Answers
Answer:
AB = 17 m, AC ≈ 19.2 m
Step-by-step explanation:
Drawing a line from A to the base creates a right triangle
with legs 8 and (25 - 10 ) = 15
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AB² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )
AB = [tex]\sqrt{289}[/tex] = 17 m
------------------------------------
Using Pythagoras' identity i right triangle ABC
AC² = AB² + BC² = 17² + 9² = 289 + 81 = 370 ( take square root of both sides )
AC = [tex]\sqrt{370}[/tex] ≈ 19.2 m ( to 1 dec. place )
Related Questions
question 6 and the answers for the 4 blank boxes plz i give for 22 points
Answers
I need help what is the sign of a. -b/b when a= 0 and b <0
Answers
Answer:
z
Step-by-step explanation:
the same time as the first time since
A rectangular tile measures 3 inches by 4 inches. What is the fewest number of these tiles that are needed to completely cover a rectangular region that is 2 feet by 5 feet
Answers
1 foot = 12 inches.
Convert the dimensions of the region to inches:
2 feet = 24 inches
5 feet = 60 inches
Area of region = 24 x 60 = 1,440 sq. In.
Area of tile = 3 x 4 = 12 sq. In.
Number of tiles needed = 1440/12 = 120
120 tiles are needed.
HELP ASAP! DUE AT 10:30 AM EST PLEASE SHOW YOUR WORK / HOW YOU GOT THE ANSWER STEP BY STEP
1/3 - 2y/9 = 19
Answers
Step-by-step explanation:
[tex] \frac{1}{3 } - \frac{2y}{9} = 19 \\ \frac{3 - 2y}{9} = \frac{171}{9} \\ 3 - 2y = 171 \\ 2y = 3 - 171 \\ 2y = - 168 \\ y = - 168 \div 2 \\ y = - 84[/tex]
Answer: y = − 84
Step-by-step explanation:
Simplify 5(3y−1)−3(2y)
9y=24
divide by each term by 9
y=-84
Please look at photo. Make sure to regroup and write your answer in simplest form.
Answers
Answer:
8 2/11
Step-by-step explanation:
Add the fractions 5/11 + 8/11 = 13/11
Then add the the whole numbers 4 + 3 = 7
then you 7 and 13/11
Simplify to get 8 2/11
coin
coin
2.
You have a bag of 17 marbles.
Four are blue, 6 are green, 2 are
red, and the others are yellow.
What is the probability of drawing
a red marble, putting it aside, and
then drawing a green marble?
Answers
Answer:
3/68
Step-by-step explanation:
Simplify the expression (6^2)^4.
Answers
Answer:
1679616
Step-by-step explanation:
36^4
Answer:
1679616
17 (simplified)
Step-by-step explanation:
Apply the exponent rule (what exponents do)
(6^2)^4 = 6^2*4
= 6^2*4
Multiply the numbers: 2*4=8
=6^8
6^8 = 1679616
© Colin invests £14100 into his bank account.
He receives 9.0% per year simple interest.
How much will Colin have after 5 years?
Give your answer to the nearest penny where appropriate.
Answers
Answer:
6350
Step-by-step explanation:
srry if it's wrong :(
Jordan was given the expression 2x2^-3 x 2^-5 How should he write the expression as a fraction? Describe the exponent rules Jordan should use to simplify the expression
Answers
Answer:
[tex]2*2^{-3} * 2^{-5} =\frac{1}{128}[/tex]
Step-by-step explanation:
Given
[tex]2*2^{-3} * 2^{-5}[/tex]
Required
Write as a fraction
To do this, Jordan has to apply the following rules
Negative Exponent rule:
[tex]a^{-m} = \frac{1}{a^m}[/tex]
So, the expression is:
[tex]2*2^{-3} * 2^{-5} = \frac{2}{2^3 * 2^5}[/tex]
To solve further, we apply the product rule of exponent
[tex]a^m * a^n = a^{m+n}[/tex]
So, the expression is:
[tex]2*2^{-3} * 2^{-5} =\frac{2}{2^{3+5}}[/tex]
[tex]2*2^{-3} * 2^{-5} =\frac{2}{2^8}[/tex]
Evaluate the exponents
[tex]2*2^{-3} * 2^{-5} =\frac{2}{256}[/tex]
Divide the numerator and denominator by 2
[tex]2*2^{-3} * 2^{-5} =\frac{2/2}{256/2}[/tex]
[tex]2*2^{-3} * 2^{-5} =\frac{1}{128}[/tex]
Please help with this question.
