Answer:
x = 137
Step-by-step explanation:
∠43° and ∠x° are same side exterior angles as they are on the same side as the transversal but outside the parallel lines. The 2 angles are supplementary, hence
x + 43 = 180 ( subtract 43 from both sides )
x = 137
Based on the information given, the value of x will be 137°.
It should be noted that angles x and 43° are on the same side of the transversal but they're are outside the parallel lines. In this case, the angles are supplementary which means that when they are added together, their total angles equal 180°.
Therefore, the value of angle x will be:
= 180° - 43°
= 137°
Therefore, x is 137°.
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Which rectangle will have the largest area?
l = 5 cm, w = 4 cm
l = 4 cm, w = 6 cm
l = 4 cm, w = 7 cm
l = 5 cm, w = 5 cm
Answer: l = 4 cm, w = 7 cm
Step-by-step explanation:
i think that this is it
Answer:
it’s the third one
l = 4 w = 7
Step-by-step explanation:
to find the area you multiply length by width
4x7 = 28
If $1,120 is invested at an interest rate of 15% per year and is compounded contonuously, how much will the investment be worth in 7 years? Use the continuous compound interest formula: A=Pr^rt.
Answer:
[tex]\$3,200.57[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=7\ years\\ P=\$1,120\\ r=0.15[/tex]
substitute in the formula above
[tex]A=\$1,120(e)^{0.15*7}=\$3,200.57[/tex]
Answer:3,200.57
Step-by-step explanation:
sin(-180° + θ) = ________
Answer:
[tex]\sin\left(-180^o+\theta\right)=-\sin\left(\theta\right)[/tex]
Step-by-step explanation:
We need to find the value of [tex]\sin(-180^o+ \theta)[/tex]
So let's apply formula
[tex]\sin\left(A+B\right)=\sin\left(A\right)\cos\left(B\right)+\sin\left(B\right)\cos\left(A\right)[/tex]
[tex]\sin\left(-180^o+\theta\right)=\sin\left(-180^o\right)\cos\left(\theta\right)+\sin\left(\theta\right)\cos\left(-180^o\right)[/tex]
[tex]\sin\left(-180^o+\theta\right)=0\cdot\cos\left(\theta\right)+\sin\left(\theta\right)\cdot\left(-1\right)[/tex]
[tex]\sin\left(-180^o+\theta\right)=0-\sin\left(\theta\right)[/tex]
[tex]\sin\left(-180^o+\theta\right)=-\sin\left(\theta\right)[/tex]
11.
ALGEBRA Zakama Hussein earned $77.00 in simple interest in 18 months ( 1.5 years) at an annual interest rate of 7%. How much money did she invest?
$1466.67
$1650.00
$85.22
$733.33
Answer:
$733.33
Step-by-step explanation:
The question is on finding the principal value
Formulae for simple interest
S.I= P×R/100×T where P is the invested amount of money, R is interest rate and T is time in years
Given that;
Simple interest=$77 , R=7% and T=1.5 years then
S.I= P×R/100×T...................substituting the values given
77=P×7/100 × 1.5
77=P×0.105
77/0.105 =P
$733.33=P
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
O 5(x + 3) + x = 4(x + 3) + 3
O4 + 6(2 + x) = 2(3x + 8)
Answer:
The Answer would be B.
Step-by-step explanation:
Rearrange
5+2*(3+2*x)-(x+3*(x+1))=0
Step 2:
(5 + 2 • (2x + 3)) - (4x + 3) = 0
Step 3 :
8 = 0
Step 4 :
Equations which are never true :
8 = 0
This equation has no solution.
Can you please help me ?
Answer: in explanation
Step-by-step explanation: 1.) Plug your input in for x and solve for your output, y. You are given the input (far left column). As for graphing, plot -5 on the y-axis (vertical one) and move down one, right one until you reach bottom. Then move up one, left one until you reach the top.
2.)Plug your input in for x and solve for your output, y. You are given the input (far left column). As for graphing, plot -1 on y-axis (vertical one) and move up two, right one and down two, right one until you reach either end of the graph.
Connect both with a solid line and put arrows on either end.
I need help with Algebra 2!
For sin, cos, and tan, let's use an abbreviation.
SOH-CAH-TOA
[tex]sin=\frac{opposite}{hypotenuse}[/tex]
[tex]cos=\frac{adjacent}{hypotenuse}[/tex]
[tex]tan=\frac{opposite}{adjacent}[/tex]
But before that, we should solve for the missing side.
Since this triangle is a right triangle, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2 \\ \\ 6^2+8^2=c^2 \\ \\ c^2=36+64 \\ \\ c^2=100 \\ \\ c=10[/tex]
So the hypotenuse is 10.
