Answer:
Yes, it's a right triangle.
Step-by-step explanation:
Use a^2 + b^2 = c^2
10^2 + 12.49 ^2 (its 2 39 square root) = 16^2
100 + 156 = 256
256 = 256
It ended up being equal to one another so yes, it is a right triangle.
Grace has $81 in her bank account and deposits $68 per month into her account. Jasmine has $53 and deposits $75 per month into her account. Enter the number of months it will take for both Grace and Jasmine to have the same amount of money in their accounts.
Answer:
4 months
Step-by-step explanation:
Let the number of months that they deposit into their accounts be m.
Grace has $81 in her bank account and deposits $68 per month into her account. This means that after m months, she will have:
81 + 68m
Jasmine has $53 and deposits $75 per month into her account. This means that after m months, she will have:
53 + 75m
To find the number of months it will take for them to have the same amount, we equate the amount that they each have:
81 + 68m = 53 + 75m
Collect like terms and simplify:
81 - 53 = 75m - 68m
28 = 7m
=> m = 28 / 7 = 4
It will take 4 months for them to have the same amount.
Dylan invested $7,200 in an account paying an interest rate of 2.3% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?
Answer:
$9,481.01
Step-by-step explanation:
The formula for compound amounts is
A = P(1 + r/n)^(nt), where n is the number of compounding periods per year, t is the number of years, P is the initial amount invested and r is the annual interest rate as a decimal fraction.
Here,
A = ($7,200)(1 + 0.023/4)^(12*4)
Evaluating this we get:
A = ($7,200)(1.00575)^48, or
A = ($7,200)(`1.3168) = $9,481.01
Answer:
9,481.01
Step-by-step explanation:
What is equivalent to 1 1/2
Answer:
1 1/2 is equal to 1.5.
Step-by-step explanation:
1/2 converted is .5.
A half of 1 is .5 or 1/2.
Answer: 1 1/2 is equal to 1.5.
Find the surface area of the prism. 10m 15m 16m 17m 17m
is it a rectangular prism
Answer should be in Polynomial in standard form.
(x-3)(x-4)
Answer:
x² - 7x + 12
Step-by-step explanation:
(x - 3)(x - 4) FOIL
x²- 4x - 3x + 12 Combine like terms
x² - 7x + 12
Which pair of symbols shows the correct signs for allordered pairs that are located in Quadrant II
Answer:
Quad II's Symbols are (-, +)
Step-by-step explanation:
|
Quad 2 | Quad 1
|
|
_______________________________
|
Quad 3 | Quad 4
|
|
The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equation is not equivalent to the Pythagorean
Theorem? please answer fast
Answer:
the third one
Step-by-step explanation:
the hypotenuse cannot be gotten by subtracting the two shorter sides
Multiply this problem 2/7 x 21
Answer:
6
Step-by-step explanation:
2/7 times 21 equals 6. Next time, don't ask as a brainly question and use calculator so you don't waste/lose your points.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Which statement is true about the difference 2 square root of 7 − square root of 28 ?
Group of answer choices
A) It is rational and equal to −2.
B) It is rational and equal to 0.
C) It is irrational and equal to −2 square root of 7 .
D) It is irrational and equal to square root of 7 .
I'll go slow:
[tex]2\sqrt 7 - \sqrt{28}[/tex]
[tex]=2 \sqrt 7 - \sqrt{4 \cdot 7}[/tex]
[tex]=2 \sqrt 7 - \sqrt{4} \cdot \sqrt{7}[/tex]
[tex]=2 \sqrt7 - 2 \sqrt 7[/tex]
[tex]=0[/tex]
Answer: B rational and equal to 0.
Solve the equation.