Find the unit rate.
Answers
Answer: 120
Step-by-step explanation:
2 = 240
240 / 2 = 120
unit = per
so the answer will be 120 calories
Answer:
2:240 or 2/240, whichever you like better. If you need a single unit answer, you would just divide this rate shown by 2 in order to get 1/120 or 1:120
Step-by-step explanation:
Every single part of the chart adds the first number. 2+2=4+2=6+2=8
Same thing with the bottom, 240+240=480+240=720+240=960.
The unit rate would be 2/240 by that logic, because for every 2 servings there are 240 calories.
if you know plzz tell me! asap
question number 8
Answers
Answer:D
Step-by-step explanation:
There are eight girls and four boys what is the probability of selecting a boy
Answers
Answer:OK
Step-by-step explanation:
20
-
-47 > -4
-4; because
4. is to the right of – 4;
True
False
Answers
i will give brainlist need help
Answers
Answer:
the answer is 20
Step-by-step explanation:
just solved it
Answer:
8 oranges
Step-by-step explanation:
12 apples in ratio 3:2
Simplify ratio
12/3 = 4
4 x 2 = 8 oranges
hii please help i’ll give brainliest if you give a correct answer tysm
Answers
Answer:
The correct answers are:
A
D
E
Step-by-step explanation:
6 faces
2 triangles
4 squares
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
13x = 2(5x+3) solve for x
Answers
Answer:
13x=2(5x+3)
13x=10x+6
13x-10x=6
3x=6
x= 6/3
x=2
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
13x=2(5x+3)
13x=(2)(5x)+(2)(3)(Distribute)
13x=10x+6
Step 2: Subtract 10x from both sides.
13x−10x=10x+6−10x
3x=6
Step 3: Divide both sides by 3.
3x/3=6/3
Answer:
x=2
have a nice day!!!
A homeowner purchased the following items to repair a door. • 1 box of screws priced at $3.75 • 1 tube of caulk priced at $3.99 • 2 pieces of glass priced at $12.50 each What was the total price in dollars and cents the homeowner paid for these items? Record your answer in the boxes below. Be sure to use the correct place value. +/-
Answers
The answer is $32.74.
$3.75+$3.99+$12.50+$12.50 is $32.74.
If this is incorrect, please, don't refrain to tell me.
6^2.6^4 plz plz plz p
Answers
Answer:
6^6 = 46656
Step-by-step explanation:
I’m assuming your saying: 6^2 · 6^4, which is equivalent to 6^6 because if two numbers have the same base (in this case it’s 6), then you just add the exponents: add the exponents 2 + 4 = 6 ⇒ 6^6
6^6 = 46656
Analyzing an Error
A student simplifies (6b + 4r) – (2b + r) and says that the result is 4b + 5r. Explain the error and describe the correct steps to simplify the expression.
Answers
Answer:
4b +3r
The student did not subtract both terms in the second parentheses
Step-by-step explanation:
(6b + 4r) – (2b + r)
Distribute the minus sign to all terms in the second parentheses
6b + 4r – 2b - r
Combine like terms
6b -2b +4r -r
4b +3r
The student did not subtract both terms in the second parentheses
Answer:
4b+3r
Step-by-step explanation:
(6b+4r)-(2b+r)
Distribute the negative symbol across the second set of parenthesis.
6b+4r-2b-r
Add like terms
4b+3r
Error: the student added r instead of subtracting it. They most likely only distributed the negative to the 2b.
