Answer:
|AC| = 144
Step-by-step explanation:
The larger triangle (on the left) and the smaller one (on the right) are similar.
Therefore the following equation of ratios is correct:
x 7
---------- = ---------
156 - x 84
Then 84x = 7(156) - 7x, or
91x = 1092, or x = 12
Then the length of AC is 156 - x, or 144
Please help! Dad will murder me if I don't have this done by the time he gets home! 100 points for whoever solves this!
Answer:
3(4)to the 3
Step-by-step explanation:
CAN SOMEWON HELP ME PLZZZ I DONT GET IT
Hey there! I'm happy to help!
We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.
If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by [tex]10^-^3[/tex] to show that it is still equal to 0.002.
So, the mass of the mustard seed is 2×[tex]10^-^3[/tex].
Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.
(2×[tex]10^-^3[/tex])×(4.3602×[tex]10^4[/tex])
Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.
2×4=8
And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.
So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×[tex]10^-^3[/tex])×(4×[tex]10^4[/tex])=8×[tex]10^1[/tex]
Have a wonderful day! :D
Answer:
Hey There!! The answer to this is B: The mass of a single seed can be written as
There are total of seeds in the jar
Total mass is the multiplication of these both numbers.
Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.
The rule to multiply two numbers in scientific notation is:
So using this formula we multiply the 2 numbers and get answer as follows:
Thus, Answer choice B is right.
Hope It Helped!~ ♡
ItsNobody~ ☆
Need help and show work please.
Answer:
B) 30
Step-by-step explanation:
Since ABCD is a parallelogram the diagonals bisect each others in their midpoint.
Wich means that BE = ED
● BE = ED
● (2/3)x = x-10
Substract x from both sides
● (2/3)x -x = x-10 - x
● (2/3) x - x = -10
Multiply x by 3 then ubstracr it from 2x
● (2x-3x)/3 = -10
● -x/3 = -10
Multiply both sides by -3
● (-x/3)×(-3) = -10 ×(-3)
● x = 30
Simplify: 1/2 (2a + b) - (4a + b) Show ALL work please!
Answer:
-3a-1/2b
Step-by-step explanation:
1/2(2a+b)-(4a+b)
2/2a+1/2b-4a-b
a-4a+1/2b-b
-3a+1/2b-2/2b
-3a-1/2b
Answer:
-3a -1/2 b
Step-by-step explanation:
1/2 (2a + b) - (4a + b)
Distribute
a + 1/2 b -4a -b
Combine like terms
a -4a +1/2b - b
-3a -1/2 b
Write an absolute value equation to satisfy the given solution set shown on a number line. PLEASE HELP
Answer: Ix - 4I ≤ 4
Step-by-step explanation:
You can see a black dot in the zero, and a black dot in the 8.
So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:
0 ≤ x ≤ 8.
Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.
The first step is to find the middle value of that set:
The middle value is equal to half of the difference between the extremes:
m = (8 - 0)/2 = 4.
Now we know the middle point, so we can write the equation:
Ix - mI ≤ m
m = 4
Ix - 4I ≤ 4
That is our inequality.
Where the "equal" part of ≤ is for the values x = 0 and x = 8.
Find the value of x. A. 45 B. 30 C. 6 D. 15
Answer:
answer is b
Step-by-step explanation: i am sure of it
Answer:
D. 15
Step-by-step explanation:
Both equations need the same end result because this is a square:
3x - 15 = 45 - x =
3x - 3x = 45 - x - 3x
0 = 45 - 4x
4x = 60
4x/4 = 60/4 =
X = 15
Check:
3(15) - 15 = 45 - 15
45 - 15 = 45 - 15
30 = 30
Look at the graph in the image. 1. What are the coordinates of point P? A. (4,3) B. (4,30) C. (4,90) D. (40,90) 2. What is the independent variable? A. Bike A B. Bike B C. Time D. Distance Please include work!
Answer:
1.C (4,90) 2.C.Time
Step-by-step explanation:
the answer to number 1 is C because the x coordinate is 4 and the y coordinate is 90. The answer to 2 is c because the independent variable represents x, which is time in this case because it is labeled on the coordinate plane.
what is equivlent to 12x+(−7)−214x−(−2)
Answer:
X=5/216
Step-by-step explanation:
Answer:
X=5/216
Step-by-step explanation:
Once you have completed the above problems and checked your solutions, complete
the above photos is the solution
Solve for x. Show work plz
Step-by-step explanation:
Given,
RSTU is a parallelogram,
so, we need to find the value of x,
let's find it,
2x+15 = x+15 (opposite side of parallelogram are equal and parallel)
2x - x = 15-15
x=0
Therefore, the value of x is 0.