5x + 8 - 3x = -10
x = -9
x = -1
оооо
X = 1
O x= 9
Answer:
x = -9
Step-by-step explanation:
5x + 8 - 3x = -10
Combine like terms
2x +8 = -10
Subtract 8 from each side
2x+8-8 = -10-8
2x = -18
Divide each side by 2
2x/2 = -18/2
x = -9
What is the mean of the data set below? Round to the nearest tenth when necessary. 18, 20, 24, 26, 32 *
Answer:
The answer is 24
Step-by-step explanation:
Add 18, 20, 24, 26, 32= 120
then divide by 5.
Dreg earns $6.80 per hour. On Saturday he worked from 9:00 A.M.
to 3:30 P.M. How much did he earn?
Answer:
$44.20
Step-by-step explanation:
First, calculate how many hours he worked. From 9:00am-3:30pm he worked 6.5 hours. We're going to multiply the hourly rate, $6.80 by how many hours he worked. Since he also worked an extra half hour and not a full hour we're going to divide $6.80 by 2. Then add both of the calculations up to get the asnwer.
6.8(6)=40.8
6.80/2=3.4
40.8+3.4=44.2
He earned $44.20.
What is important to keep in mind when selecting a sample?
a. The sample should be chosen based on specific criteria, such as the youngest students in the class.
b. The sample should be chosen at random so that it is fair.
c. The sample should consist of every person in the population being studied.
d. The sample size should always be exactly one person or piece of data.
Answer: b. The sample should be chosen at random so that it is fair.
Step-by-step explanation:
One of the most important things when selecting a sample is that the sample must be totally random if the sample is not random (for example, selecting only the youngest people in a group or things like that) there is a high probability that the sample will be biassed towards something, so the study may not be really accurate for all the population.
The correct option is b. The sample should be chosen at random so that it is fair.
Find the diameter of each circle.
Answer:
Diameter Length: ( About ) 5.4 km; Option B
Step-by-step explanation:
~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~
1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒
radius = ( About ) 2.7
2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km
Diameter Length: ( About ) 5.4 km
Zach wants to buy a new movie for $25. He already has $11 saved and his mom will give him $2 for each chore he does. What is the least amount of chores Zach will have to do in order to save enough money for the movie.
You are stacking wooden blocks (cubes) whose sides are all 1 1/4 inches how many blocks do you need to stack or build a block tower that is 7 1/2 inches tall
Answer: You need to stack 6 blocks to build the block tower.
Step-by-step explanation:
Hi, to answer this question we simply have to divide the tower's height (7 1/2) by the side length of the cubes (1 1/4).
Mathematically speaking:
7 1/2 ÷1 1/4 = (7x2+1) /2 ÷ (1x4+1)/4 = 15/2 ÷ 5/4 = (15x4) / (2x5) = 60/10 =6 cubes
You need to stack 6 blocks to build the block tower.
Feel free to ask for more if needed or if you did not understand something.
PLEASE PLEASE PLEASE HELP WILL MARK BRAINLIEST
Answer:
1) Perpendicular
2) Parallel
3) Neither
4) Neither
Step-by-step explanation:
Answer:
1. Perpendicular
2. Parallel
3. Neither
4. Neither
Step-by-step explanation:
Perpendicular lines intersect at 90 degree angles
Parallel lines are lines that are straight and don't meet.
Find the product. 4x^3y(-2x^2y)
Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a rotation about point Q
A: -90
B: -60
C: 60
D: 90
When a shape is rotated, it must be rotated through a point.
The rotation from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] is (d) [tex]90^o[/tex]
To determine the angle of rotation from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex], we use the following steps
Connect a point and the image of the point to the center of rotation.Measure the angle at the point of rotationDraw an arrow from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] to determine the direction of rotation.See attachment for illustration.
From the attached image;
We draw A and A' to point QThen we measure the angle at Q; this gives [tex]90^o[/tex].The arrow from [tex]ABCD[/tex] to [tex]A'B'C'D'[/tex] indicates a clockwise directionHence, the angle of rotation is D: 90
Read more about rotations at:
https://brainly.com/question/1571997
Someone please help me
Step-by-step explanation:
-12.6x - 4.9x = -154
-17.5x = -154
17.5x = 154
x = 154/17.5
x = 8.8
#CMIIW
How many equivalent fractions can I make in order to be the same answer to 2/3
Answer:
Technically there's an infinite number of equivalent fractions for 2/3 but to list a few 4/6, 6/9, 8/12, 12/18, 18/27.