. Find the height of a cuboid of volume 100 cm', whose length and breadth are 5 cm and 4
cm respectively
Answers
Answer:
Height of the cuboid = 5 cm
Step-by-step explanation:
Volume of a cuboid = length × width × height
Volume of the cuboid = 100 cm³
Length = 5 cm
Width = 4 cm
Height = h cm
Volume of a cuboid = length × width × height
100 cm³ = 5 cm × 4 cm × h cm
100 = 20h
Divide both sides by 20
h = 100/20
h = 5
Height of the cuboid = 5 cm
A mathematics book has 360 pages, of which 50% are on algebra, 20% on geometry and the remainder on arithmetic how many pages are left
Answers
Answer:
30% of the pages are arithmetic, or 108 pages
Step-by-step explanation:
50% are on algebra = 180 pages
360 x .5 = 180
20% are on geometry = 72 pages
360 x .2 = 72
30% are on arithmetic = 108
180 + 72 + 108 = 360 pages
50% + 20% + 30% = 100%
What is the value of the expression 4x – x , for x = 2
Answers
Answer:
6
Step-by-step explanation:
Substitute 2 for x in the equation.
4(2) - 2 =?
8 - 2= 6
Which ordered pair does not represent a point on the square?
Answers
Answer:
D
Step-by-step explanation:
-2, 1 is not a point in the square but - 2, 2 is so the answer should be D -2,1
If my answer helped, kindly mark me as the brainliest!!
Answer:
3,2
Step-by-step explanation:
This is because if u look closely you can see that all of these escept the (3,2) will be on the square. Hope this helps
PLEASE Find the scale factor that was used
Will give brainliest!!
Check provided photo.
Answers
Answer:
1/4
Step-by-step explanation:
Scale factor = 3/12 = 1/4
y=x/3 is this a linear or a nonlinear?
Answers
Write the polynomial as a
product of linear factors,
x^4-5x^2-36
Answers
9514 1404 393
Answer:
(x +3)(x -3)(x +2i)(x -2i)
Step-by-step explanation:
The factoring to quadratics makes use of the fact that -36 = (-9)(4).
x^4 -5x^2 -36
= x^4 -9x^2 +4x^2 -36
= x^2(x^2 -9) +4(x^2 -9)
= (x^2 +4)(x^2 -9)
The form for factoring the difference of squares comes into play here. Of course -4 = (2i)^2.
= (x^2 -(2i)^2)(x^2 -3^2)
= (x -2i)(x +2i)(x -3)(x +3) . . . factored to linear terms
determine whether it is a solution to u <8
Answers
Answer:
Actually, it is
Examine the graph
shown to the left.
Identify the scale
factor used to
dilate XYZ to
form XY'Z'.
2
Answers
Answer:
The scale factor is 3
Step-by-step explanation:
Dilations
A dilation is a transformation that produces an image that has the same shape as the original but has a different size.
A dilation is described by the scale factor or constant of dilation and the center of the dilation.
We are given a triangle XYZ of coordinates given in the graph to the left:
X=(-1,1), Y=(-1,4), Z=(-2,1)
It was dilated to triangle X'Y'Z' with coordinates:
X'=(-3,3), Y=(-3,12), Z=(-6,3)
Note each coordinate of the dilated triangle is three times the coordinates of the original triangle, thus the scale factor is 3
How do I solve this using long division?
Answers
Answer:
You can't.
Step-by-step explanation:
When you divide it you get x+5.
Answer:
(x - 2)(x + 5)
Step-by-step explanation:
x +5
----------------------
x - 2 | x² + 3x - 10
x² - 2x ↓
------------------------
5x - 10
5x - 10
------------------------
0 ← remainder = 0
quotient = x + 5
Then x² + 3x - 10 = (x - 2)(x + 5 )
How would this triangle be classified?
Answers
Answer:
d) isosceles right
Step-by-step explanation:
2 sides of the triangle are equal and one side isn’t and thats an isosceles triangle And one angle is equal to 90 degrees.
