remember
SOH CAH TOA
sin(θ) is the ratio of the opposite side to the hypotenuse
sin(θ) = opposite/ hypotenuse
sin 50 = 0.766
sin 50 = x / 16
0.766 = x/ 16
0.766 × 16 = x
x = 12.256
What is the rate of change for y=5x+1?
i think the answer is this
50 x 1 decimal value
And then what’s 50 x 0 decimal value
Do the resulting product
Answer:
If I understood what you mean properly... 0
Step-by-step explanation:
50 x 1 = 5050 x 0 = 0Resulting product:50 x 0 = 0-3 and -1/2 form quadratic polynomial
Answer:
2x² + 7x + 3 = 0
Step-by-step explanation:
[tex]\sf \text{Sum = -3 + $(\dfrac{-1}{2})$}[/tex]
[tex]\sf = \dfrac{-3*2}{1*2}-\dfrac{1}{2}\\\\=\dfrac{-6}{2}-\dfrac{-1}{2}\\\\=\dfrac{-7}{2}[/tex]
[tex]\sf \text{Product =$-3*\dfrac{-1}{2}$}[/tex]
[tex]= \dfrac{3}{2}[/tex]
Quadratic polynomial:
[tex]\boxed{x^{2}-sum *x+product = 0}[/tex]
[tex]x^{2}- \left(\dfrac{-7}{2}\right)x+\dfrac{3}{2}=0\\\\x^{2} + \left(\dfrac{7}{2}\right)x+\dfrac{3}{2}=0\\[/tex]
Multiply the entire equation by 2
[tex]2*x^{2} + 2*\dfrac{7}{2}x +2*\dfrac{3}{2}=0[/tex]
2x² + 7x + 3 = 0
What is the value of the expression below when y=4?
3y2 + y +8
Answer:
Step-by-step explanation:
=3(4)^2 + 4 + 8
=3(16) + 4 + 8
= 38 + 12
= 60
Find the area of the shaded sector. round to the nearest tenth. Please help!!
Answer:
Step-by-step explanation:
Remark
If the entire circle was shaded the radius sweeping out the circle would go through 360 degrees.
So the way to solve this problem is to multiply the entire area of the circle by (81/360)
Area of the sector = (81/360) * pi * r^2
pi = 3.14
r =8.91 cm
Area of the sector = (81/360) * 3.14 * 8.91^2
Area of the sector = 56.09
Rounded to the nearest tenth, the answer is 56.1
Answer: 56.1 cm^2
Bobby was bringing his friends scalloping in Crystal River, FL. While searching for the ideal spot, he recorded the following depth of water at each stop throughout the day.
5,7,3,6,8,5,6,4,15
Mean (Round your answer to the nearest hundredth):
Median:
Mode:
Range:
Answer: Below:
Step-by-step explanation:
Mean: (5+7+3+6+8+5+6+4+15)/9 = 6.55555 ≅6.56
Median: 6
Mode: 5, 6
Range: 12
PLS HELP ME I WILL MARK THE BRAINLIEST
Given that the solids are similar, we have:
1. 5/3
2. 4/25
3. 512/13,824
What is the Volume and Surface Area of Similar Solids?If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:
Surface area for A/Surface area for B = a²/b².
Volume for A/Volume for B = a³/b³.
1. If the two pyramids are similar, therefore:
Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)
Ratio of the height of larger to the smaller pyramid = 5/3
2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)
= ∛(8/125) = 2/5
Ratio of their surface area = 2²/5²
Ratio of their surface area = 4/25.
3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³
= 512/13,824
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Please do number 3 or number 5
Answer:
No 3.
[tex]165 \: \times \frac{103}{100} [/tex]
No 5.
[tex]15 \: \times \frac{100 + 17}{100} [/tex]
its been a long time
do you mind mark me as the brainliest
Answer:
3. 169.95
How:
165x1.03 = 169.95
Please help me figure these out, it would be greatly appreciated. TYSM !!
Answer:
1st one is A. 2nd is D. 3rd is A. 4th is C. and the 5th one is B
Step-by-step explanation:
what is the length of the diagonal with a length of 19ft and width of 17ft
Deon buys 5 pounds of cherries and pays 12.80. Which is the cost of one pound of cherries
Answer:
$2.56
Step-by-step explanation:
12.80 ÷ 5 = 2.56
If you start with the equation x-6, what equation do you have when you add 3 to both sides
Calvin has a gift card which he is using to buy candy (x), and he has been tracking how much money (y) he spends. He noted that after buying 4 pieces of candy (in all) he has $28.00 left on his card and then after buying 10 pieces of candy (in all) he has $25.00 left on his card. Write the equation of the line that represents his spending on candy.