Let's plug in.
sin θ = 6/10 --> 3/5
cos θ = 8/10 --> 4/5
tan θ = 6/8 --> 3/4
Now for the cosectant, secant, and cotangent, we'll just use the definitions.
Cosectant is hypotenuse over opposite.
Secant is hypotenuse over adjacent.
Cotangent is adjacent over opposite.
So they are basically the inverses.
csc θ = 10/6 --> 5/3
sec θ = 10/8 --> 5/4
cot θ = 8/6 --> 4/3
I have been on this question for so long if anyone can help me I would greatly appreciate it. Thank you
Answer:
Step-by-step explanation:
let x be the number
2(x+8)=-4x+4
2x+16=-4x+4
6x=-12
x=-2
Answer:
x=-2
Step-by-step explanation:
2(x+8)=-4x+4
2x+16=-4x+4
6x=-12
x=-2
The surface area of a sphere is 275.56 1 cm? What is the approximate volume of the sphere?
A. 2,287.15 pi cm3
B. 762.38 pi cm3
C. 6,099.06 pi cm3
D. 381.19cm3
Answer:
[tex]V=430.19\ cm^3[/tex] or [tex]V=136.93\pi\ cm^3[/tex]
Step-by-step explanation:
The surface area of a sphere is:
[tex]A_s=4\pi r^2[/tex]
Where r is the radius of the sphere
In this case we know that [tex]A_s = 275.561\ cm^2[/tex]
So
[tex]4\pi r^2=275.561[/tex]
We solve the equation for r
[tex]4\pi r^2=275.561\\r^2 = \frac{275.561}{4\pi}\\\\r=\sqrt{ \frac{275.561}{4\pi}}\\\\r=4.683\ cm[/tex]
Now we know the radius of the sphere.
The volume of a sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
We substitute the value of the radius in the formula
[tex]V=\frac{4}{3}\pi (4.683)^3[/tex]
[tex]V=430.19\ cm^3[/tex]
A man walks 10 miles in x hours. How far does he walk in one hour?
Which expression represents this?
10+x miles
10x miles
10/x miles
Answer: It can't be 10 + x, it can't be 10x, so it will be 10/x
please mark as brainliest
Step-by-step explanation:
Answer:
[tex]\frac{10}{x} \ miles[/tex]
Step-by-step explanation:
Givens
A man walks 10 miles in x hours.So, how far does he walk in one hour?
Basically, the question is asking the constant rate of change of the person's position. In other words, it's asking about the man's velocity: how many miles per hour.
The expression that represents this situation is
[tex]\frac{10}{x} \ miles[/tex]
Because, the problem refers to the ratio of change, which is the quotient between the distance traveled and the time that took to travel that distance.
What is the probability of flipping a coin 8 times and getting heads 3 times? Round your answer to the nearest tenth of a percent.
A. 10.9%
B. 27.3%
C. 21.9%
D. 3.1%
Answer:
21.9%
Step-by-step explanation:
This involves binomial probability.
n = # of tries: 8
x = # of successes (heads): 3
Use your calculator's probability distribution function binompdf.
Type in binompdf(n, p, x), which in this case would be:
bionompdf(8, 0.5, 3) = 0.219, or 21.9% (Answer C)
The probability of flipping a coin 8 times and getting heads 3 times is 21.9%. Therefore, option C is correct
Explanation:To find the probability of flipping a coin 8 times and getting heads 3 times, we need to use the binomial probability formula. The formula is P(x) = (nCx) * p^x * (1-p)^(n-x), where n is the number of trials, x is the number of successful outcomes, p is the probability of success on a single trial, and nCx is the combination notation.
In this case, n = 8, x = 3, and p = 0.5 (since the probability of getting heads on a fair coin is 0.5). Plugging these values into the formula, we get:
P(3) = (8C3) * 0.5^3 * 0.5^(8-3)
= (8!/3!(8-3)!) * 0.5^3 * 0.5^5
= 56 * 0.5^3 * 0.5^5
= 56 * 0.125 * 0.03125
= 0.21875
= 21.9%
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which expression is the factored form of x^2 -7+10
Answer:
(x -5) * (x -2) = x^2 -7 +10
Step-by-step explanation:
What is the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle?
Answer:
Option C. [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
and
The scale factor is equal to the ratio of its corresponding sides
Let
z-----> the scale factor
[tex]z=\frac{15}{18}[/tex]
simplify
[tex]z=\frac{5}{6}[/tex]
Which expression is equivalent to 13x-2(3x+6)?
answer
7x-12
explanation
13x -2(3x+6)
13x -6x-12
7x-12
Answer:
7x+12
Step-by-step explanation:
i just took a test and that was the answer
good ?