If you have doubt. then let's clear it by putting the value of x.
so, 2×0+15 = 0+15
15=15 {as already said that the sides are equal}
proved..
so, the value of x is 0.
Hope it helps.....
Answer:
x=0
Step-by-step explanation:
Assuming the two sides are equal length
2x+15 =x+15
Subtract 15 from each side
2x =x
Subtract x from each side
2x-x = x-x
x=0
In triangle PQR, m∠P = 83°, PQ = 7.6, and PR = 8.6. What is m∠R to the nearest degree? A. 45° B. 55° C. 35° D. 41°
Answer:
The unknown measurement of angle R to the nearest degree is 41°
Step-by-step explanation:
As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.
in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.
So, our equation will look like this.
[tex]tanx=\frac{7.6}{8.6}[/tex]
Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.
[tex]x=\frac{7.6}{8.6}(tan^-^1)[/tex]
Now, we solve. You can use a calculator to do these calculations.
The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.
Veronica wants to buy a house that costs $249,900. She is going to make a 20% down payment. How
much is her down payment in dollars?
━━━━━━━☆☆━━━━━━━
▹ Answer
$49,980
▹ Step-by-Step Explanation
[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses. Question 3 options: A) units B) units C) units D) units
Oh my god im so sorry i didnt mean to copy and paste my question here
I need help ASAP!! I have no idea how to do this and what side does it mean when it says other side??!
Answer:
1 point should be located before 4 points below C.
1 point should be located before 4 points above B.
1 point should be located at point A.
Someone pls help me . Thank you sm
━━━━━━━☆☆━━━━━━━
▹ Answer
X = 24
m = 13/7 or about 1.86
▹ Step-by-Step Explanation
X/3 + 7 = 15
X + 3 * 7/3 = 15
X + 21/3 = 15
X = 24
3.5m - 1.5 = 5
35/10m - 15/10 = 5
5 * 7/2 * 5m - 3 * 5/2 * 5 = 5
m = 13/7 or about 1.86
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Use the Quadratic Formula to solve the equation x² - 6x = -14.
1. X=3+23 or X = 3-V23
2. X=-3+V23 orX=-3-V23
3. X=-3+iv5 or X=-3-i15
4. X=3+iv5 orx = 3-iv5
Answer:
D. x = 3+i√5 or 3-i√5
Step-by-step explanation:
Given the equation x² - 6x = -14, on rewriting the equation in the firm if a quadratic equation ax²+bx+c = 0 will give x² - 6x + 14= 0.
Required
Use the quadratic formula to solve the equation.
The quadratic formula is expressed as x = (-b±√b²-4ac)/2a
From the equation given, a = 1, b = -6 and c = 145.
x = (-(-6)±√(-6)²-4(1)(14))/2(1)
x = = (6±√36-56)/2
x = = (6±√-20)/2
x = (6±√20*√-1)/2
Since √-1= i
x = (6±√20 i)/2
x = (6±√5*4 i)/2
x = (6±2√5 i)/2
x = 6/2 ± 2√5 i/2
x = 3±√5 i
x = 3+i√5 and 3-i√5
Hence the solution to the quadratic equation is x = 3+i√5 and 3-i√5
Find RS. A. 5 B. 10 C. 9 D. 12
Answer:
RS = 5
Step-by-step explanation:
To find x use the equation 2x - 6 + 1 + x - 4 = 18
When you solve this x should equal 9
To find RS plug in x in (x-4)
9 - 4 (5)
Answer:
5 (Answer A)
Step-by-step explanation:
From the diagram we know that 2x - 6 + 1 + x - 4 must equal 18.
Then 2x - 6 + 1 + x - 4 = 18. Combining like terms, we get:
3x - 5 - 4 = 18, or 3x - 9 = 18
Then 3x = 27, and so x must be 9.
Then the length of RS is 9 - 4 = 5 (Answer A)
Please help with 2 and 3 for maths
Answer:2-4=
Step-by-step explanation:y-16-(-42)
y-16+16
y-32
y-16-(-22)
y-16+4
y-20
y-16-(02)
y-16
y-16-(42)
y-0
Answer:
The answer is 2-4
Step-by-step explanation:
The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).
Answer:
248
Step-by-step explanation:
These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.
Answer:
19.5
Step-by-step explanation:
The Volume of a cone is h/3(r²)[tex]\pi[/tex]
That means, for the larger cone,
66=h/3(3²)([tex]\pi[/tex])
66=h/3*9[tex]\pi[/tex]
66/9[tex]\pi[/tex]*3=h
h=7, so the height of the larger cone is seven
Since the cones are similar, it has to have the same ratio. 7/3 of 2 is 4.6666. So the height of the smaller cone is 4.66666.
Putting that in the formula,
V=(4.66666/3)(2²)[tex]\pi[/tex]
V=1.555555*4*[tex]\pi[/tex]
V=19.547
Answer:
19.6
Step-by-step explanation:
I have acellus too, and honestly, I typed in 19.5, which didn't work, so I typed in 19.6 and it worked. Hope this helps!
Anna, Gina, and Ted divided up a box of post cards. Anna took one-fourth of the cards. Gina took half of what remained. Ted took the remaining 6 cards. How many cards were in the box?
Answer:
16 cards
Step-by-step explanation:
We can use logic to find out how many cards were in the beginning.
If Ted took 6 cards, and Gina took half of what remained, then when Gina took cards, she had [tex]6\cdot2=12[/tex] to choose from.
Now, Anna took [tex]\frac{1}{4}[/tex] of the cards, meaning that 12 is [tex]\frac{3}{4}[/tex] of the amount of cards there originally were.
[tex]\frac{12}{x} = \frac{3}{4}\\\\12\cdot4=48\\\\48\div3=16[/tex]
Hope this helped!
A box has a total surface area of 100. The length of the box is equal to twice its width, as well as equal to 3 less than its height. What is the height of the box?
Answer:
h=7
Step-by-step explanation:
First we need to define the formula for surface area
2(wl+hl+hw)=100
Now we can replace length with x
That makes width .5x and height x+3
2(.5x^2+x^2+3x+.5x^2+1.5x)=100
2(2x^2+4.5x)=100
2x^2+4.5x=50
2x^2+4.5x-50=0
Insert into quadratic equation (a=2x^2, b=4.5, c=-50)
x=4 or -6.25
x can't be negative so x is 4
h=x+3=7
h=7
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables
Answer: (2+v) =3; v =10 pounds of chopped vegetables.
Step-by-step explanation:
the answer is:
a. one-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
Which ordered pair is a solution of the equation? 2x+4y=6x−y
Answer:
Step-by-step explanation:
"Which ordered pair" implies that there were several answer choices for this problem. It's important that you share such answer choices.
2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x
If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation. There are an infinite number of such solutions. All lie on the line y = (8/5)x.
7/13 + 1/5 (its in fractions)
Answer:
48 ÷ 65
Step-by-step explanation:
hope it helps you
Answer:
[tex]\frac{48}{65}[/tex]
Step-by-step explanation:
Step 1: Find LCM for denominators
13(5) = 65
So we need to convert our fractions to add them
Step 2: Convert [tex]\frac{7}{13}[/tex] by multiplying both top-bottom by 5
[tex]\frac{7}{13} (\frac{5}{5} ) = \frac{35}{65}[/tex]
Step 3: Convert [tex]\frac{1}{5}[/tex] by multiplying both top-bottom by 13
[tex]\frac{1}{5} (\frac{13}{13} ) = \frac{13}{65}[/tex]
Step 4: Add the converted fractions
[tex]\frac{13}{65} +\frac{35}{65} =\frac{48}{65}[/tex]
And we have our answer!
Please help and explain so I can understand for future questions
Answer:
C
Step-by-step explanation:
Divide 4.5 by 3 = 1.5
1.5 x 3 = 4.5
Answer:
1.5 (c)
Step-by-step explanation:
You have to find the difference:
so you have to divide 4.5 the original and 3 the scaled image to see how much changed.
