Answer:
SAS
Step-by-step explanation:
in two triangles
if EC=DC
AC =BC
M<ECA =M<DCB "V.O.A"
THEN triangle ACE = triangle BCD
Simplify the expression. Write your answer as a power.
6^7•6^10 divided by 6^4•6^3
Answer:
[tex] {6}^{10} [/tex]
Step-by-step explanation:
[tex] \frac{6^7•6^{10}}{6^4•6^3} \\ \\ = \frac{6^7•6^{10}}{ {6}^{4 + 3} } \\ \\ = \frac{ \cancel{6^7}•6^{10}}{ \cancel{6^7}} \\ \\ = {6}^{10} [/tex]
When 'x' is multiplied by a number inside the parentheses, it causes what type of
transformation:
A small car has a tire with a 13-inch diameter. A truck has a tire with a 29-inch diameter. How much farther than the car does the truck have to drive for its tire to complete one revolution?
Answer:
50.27in
Step-by-step explanation:
Given data
Diameter of small tire= 13in
Radius= 13/2= 6.5in
Circumference= 2πr
C= 2*3.142*6.5
C= 40.85 in
Diameter of Big tire= 29in
Radius= 29/2= 14.5in
Circumference= 2πr
C= 2*3.142*14.5
C= 91.118in
Hence the difference in distance between the two tires after on revolution is
=91.118-40.85
=50.27in
8 squared + B squared = 10 squared
Right triangle Pythagorean theorem
Answer:
6
Step-by-step explanation:
It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.
The equation is a² + b² = c²
C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²
Therefore, 64 + b² =100
So b² = 36
By square rooting both sides we finally reach the answer b=6.
Hope I helped!! (p.s. maybe brainliest)
Find the areas of the trapezoids
Answer:
12 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4 ( perpendicular distance between the bases ) and
b₁ = SR = 2, b₂ = TA = 4 , then
A = [tex]\frac{1}{2}[/tex] × 4 × (2 + 4) = 2 × 6 = 12 units²
how do i find the surface area and volume of this shape?
Answer:
3,761.46 m³
Step-by-step explanation:
Volume of a cone = 1/3πr²h
π = 3.14
radius, r = diameter/2
= 25/2 = 12.5 m
Height, h = 23m
Volume of a cone = 1/3πr²h
= 1/3 * 3.14 * 12.5² * 23
= 1/3 * 3.14 * 156.25 * 23
= 11,284.375 / 3
= 3761.4583333333
Approximately,
Volume of the cone = 3,761.46 m³
what expressions are equivalent to 12x-42 (choose all that apply)
6(2x-7)
3(4x-39)
2(6x-21)
-2(-6x-40)
A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?
Answer:
4 months
Step-by-step explanation:
we take $300 ÷$75 which is per month
then we get 4 , which is our months
Factor completely:
3x2 - 75
Answer:
3(x + 5)(x − 5)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula:
a² − b² = (a + b)
(a − b)
where a = x and b = 5.
3(x + 5)(x − 5)
Or
Search it up for a more detailed answer through Goo gle.
Wendy and Connor each deposit 8,300 into accounts that earn 3.5% interest for 25 years Wendy's account earns annual simple interest sand Connor's account earns an annual compound interest who will earn more interest of 25 years and how much interest they will earn
Answer:
Connor will earn more interest because he is getting compound interest.
Step-by-step explanation:
I have to assume in this case that the interest is 3.5% Per year:
Simple Interest = P(r + t)
{P = Principle, r = interest rate, t = time)
Wendy = $8,300 x (3.5% x 25)
Wendy = $7,262.50 (2 d.p)
Wendy = $8,300 + $7,262.50
Wendy = $15,562.50
Compound Interest = [tex]P (1 +r )^{t}[/tex]
{P = Principle, r = interest rate, t = time)
Connor = $8,300 x [tex](1 + 0.035)^{25}[/tex]
Connor = $19,614.93
Wendy's Interest = $15,562.50 - $8,300 = $7,262.50
Connor's interest = $ 19,614.93 - $8,300 = $11,314.93
Connor earned more interest by $4,052.43
___________________________________________________
Hope this helps!
PLEASE MARK AS BRAINLIEST :)
Have a good day :)))))
The point (6, -6) is reflected over the x-axis. What are the coordinates of the resulting point
Answer:
(-6,-6)
Step-by-step explanation:
(x,y) becomes (-x,y) when reflected over the x-axis
2. (a) Find the area of this triangle.
12 cm
9 cm
(b) Suppose the base is doubled. Explain what happens to the original area.
(c) Suppose both the height and the base of the original triangle are doubled.
Explain what happens to the original area.
Answer: A)Area=1/2bh, 1/2x12x9=1/2x108,108/2=54cm2.
B)If the base doubles the original Area doubles.
C)If both the Height and the base is doubled then the Area will Quadruple.
Step-by-step explanation:
what is 50 + 9 - 6 equals
Answer:
53
Step-by-step explanation:
Answer:
53 is the answer.
Step-by-step explanation:
50 + 9 - 6
= 59 - 6
= 53
Find the slope of each line.
Answer:
C) 1
Step-by-step explanation:
Slope = change in y over change in x
In the graph shown as y goes up 1 x goes up 1
so slope = 1/1 or 1
The slope equation is y=mx+b.
b is where the line crosses on the y axis, also known as the y-intercept.
m is the slope, which you are trying to find.
y and x are the points on the graph.
