3+-4 1/6 is like subtracting them as a positive and you get 1 1/6 then subtract 2 1/2 to get -1 1/3
Step-by-step explanation:
I need help with this please
Answer:
Car B is going faster
Step-by-step explanation:
Car B has a higher rate.(It goes 20 more miles per hour)
A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find the
ratio of rabbits to the total number of animals. Write the ratio in
simplest form.
Answer:
3:7
Step-by-step explanation:
The number of rabbits is 12 while the total number of animals
7 + 12 + 6 + 3 = 28
So the ratio of rabbits to animals is 12:28 = 3:7
The track team is trying to reduce their time for a relay race. First they reduce their time by 1.2 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.60 minutes, what was their beginning time?
Answer:
5.2 Minutes, or 5 minutes and 12 seconds
Step-by-step explanation:
You can solve this problem by working backward. Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already. When we do this, we get 4.0. When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.
410 is what percent of 65?
Answer:
15.85%
Step-by-step explanation:
you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.
Write the equation of a line that is parallel to the line y=4x+2 and passes through the point (4,1)
Answer:
y = 4x-13
Step-by-step explanation:
The standard equation of the line is y = mx+c
m is the slope
c is the intercept
Given the equation y = 4x+2
The slope m = 4
Substitute m = 4 and the given point into the formula y = mx+c
1 = 4(4)+c
1 = 14+c
c = -13
Get the equation
Recall that y = mx+c
y = 4x + (-13)
y = 4x-13
Hence the required equation is y = 4x-13
Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron Plant to jog this week?
Answer:
4.5 miles
Step-by-step explanation:
2 times as far as last week
last week was 2.25 miles
2* 2.25 = 4.5 miles
A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.
Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
What is equivalent to 7x(4x-5)
7x(4x-5)
Distribute
28x^2-35x
Ans : 28x^2-35x
Answer:
28x - 5
Step-by-step explanation:
coeffecients with the same variable can be multiplied added subtracted divided so i multiplied 7 and 4 because they have the same variable which is X so it would be 28x and you can't multiply 7x by 5 because it doesnt have a variable consider multiplying if it has the same variable when it has a variable. so it would just be 28x - 5