4.5 / 3 = 1.5
Please help me with this I will give u 100 points
Answer:
see below
Step-by-step explanation:
Video Game
20% off means you pay 80%
80 dollars * 80% =
80 * .80 = 64
Movie ticket
14 original price
Sale price = 11.40
14* p% = 11.40
Divide each side by 14
p% = 11.40/14
p% =81.4285714
You paid 81 3/7%
The discount is 100 -81 3/7%
18 4/7 % discount
Laptop
1000 original price
Sale price = 750
1000 * p% = 750
p% = 750/1000
p% =75%
You paid 75%
The discount is 100 -75%
25 % discount
Answer:
Below
Step-by-step explanation:
First item)
The original price of the video games is 80$ wich is 100%
This item has a 20% discount.
Let x be the value of the dicount in dollars.
● 80 => 100
● x => 20
● x =(80×20)/100 = 16$
So the amount of the discount is 16$.
● 80-16 = 64 $
So the amount that was paid is 64$
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Second item):
The price that was paid is 11.2$out of 14$ initially.
Let x be the percentage of 11.2
● 14$ => 100%
● 11.2$ => x
● x = (11.2×100)/14 = 80%
● 100-80 = 20%
So the percentage of discount was 20%
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Third item):
The laptop was boughr for 750$ out of 1000$ initially
No need to do calculations here.
Notice that: 750/1000 = 3/4 = 0.75 = 75%
● 1000-750 = 250
So 250 is the amount discounted wich is 25% of 1000$
PLEASE HELP ME!!!!!!!!!!
Answer:
5:
x = 9 y = 34
x = 2 y = 6
x = -6 y = -26
x = 3 y = 10
x = 4 y = 14
6.
x = 8 y = 19
x = 5 y = 35
x = -2 y = -21
x = 1 y = 3
x = 4 y = 27
1.
x = 2 y = -5
x = 5 y = -2
x = -1 y = -8
x = 7 y = 0
x = 3 y = -4
2.
x = 8 y = 5
x = 2 y = -1
x = -2 y = -5
x = 9 y = 6
x = 1 y = -2
3.
x = 3 y = -1
x = 6 y = 2
x = -7 y = -11
x = 4 y = 0
x = 2 y = -2
4.
x = 6 y = 39
x = 5 y = 32
x = -9 y = -60
x = 1 y = 4
x = 2 y = 11
5. 6. 1. 2. 3. 4.
x | y | x | y x | y x | y x | y x | y
9 | 11 | 3 | 19 2 | -5 8 | 5 3 | -1 6 | 39
2 | 6 | 5 | 35 5 | -2 2 | -1 6 | 2 5 | 32
-6| -26 | -2 | -21 -1 | -8 -2 | -5 -7 | -11 -9 | -66
3 | 10 | 1 | 3 7 | 0 9 | 6 4 | 0 1 | 4
4 | 14 | 4 | 27 3 | -4 1 | -2 2 | -2 2 | 11
Hope this helps!
For what values of x is the value of the function f(x)=x² +3x+2 equal to zero?
Answer:
x=-2 x=-1
Step-by-step explanation:
f(x)=x² +3x+2
Set the function equal to zero
0=x² +3x+2
Factor
What 2 numbers multiply to 2 and add to 3
2*1 = 2
2+1 = 3
0 = ( x+2) (x+1)
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Find the area diagram below: Round to the nearest tenth.
30°
18m
1403
70.1
187
12
Answer:
The answer is option 2.
Step-by-step explanation:
First, you have to find the height of the triangle using Cosine Rule, cosθ = adjacent/hypotenuse :
[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]θ = 30,adj. = h,hypo = 18[/tex]
[tex] \cos(30) = \frac{h}{18} [/tex]
[tex]18 \cos(30) = h[/tex]
[tex]h = 9 \sqrt{3} \: m[/tex]
Next, you have to find the area of triangle using Sin Rule, Area = 1/2×a×b×sinC where a, b represent the side length of the angle and C is the angle :
[tex]area = \frac{1}{2} \times a \times b \times sin(C)[/tex]
[tex]let \: a = 9 \sqrt{3} ,b = 18,C = 30[/tex]
[tex]area = \frac{1}{2} \times 9 \sqrt{3} \times 18 \times \sin(30) [/tex]
[tex]area = 70.1 \: {m}^{2} \: (near.tenth)[/tex]
Answer:
70.1
Step-by-step explanation:
This is a 30-60-90 right triangle.
The ratio of side lengths is as follows:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is 1/2 the hypotenuse.
The long leg is sqrt(3) times the short leg.
A = bh/2
A = (18/2)(18/2 * sqrt(3))/2
A = 70.1