Answer:
Negative Correlation
Step-by-step explanation:
The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.
A paper cup shaped like a cone has a diameter of 6 centimeters and a slant height of 7.5 centimeters. About how much paper is needed to make the cup
Answer:
22.5 cm^2
Step-by-step explanation:
Amount of paper is going to be measured in area, so we want the surface area of the cone. Since it is a cub it doesn't have a base, so we don't need to count it.
Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height. and of course radius is d/2 where d is the diameter. so let's plug it in. We know diameter is 6 and slant height is 7.5
SA = pi * r * s
SA = pi * d/2 * s
SA = pi * 6/2 * 7.5
SA = 22.5 cm^2
So you will need 22.5 square centimeters of paper.
PLEASE HELPPP!!! I will give brainly points
Answer:
b
Step-by-step explanation:
Answer:
The correct answer is B, because B. is a compression of 6 and x, with 6 added in just like they said in the question.
If 9x+4y=−3 is a true equation, what would be the value of 6(9x+4y)?
Answer:
-18
Step-by-step explanation:
9x + 4y = -3 (Given)
Multiply both sides of the equation by 6, we find:
6(9x + 4y) = 6(-3)
-> 6(9x + 4y) = -18
Answer:
-18
Step-by-step explanation:
Given
9x + 4y = -3We need to evaluate 6(9x + 4y).
Substitute the value of 9x + 4y in the expression.
6(9x + 4y)6(-3)-18If andrew has 10 fish, and 4 of them drown, 3 swim away, and 1 dies of unknown reasons, how many fish does he have left?
Answer: Non
Step-by-step explanation:
If Andrew has 10 fish 4 dies he ends up with six. If 3 swim away he will have 1. If 1 does he would end up with non left.
Answer:5
Step-by-step explanation:
10 fish, 4 drown, so now 6 left,one dies, 5 left, and 3 swim away yet they are still his. They can't swim away in a fish tank.
hope it helped :D
Lloyd solves the equation 24x + 18(x – 2) = 216 for x. Some of his steps are shown.
Step 1: 24x + 18(x – 2) = 216
Step 2: 24x + 18x – 36 = 216
Step 3: 42x – 36 = 216
Step 4: 42x = 252
Which of the following statements BEST describes what Lloyd did to get from Step 3 to Step 4?
A.
combined liked terms
B.
used the distributive property
C.
used the addition property of equality
D.
used the multiplicative inverse property
Answer:
C. addition property
Step-by-step explanation:
they wouldve had to add 36 to both sides of the equation, so addition
What two factors have a sum of 23
Answer:
2 factors
Step-by-step explanation:
Anyone? Help me. please.
Answer:
Step-by-step explanation:
sine and cosecant : positive in Q1 and Q2
cosin and secant: positive in Q1 and Q4
tangent and cotangent: positive in Q1 and Q3.
Answer:
Quadrant I
Step-by-step explanation:
In the first quadrant all the 6 functions are positives.
Think instead of (x, y) any point has now the coordinate (cos α, sin α) so in quadrant I we have x, y positive therefore sin α and cos α are positive.
Tangent α is positive because is sinα/cosα = positive /positive = a positive
Cotangent α= 1/tan α = cosα / sinα = positive /positive = a positive
Secant α = 1/cos α = 1/ a positive number = a positive number
Cosecant α = 1/sin α = 1/ a positive number = a positive number
Students in a class were surveyed about the number of children in their families. the results of the survey are shown in the table. a 2-column table has 5 rows. the first column is labeled number of children in family with entries 1, 2, 3, 4, 5 or more. the second column is labeled number of surveys with entries 9, 18, 22, 8, 3. two surveys are chosen at random from the group of surveys. after the first survey is chosen, it is returned to the stack and can be chosen a second time. what is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family? startfraction 1 over 50 endfraction startfraction 2 over 15 endfraction startfraction 3 over 20 endfraction startfraction 17 over 60 endfraction
The probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.
What is probability?The surveys are chosen with replacement (the first one is replaced before the second is chosen), and the events are independent.
This means that the probability of both together is the product of each event's probability.
The probability of choosing a survey that indicates 4 children in the family is 8/60 since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.
The probability of choosing a survey that indicates 1 child is 9/60 since there are 9 surveys with 1 child out of a total of 60.
Together this gives us;
[tex]= \dfrac{8}{60} \times \dfrac{9}{60}\\\\ =\dfrac{ 72}{360} \\\\ =\dfrac{1}{5}[/tex]
Hence, the probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.