What is the solution of Sqrt -4x = 100?
x = –2500
x = –50
x = –2.5
no solution
X = -2500
This is because:
-2500 * -4 = 10,000Sqrt of 10,000 is 100For this case we must find the value of the variable "x" of the following expression:
[tex]\sqrt {-4x} = 100[/tex]
Now, we square both sides of the equation:
[tex]-4x = 100 ^ 2\\-4x = 10000[/tex]
We divide between -4 on both sides of the equation:
[tex]x = \frac {10000} {- 4}\\x = -2500[/tex]
ANswer:
[tex]x = -2500[/tex]
Option A
Which net folds into the rectangular prism above?
Answer:
the answer is Z
Step-by-step explanation:
Laverne already knew 2 appetizer recipes before starting culinary school, and she will learn 3 new
appetizer recipes during each week of school.
After 2 weeks of culinary school, how many total
appetizer recipes will Laverne know?
Answer:
the answer is 8
Step-by-step explanation:
You would do use the equation (3×2)+2=8
Hope this helps :)
Answer:
8 appetizer recipes.
Step-by-step explanation:
Given,
The number of appetizer recipes Laverne already knew = 2,
Also, she learns 3 new appetizer recipes during each week of school.
So, the additional number of recipes she learn in 2 weeks = 2 × 3 = 6,
Hence, the total appetizer recipes she would know = The recipes she already knew + the additional number recipe she learnt in 2 weeks
= 2 + 6
= 8
Find the volume of a box that is 2 in x 4 in x 3 in.
A) 2 ft2
B) 2 ft3
C) 24 in2
D) 24 in3
Answer:
D) 24 in3
Step-by-step explanation:
Volume of a box is length times width times height
2 in x 4 in x 3 in = 24
and its inches cubed because inches is multiplied 3 times
Answer:
Step-by-step explanation: it’s C
2x4x3
8x3
24 2in
The product of two numbers is −72. One of the factors is −9, what is the other factor?
Answer:
8.
Step-by-step explanation:
-9 x x = -72.x = 8.In all of the steps to solve this specific question, x is a variable to represent the other factor, that we are trying to find out the answer to, and our equation that we need to set up for this problem, is -9 times x equals -72, because -9 multiplied by the other factor that we are trying to solve for, which is x in this case, should equal -72. So then, to completely finish simplifying this equation, we need to divide -9 from both sides, so we can get our variable x, that we are trying to get the answer for, by itself. Then finally, you get x equal to 8, as our final, simplified answer. These are all of the steps to completely get the correct answer to your question.
Hope this helps!!!
Kyle.
Jason will use a 3 1/3 gallon pitcher to fill an empty 3/4 gallon water jug. How much water will he need in order to completely fill the water jug?
Answer:
Option B) Between 2 & 3 full pitchers
Step-by-step explanation:
Note In this problem the volume of the pitcher is 1/3 gallon instead of 3 1/3 gallon
The options of the questions are
A) Between 1 & 2 full pitchers
B) Between 2 & 3 full pitchers
C) About 1/2 of a full pitcher
D) About 1/4 of a full pitcher
so
we know that
To find the number of water pitchers Jason will need to fill the water jug, we will divide the amount of water needed to fill the jug by amount of water in the pitcher
[tex](3/4)/(1/3)=9/4\ water\ pitchers[/tex]
Convert to mixed number
[tex]9/4\ water\ pitchers=(8/4)+(1/4)=2(1/4)\ water\ pitchers[/tex]
therefore
Is Between 2 & 3 full pitchers
Despite having a 3 1/3 gallon pitcher, Jason will only need 3/4 gallon of water to fill his 3/4 gallon jug. The size of the pitcher doesn't matter, only the size of the jug.
Explanation:Considering that Jason is seeking to fill a 3/4 gallon water jug with a 3 1/3 gallon pitcher, it is evident that the entire capacity of the pitcher will not be required. To determine precisely the volume of water required, we examine the jug's capacity. Given that the jug has a maximum volume of 3/4 gallon, that is the exact volume of water Jason will require to fill it. Regardless of the pitcher's volume, it's the jug's capacity, which is 3/4 gallon, that establishes the quantity of water needed. Consequently, 3/4 gallon is the volume of water he needs to fill the jug.
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8x+10-2x=4(x-5) solve for x
Answer:
[tex]x=-15[/tex]
Step-by-step explanation:
[tex]8x+10-2x=4(x-5) \\ \\ 6x+10=4x-20 \\ \\ 2x=-30 \\ \\ x=-15[/tex]
x = -15
First, distribute the 4 to the x - 5 to get 8x + 10 - 2x = 4x - 20.
Now, subtract 4x and 10 from each side to get 4x - 2x = -30
Simplify the subtraction to get 2x = -30.
Divide both sides by 2 to get a final answer of x = -15.
There are 24 muffins in a bakery.If 3/8 of the muffins are blueberry,how many muffins are blueberry?
Answer:
There are 9 blueberry muffins.