The slope is 3/3, which can be turned into 1, so the answer is c.
Two-step equation
2x+5x=-1
What's the answer for x=
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
Fill in the blank. The solution to 2 x - 2 + 5 = 13 is ______
what can you conclude from the box-and-whisker plot?
Answer:
that it is a cat :')
Step-by-step explanation:
remember, whisker = cat
Writing the Standard Form of a Line
Try it
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point
slope form is y + 1 = 2/3 (x – 8).
____x + ____y = ____
Answer:
[tex]2x-3y = 19[/tex]
Step-by-step explanation:
In standard form, represented by the formula [tex]Ax+By=C[/tex], all the constants and coefficients of the terms are integers, the terms have no common factors (besides 1), and the number in place of A is positive. Knowing this, convert the equation to standard form like so:
[tex]y+1=\frac{2}{3} (x-8)\\y+1 = \frac{2}{3} x-\frac{16}{3} \\-\frac{2}{3} x+y+1 = -\frac{16}{3} \\-\frac{2}{3}x+y = -\frac{16}{3} -1\\-\frac{2}{3} x+y = -\frac{16}{3} -\frac{3}{3} \\-\frac{2}{3} x+y = -\frac{19}{3} \\2x-3y = 19[/tex]
The ratio of boys to girls in a certain school is 2:3 calculate how many boys are there if there are 1500 learners in the school.
Answer:
700
Step-by-step explanation:
Answer:
the answer is 900 students
Step-by-step explanation:
if there are 5 parts to the ratio then take that and divide it by the total number of learners and then multply it by the ratio for the boys
How many feet are in 32 yards?
384 feet
320 feet
96 feet
35 feet
Answer:
96 feet
Step-by-step explanation:
Answer:
32 yards is equal to 96 feet. Hope this helped!! :D
g(x)=-3x-8
g( )=10
what does x equal?
Answer: X = 24/G
G = 24/x
Step-by-step explanation:
Solve for c.
4+c= 10
Answer:
c = 6
Step-by-step explanation:
have a nice day :)
Answer:
c=6
Step-by-step explanation:
4+c=10
4-4 +c =10-4
c=6
In circle O, mZR = 23. Find mzo. (The figure is not drawn to scale.)
e
R
O 46
23
67
157
Answer:
A. 46Step-by-step explanation:
m<R=23
m<NQ=2(23)=46
m<O=m NQ =46
hope it helps....
✏---------------
m∠R=23mNQ=2(23)=46m∠O=m NQ=46➜➜➜➜➜➜
hope it helps
have a great day!!
Name the angle pairs that are vertical angles.
Select all angle pairs that are vertical angles.
A. ∠F and ∠L
B. ∠E and ∠N
C. ∠R and ∠V
D. ∠Y and ∠W
Answer:
A and C
Step-by-step explanation:
Vertical angles are angles that are created when two lines cross. They are angles opposite from each other. (another way of saying it:) Vertical angles are angles opposite each other where two lines cross.
Hope this helps! :)
A ball is thrown upward from a height of 15 feet with an initial velocity of 64 feet per second. Use indefinite integrals to write the position function of the ball at time t.
Answer:
The equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
Step-by-step explanation:
We can start by saying that the acceleration here is g = -9.81 m/s². The minus sign is because the gravity acceleration is a vector downward (negative value), and the ball is going upward (positive value).
And we know that acceleration can be written as a second derivative:
[tex]g=\frac{d^{2}y}{dt^{2}}=y''[/tex] (1)
Now, we can take the integral in each side:
[tex]\int gdt=\int y''dt[/tex]
[tex]\int y''dt=\int -9.81dt[/tex] (2)
Solving the integral in each side we have:
[tex]y'(t)=-9.81t+C[/tex] (3)
Where y'(t) is the velocity at t time (v = dy/dt = y' ) and c is a constant value.
Now, the initial conditions are:
initial height y(0) = 15 feet
initial velocity y'(0) = v(0) = 64 feet/s
Using this condition we can find C. Let's evaluate equation (3) at t = 0.
[tex]y'(0)=-9.81(0)+C[/tex]
[tex]C=64\: feet/s[/tex]
So we have:
[tex]y'(t)=-9.81t+64[/tex] (4)
Now, we need to take the integral of equation (4) to get the position function:
[tex]\int y'(t)dt=\int (-9.81t+64)dt[/tex]
Solving this new integral we have:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+D[/tex] (5)
Using the same method above, we can find D evaluating (5) at t = 0, we have:
[tex]y(0)=-\frac{1}{2}9.81(0)^{2}+64(0)+D[/tex]
[tex]D=y(0)[/tex]
[tex]D=15\: feet[/tex]
Finally, the equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
I hope it helps you!
which property is BEST to use when combining 3/5 + 1/4 + 2/5? A) distributive property B) identity property of addition C) additive inverse property D) commutative property of addition
Answer:
D Community property of addition
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?
A $28.80
B $2,880.00
C $508.80
D $768.00
Answer:
c
Step-by-step explanation:
Is 40, 25, 85 a pythagorean triple?
Answer:
no
Step-by-step explanation:
40² + 25² = 85²
1600 + 625 = 7225
2225 = 7225
3 + 2x - y = 0, -3 - 7y = 10x}
Answer:
In point form:
( -1 , 1 )
In equation form:
x = − 1 , y = 1
Plz help
The point of intersection of two function is also called the
A. Center
B. Equation
C. Vertex
D. Solution
Answer:
Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball