Step-by-step explanation:
AC= 8x-14
AC+14=8x
x=(AC+14)÷8
EC=2x+11
EC-11=2x
x=(EC-11)÷2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Explain how you would add 38+45
Answer:
83
Step-by-step explanation:
first add whatever is in the 1's place so for 38, 8 is in the 1's place and for 45, 5 is in the 1's place
so first it will be 8+5 which is 13 so you are going to carry the 1 over to the tens place so now it will be 30 + 40 + 10 and that equals 80 so you add 80 and 3 which looks like 80+3 and that equals 83
Use the order of operations to simplify the expression.
(5)^2 - (1/4)^2
[tex]5^2 - \left(\dfrac 14 \right)^2= 25 - \dfrac{1}{16} = \dfrac{400-1}{16} = \dfrac{399}{16}=24\dfrac{15}{16}[/tex]
solve the formula P = 2l + 2w for w.
We are given the following equation :
[tex]{:\implies \quad \sf P=2L+2w}[/tex]
And we need to solve for w, so let's start :
[tex]{:\implies \quad \sf P=2L+2w}[/tex]
Now, transpose 2L to LHS ;
[tex]{:\implies \quad \sf P-2L=2w}[/tex]
[tex]{:\implies \quad \sf 2w=P-2L}[/tex]
[tex]{:\implies \quad \boxed{\bf{w=\dfrac{(P-2L)}{2}}}}[/tex]
Hence, Option a) is correct
Find the distance between the two points rounding to the nearest tenth (if necessary). (-8,-6) and (-3,-4)
Answer:
9.8
Step-by-step explanation:
The distance is calculated using the formula d=√(x2-x1)²+(y2-y1)².
The first thing to do is subtract to find the necessary values.
X 8 - 4 = 4
Y -3 - 6 = -9
d=√(4)²+(9)²
d=√(16 + 81)
d=√97
d = 9.8488578018 or 9.8
a man buys a vehicle at a cost prize of R60 000 from Cape Town. He transported the vehicle from cape town to Gauteng province, where he stays, at a cost prize of R4 500. at what prize must he sell the car to make an overall profit of 25% ?
Answer:
R80625
Step-by-step explanation:
Total Cost : 60000 + 4500 = 64500
To make 25% profit: 64500 X 1.25 = 80625
Rotate the given triangle 180° counter-clockwise about the origin. [ 0 -3 5 ] [0 1 2]
Answer:
[tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]
Step-by-step explanation:
Rotation 180° (in either direction) about the origin causes each coordinate to have its sign changed. Effectively, the coordinate matrix is multiplied by -1.
__
Additional comment
This is equivalent to reflection across the origin.
find product of 9000and800
Answer:
7200000
Step-by-step explanation:
The probability that an international flight leaving the United States is delayed in departing (event D) is 34. The probability that an
international flight leaving the United States is a transpacific flight (event A is 51. The probability that an international flight leaving the
U.S. is a transpacific flight and is delayed in departing is 13.
(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a
transpacific flight? (Round your answer to 4 decimal places.)
Answer:
the answer is answer nice answer my answer
Step-by-step explanation:
if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer
help me plssssssssss
Answer:
<E=<I (it is a rotated triangle of 180 degrees)
<F=<H (they are both right triangles)
<EGF=<IGH (vertical angles are congruent)
segment FE=segment IH (cpctc)
segment EG=segment HG (cpctc)
segment FG=segment IG (the little dashes on the segments mean that they are congruent.
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 2x² – 20x +7
The vertex is
(Type an ordered pair.)
Answer:
(5, -43)
Step-by-step explanation:
The value of the x-coordinate of the vertex of a function in standard form is given by -b/2a. The value of a is the coefficient of the x^2 term. The value of b is the coefficient of the x term. In this problem, a = 2 and b = -20. When you evaluate -b/2a you would replace the b with -20 and replace the a with 2 so you get -(-20)/2(2) so the value of x is 5. Determine the value of y by evaluating f(5) = 2(5)^2 - 20(5) +7.
Can someone please help me with this! Thanks <3
Answer:
H
Step-by-step explanation:
If you convert these fractions into decimals:
-2 1/2 = -2.5
-2.47 = -2.47
-2/5 = -0.4
5 = 5
21/4 = 5.25
You can see that the order from lest to greatest is answer H
Hope this helps :)
find m<DAC= x in circle O given that m<BOA= 66° and m<DB= 20°. (The figure is not drawn to scale.)
Answer:
66+20+x=180(sum of angle in a triangle)
x=180-(66+20)
x=180-86
x=94
What is the slope of the line that passes through the points (1, 1) and (9, 7)?    
Answer:
slope =1
Step-by-step explanation:
(1, 1)=(x1,y1)
(9, 7)=(X2, y2)
now,
slope=(y2-y1)/(x2-x1)
=(7-1)/(9-1)
=8/8
=1
Hey there!
Use the slope formula:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
[tex]\bold{\displaystyle\frac{7-1}{9-1}}[/tex]
Simplify
[tex]\bold{\displaystyle\frac{7}{8} }\hookleftarrow\text{Slope of the line}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
11. Determine whether the events are independent or dependent. Explain your answer.
(3 points each)
a. Randomly choosing an oatmeal cookie, eating it, and then choosing a peanut butter
cookie from a container of cookies.
b. Drawing the name "Sally" from a hat and replacing it, and then drawing the name
"Malcolm" from the hat.
The fact that one chooses an oatmeal cookie, eating it and then choosing a peanut butter cookie from a container of cookies is an independent event.
What is a dependent event?It should be noted that dependent events influence the probability of the other events.
In this case, the fact that one chooses an oatmeal cookie, eating it, and then choosing a peanut butter cookie from a container of cookies is an independent event.
On the other hand, drawing the name "Sally" from a hat and replacing it, and then drawing the name "Malcolm" from the hat is a dependent event.
Learn more about dependent event on:
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160° А C B What is the mŁABC ?
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
By theorem : Angle made by an arc at the centre is double the angle made by the same arc on the circumference part of the circle.
Therefore~
[tex]\qquad \sf \dashrightarrow \: 2 \times \angle ABC = 160[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle ABC = 160 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle ABC = 80 \degree[/tex]
I hope you understood ~
Balance the following chemical equation. (20 pts)
Answer:
4Cl + 2Pb → 2PbCl2
Step-by-step explanation:
It's simplest reaction is:
Pb + Cl2 → PbCl2
Tim had 85$ to spend on 6 books. After buying them he had 13$. How much did each book cost. Write using two step equations
Answer:
he spent 12 dollars on each book
Step-by-step explanation:
minus 13 from 85 you get 72 and then divide 72 by 6
Answer:
12$ each
Step-by-step explanation:
Tim had 85$ to spend on 6 books.
After buying them he had 13$.
85$ - 13$ = 72$How much did each book cost.
72$ / 6books = 12$ each bookIs the table linear or exponential?
Answer:
this table is linear
Step-by-step explanation:
there is a difference of 4 each time
Answer:
linear
Step-by-step explanation:
the difference in x and y values is constant
The Brooks family is selecting a furniture set. A furniture set has a bed and a dresser. There are 2 beds and 6 dressers to select from. How many different
furniture sets could they select?
What is I C T computer SCHOOL hi zip am SC 9
Step-by-step explanation:
Different means to minus, so minus 2 from 6. Which gives you the answer 4.
Find the length of each arc shown in red. Leave your answer in terms of pi. 110 4in
The length of the arc shown in red is
Step-by-step explanation:
step 1
Find the circumference of the circle The circumference is equal to we have substitute
step 2
Find the length of the arc in red Remember that the length of the circumference subtends a central angle of 360 degrees so by proportion find the length of the arc by a central angle of 110 degrees Simplify
Can someone help me out!
Answer:
option c
Step-by-step explanation:
This is the net of square pyramid.
Base of the square pryamid is square and all the other face are triangle.
Help help help help aspab
Answer:
Straight
Step-by-step explanation:
∠RQT is a straight angle.
Answer:
Straight
Step-by-step explanation:
∠RQT is a straight angle with a measure of 180°.
hope this helps!! p.s. i really need brainliest :)
In shop class, Adriana makes a pyramid with a 4-inch square base and a height of 6 inches. She then cuts the pyramid vertically in half as shown. What is the area of each cut surface?
The area of the square pyramid is the amount of space on it
The total surface area of each cut surface is 33.28 square inches
How to determine the surface area of each cut surface?The given parameters are:
Base (b) = 4 cm
Height (h) = 6 cm
Start by calculating the slant height (l) using:
l = √((4/2)^2 + 6^2)
l = 6.32
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * 4 * 6.32
Evaluate the product
L = 50.56
The total surface area is calculated using:
T = L + b^2
So, we have:
T = 50.56 + 4^2
Evaluate
T = 66.56
Divide the total surface area by 2
T/2 = 33.28
Hence, the total surface area of each cut surface is 33.28 square inches
Read more about areas at:
brainly.com/question/24487155
find the measure of mousing angle and justify your answer with postulates and theorems.
Answer:
Step-by-step explanation:
By the same-side interior angles theorem,
The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?
A. g(x) = (x − 7)2 − 3
B. g(x) = (x + 7)2 − 3
C. g(x) = (x − 3)2 − 7
D. g(x) = (x − 3)2 + 7
Answer:
B. g(x)=(x+7)^2-3
Step-by-step explanation:
Vertex form is F(x)= a(x-h)^2+k
a is the reflection
h and k are the vertex (x,y) = (h,k)
in this case there is no shrink or stretch (a)
if it is translating left or right it is "h". In this case it is translated left so its -7. However if you look at vertex form it is "x-h" so -7-7= +7
If it translating up or down it is "K". In this case it is translated down so its -3.
If it was translated up or right then its positive. If it was translated down or left its negative.
After you figure out what h and k are then you just plug it in. h=-7, k=-3
so the answer in vertex form is, g(x)=(x+7)^2-3
The question is in the screenshot!
Answer:
5/2
Step-by-step explanation:
Phase shift refers to the sin graph movement left or right.
We would have to set x to 1, so factor out the 2.
(2x-5)-> 2(x-5/2)
From this, the phase shift would be 5/2 to the right.
show your work :) giving brainliest!
Answer:
41/25
Step-by-step explanation:
So (-1)¹⁰ equals 1 because any number multiplied by a positive exponent is positive. Next, you do (-22)⁰ which equals 1. Anything to the zeroth power equals one. Now you add 1 and 1 which equals 2. Then you do -(3/5)² which equals -9/25 (You do 3 * 3 which equals 9 and 5 * 5 which equals 25. You then add the negative sign outside the parenthesis to get -9/25). Then you multiply 2 by 25 so both numbers have a common denominator of 25. That equals 50/25 ( 50/25 is 2). You subtract 50/25 by 9/25. That equals 41/25.
Answer:
[tex]\frac{41}{25}[/tex]
Step-by-step explanation:
[tex](-1)^{10} + ( -22)^{0} - (\frac{3}{5})[/tex]
[tex]1 + (-22)^{0} - (\frac{3}{5})^{2}[/tex]
[tex]1 +1 - (\frac{3}{5} )^{2}[/tex]
[tex]1 + 1- \frac{9}{25}[/tex]
add the numbers
[tex]2 -\frac{9}{25}[/tex]
Calculate the difference
[tex]\frac{41}{25}[/tex] ← Final answer! ~ Hope this helps~
The largest possible sum, less than 10, of two consecutive prime number is
Answer:
8
Step-by-step explanation:
Primes below 10 are 1,2,3,5,7
the two consecutive primes that would add up less than 10 would be 3 and 5. 3+5 = 8
Which graph represents
y=\x-4
Answer:
The first answer choice is correct due to its Y-Intercept
Step-by-step explanation:
Of your 2 answer choices, the first answer choice is the best.
This is because your Y-Intercept is one of the most important things you look our first.
It should be (0,-4) which the first one clearly has.
Now, you could look at the growth, it is growing at a different rate that is increasing as opposed to a constant rate.
Both of them have that, but like I said the Y-Intercept Clearly exposed the right answer.
Therefore The first answer choice is correct.
A circular sinkhole has opened near an intersection. The four corners of the intersection are occupied by a grocery store, a dollar store, a gas station, and a restaurant, and each corner contains part of the sink hole. The grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The gas station has the same angle on the intersection at the dollar store and 88° more edge To stabilize. What is the measure of the arc of the sinkhole that falls within the restaurants property?
The measure of the arc of the sinkhole that falls within the restaurants property is -21°
Measure of angles subtendedLet x be the angle at the dollar store at the intersection
Now the angle of the grocery store at the intersection, y is 2/3 that of the dollar store. So, y = 2x/3
Since both x and y are supplementary,
x + y = 180°
x + 2x/3 = 180°
5x/3 = 180°
x = 180° × 3/5
x = 36° × 3
x = 108°
Angle subtended by gas station at sinkholeThe gas station has the same angle at the intersection but has 88° more of the sinkhole edge to stabilize. So, the angle the gas station store subtends at the sinkhole is z = x + 88°
Angle subtended by grocery store at sinkholeAlso, since the grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The angle the grocery store subtends at the sinkhole is k = y + 5° = 2x/3 + 5°
Measure of arc subtented by restuarantLet k' be the angle subtended by the restuarant at the sinkhole.
Since the sinkhole is a circle, we have that
x + z + k + k' = 360°
x + x + 88° + 2x/3 + 5° + k' = 360°
8x/3 + 93° + k' = 360°
8x/3 + k' = 360° - 93°
8x/3 + k' = 267°
So, making k' subject of the formula, we have
k' = 267° - 8x/3
Substituting the values of the variables into the equation, we have
k' = 267° - 8 × 108°/3
k' = 267° - 288°
k' = -21°
So, the measure of the arc of the sinkhole that falls within the restaurants property is -21°
Learn more about measure of arc here:
https://brainly.com/question/16916082