Step-by-step explanation:
In order to find this amount, we need to multiply the fraction that represents blueberry muffins by the total number of muffins.
24 * 3/8 = 9
Answer:
9
Step-by-step explanation:
24/8=3
3x3=9, so there are 9 muffins
Total/denominator, then that number times the numerator.
The normal price of a jacket is £54 in a sale, the price is reduced by 30% what is the sale price
Answer:
£37.80
Step-by-step explanation:
To find the sale price of a jacket during a 30% off sale, first subtract 0.30 from 1.00, obtaining 0.70, and then multiply the regular price (£54) by 0.70:
0.70(£54) = £37.80
The sale price of the jacket after a 30% discount is applied to the original price of £54 is £37.80.
Explanation:The student's question is about calculating the sale price of a jacket after a discount of 30% is applied to the normal price of £54. This is a typical percentage problem that can be solved using the following steps:
Calculate the discount amount by multiplying the original price by the discount rate.Subtract the discount amount from the original price to find the sale price.To calculate the discount amount: 30% of £54 = 0.30 × £54 = £16.20.
Then, subtract the discount amount from the original price: £54 - £16.20 = £37.80.
Therefore, the sale price of the jacket is £37.80.
Write an equation in slope intercept form y-intercept 4 and slope is -3/5
[tex]\bf y=-\cfrac{3}{5}x+4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Need help please and thank you
Answer:
The answer is B.
Find the following bases.
a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36
It is pretty easy.
[tex]20 = x \times 0.08 \\ x = 20 \div 0.08 = 250[/tex]
[tex]30 = x \times 0.75 \\ x = 30 \div 0.75 = 40[/tex]
[tex]45 = x \times 0.20 \\ x = 45 \div 0.20 = 225[/tex]
[tex]36 = x \times 1.50 \\ x = 36 \div 1.5 = 24[/tex]
Answer:
a. 250
b. 40
c. 225
d. 24
Step-by-step explanation:
Help please...............
Answer:
a=1/16 ft2
Step-by-step explanation:
1/4x1/4=1/16
Answer:
1/16
Hope This Helps! Have A Nice Day!!
Need help ASAP!
20 POINTS
In New York State, 48% of all teenagers own a skateboard and 39% of all teenagers own a skateboard and roller blades. What is the probability that a teenager owns roller blades given that the teenager owns a skateboard? Enter your answer in decimal form rounded to two decimal places. Hint Change the percentages to decimals before plugging them into the conditional probability formula.
Answer:0.81
Step-by-step explanation:
A: Given teenager owns a skateboard. P(A) = 0.48
B: Given teenager owns roller blades. P(B) = ? - we dont know and dont need
AB: Given teenager owns a skateboard and roller blades. P(AB) = 0.39
P(B/A) = P(AB)/P(A) = 0.39/0.48 = 0.8125
Answer:
0.81
Step-by-step explanation:
Just divide them and write as a decimal.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
A. point U
B. point V
C. point W
D. point X
Answer:
V
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y) → (x, - y)
Under a reflection in the y- axis
a point (x, y) → (- x, y)
Hence
U(- 6.5, 1 ) → W(- 6.5, - 1) ← reflection in x- axis
W(- 6.5, 1) → V(6.5, -1) ← reflection in y- axis
Answer:
i think its v
Step-by-step explanation:
i hope this is right
Graph the exponential model !!! Help needed !!!
Answer:
i think its the 2
Step-by-step explanation:
for sure❤
Answer:
Point (1 , 0.75) lies on the graph of the function ⇒ last answer
Step-by-step explanation:
* Lets revise the exponential function
- An exponential function with base b is defined by f (x) = ab^x
where a ≠0, b > 0 , b ≠1, and x is any real number.
- The base, b, is constant and the exponent, x, is a variable.
- The graph of it in the attached figure
- Features (for this graph):
• The domain is all Real numbers.
• The range is all positive real numbers (not zero).
• The y-intercept at (0 , 1.5). Remember any number to
the power of zero is 1.
• Because 0 < b < 1, the graph decreases (b = 1/2)
* Now lets check which point lies on the graph
- Substitute the value of x of the point, in the function
- If the answer is the same as y, then the point lies on the graph of
the function
∵ y = 1.5(1/2)^x
∵ x = -3
∴ y = 1.5(1/2)^(-3) = 187.5 ≠ 1
∴ Point (-3 , 1) does not lie on the graph of the function
∵ x = 2
∴ y = 1.5(1/2)² = 3/8 ≠ 5
∴ Point (2 , 5) does not lie on the graph of the function
∵ x = -2
∴ y = 1.5(1/2)^-2 = 6 ≠ 3
∴ Point (-2 , 3) does not lie on the graph of the function
∵ x = 1
∴ y = 1.5(1/2)^1 = 0.75
∴ Point (1 , 0.75) lies on the graph of the function