Step-by-step explanation:
Hope this helps!
-MoCKEry
Round the following number as indicated 106,513
Answer: i will put the answer as a comment but what are you rounding to
Step-by-step explanation:
Answer:
Depends on what you're round to. Read below.
Step-by-step explanation:
To the 100,000 place:
100,000
To the 10,000 place:
110,000
To the 1,000 place:
107,000
To the 100 place:
106,500
To the 10 place:
106,510
To the 1 place:
106,513
the difference between 8 forty-sevens and 5 forty-sevens
Answer:
8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3
Hope this helps!
:)
Answer:
8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3
Hope this helps!
:)
Step-by-step explanation:
Bridget, Jim and Krutika share some sweets in the ratio 5:2:4. Bridget gets 40 sweets. How many did Krutika get?
Answer:
Krutika gets 32 sweets
Step-by-step explanation:
Let the number of sweets be x
Bridget= 5x sweets
Jim= 2x sweets
Krutika= 4x sweets
5x= 40; x= 40/5; x=8
Krutika gets 4x= 4×8
Krutika gets 32 sweets
A regular hexagon and a regular octagon are joined as shown on the diagram
Work out the size of angle x
Answer:
x = 105°
Step-by-step explanation:
The shape above is a regular hexagon and a regular octagon the both of them have the same interior angle through out. For a polygon to be regular all it interior angle are the same .
sum of interior angles of a polygon = (n - 2)180°
where
n = number of sides
Therefore,
sum of interior angle of a hexagon = (6 - 2)180
sum of interior angle of a hexagon = (4)180
sum of interior angle of a hexagon = 720
each angle of a regular hexagon = 720/6 = 120°
sum of interior angles of an octagon = (8- 2)180
sum of interior angles of an octagon = (6)180
sum of interior angles of an octagon = 1080
each angle of a regular octagon = 1080/8 = 135°
All the angle around a point add up to 360°. So if we take the interior angle from 360° we will get angle x
360 - (135° + 120°)
360 - 255
x = 105°
Answer:
105
Step-by-step explanation:
Mrs. Kramer bought some markers at the school supply store, including 8 black
markers. 80% of all the markers she bought were black
How many markers did Mrs. Kramer buy in all?
A -28
B-10
C-20
D-16
Answer:
The answer is 10
Step-by-step explanation:
What is an equation of the line that passes through the points (6,0) and (−1,−7)
Answer: y= 1x - 6
Step-by-step explanation:
(6,0) (-1,-7)
0-(-7)= 7
6-(-1)= 7
7/7= 1 so the slope is 1 and we just need to find the y-intercept and we will do that by using the formula y= mx +b
-7= 1(-1) + b
-7= -1 + b
+1 + 1
b= -6 so the y-intercept is -6.
Answer:
y= 1x - 6
Step-by-step explanation:
just got it right!!: )
I broke my laptop sorry about the spots
Answer: [tex]3x^2-x+3[/tex]
Step-by-step explanation:
[tex](4x^2-x+6)-(x^2+3)[/tex]
Distribute the negative sign. This basically changes all the signs inside the parentheses.
[tex]4x^2-x+6-x^2-3[/tex]
Combine like terms;
[tex]3x^2-x+3[/tex]
The length and breadth of a rectangular shaped plot is 1215 m and 527 m respectively. Find its perimeter.
Answer:
3484m
Step-by-step explanation:
Perimeter of a rectangle= 2(L+B) where L= Length and B= Breadth
Length of the plot= 1215m
Breadth= 527m
∴ Perimeter of the plot= 2(1215m+527m)
= 2(1742m)
= 3484m
Hope this helps!!!
If a dress costs $27.00 when it is on sale for 10% off, what is its original cost?