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Answer:
1/50
Step-by-step explanation:
In 1983, a winter hat cost $12.95. today, a winter hat costs $24.50. if the cpi is 219, what is the percent relation of the actual price of a winter hat to the expected price? a. the actual price is 39.3% higher than the expected price. b. the actual price is 15.8% higher than the expected price. c. the actual price is 13.6% lower than the expected price. d. the actual price is 29.8% lower than the expected price.
The actual price is 13.6% lower than the expected price.
What is cpi?CPI or Consumer Price Index is a measure of determining retail inflation in an economy, based on price variations in a fixed basket of goods and services, over overtime periods.
Let's suppose the expected price is x.
The percent relation of the actual price of a winter hat to the expected price is given by;
CPI = ( expected price ) : ( price in 1983 ) × 100
219 = ( x : 12.95 ) × 100
Divide both sides by 100.
x : 12.95 = 2.19
x =2.19 × 12.95
x = $28.36 ( expected price )
p = ( 24.50 × 100 ) / 28.36
p= 2450/28.36
p = 86.4 %
100 % - 86.4 % = 13.6 %
Hence, the actual price is 13.6% lower than the expected price.
To know more about cpi click the link given below.
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BRAINLIEST TO CORRECT ANSWER!!!!
A circular garden has a diameter of 12 yards. What is the area of the garden?
Use 3.14 for pi.
O A. 452.16 yd
O B. 56.52 yd
O C. 113.04 yd
O D. 37.68 yd
Answer:
As Per Provided Information
Diameter of Garden 12 yards
Radius of Garden will be 12/2
Radius of Garden will be 6 cm
We have been asked to find the area of the circular garden .
Formula Used here
[tex] \underline{\boxed {\bf \: Area_{(Garden)} \: = \pi {r}^{2}}} [/tex]
Just put the value and let's calculate the area of circular garden .
[tex] \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 3.14 \times {6}^{2} \\ \\ \\ \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 3.14 \times 36 \\ \\ \\ \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 113.04 \: {yard}^{2} [/tex]
Therefore,
Area of circular garden is 113.04 yard².Step-by-step explanation:
Given :-
Diameter of garden is 12 yard , so radius will be 6 yardsWe have to find the area of garden
Area of Circle = πr²
Putting the known values ,
Area = 3.14 × 6² yd²
Area = 113.04 yd²
you and your friend are selling tickets for the orchestra concert, On Thursday, you sold 15 tickets and your friend sold 10 tickets.
A. What percent of the tickets sold on Thursday did you sell?
B. On Friday, you sold 9 tickets and your friend sold 16 tickets. What percent of the tickets sold on Friday did you sell?
C. What percent of the total tickets sold on Thursday and Friday did you sell?
Answer:
....
Step-by-step explanation:
The total tickets sold is 10+15=25.
The percentage of tickets told by me will me 15/25=3/5 or 60%.
Similarly for the second one: total sold 9+16=25
my proportion 9/25=36%
The numbers of beans in some cocoa pods are 30 28 30 35 40 25 36 38 and 40. Calculate the mean number of beans per cocoa pods
As smart phones have grown in popularity, regular cell phones have fallen out of favor. As a result, one electronics retailer estimates that 10.5% fewer regular cell phones will be sold every year. If the retailer sells 847,901 regular cell phones this year, how many will be sold 5 years from now?
Answer:
4,239,505
Step-by-step explanation:
847,901 x 5 = 4,239,505
Which expression is equivalent to startfraction (3 m superscript negative 2 baseline n) superscript negative 3 baseline over 6 m n superscript negative 2 baseline endfraction? assume m not-equals 0, n not-equals 0.
The expression that is equivalent to the given statement was reduced.
The given expression is:
[tex]\frac{(3m^{-2}n)^{-3} }{6mn^{-2} }[/tex]
What are some important power rules?Some important power rules are:
[tex](ab)^n=a^nb^n[/tex]
[tex](a^{m} )^n=a^{mn}[/tex]
[tex]a^m.a^n=a^{m+n}[/tex]
[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]a^{-m} =\frac{1}{a^m}[/tex]
So, the given expression can be written as:
[tex]\frac{3^{-3} m^{6} n^{-3} }{6mn^{-2} }[/tex]
=[tex](\frac{3^{-3} }{6} )*(\frac{m^{6} }{m} )*(\frac{n^{-3} }{n^{-2} } )[/tex]
=[tex](\frac{1}{3^{3} *6} )*m^{5} *(\frac{1}{n^{3} *n^{-2} } )[/tex]
=[tex]\frac{m^5}{162n}[/tex]
Hence, the expression that is equivalent to the given statement was reduced.
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Pls help nothings helping !!
Answer:
Step-by-step explanation:
∠BCD=∠DEF=38°(alternate angles)
∠FDE=90-38=52°
Δ BCD≅ΔFED
[tex]\frac{CD}{sin~90} =\frac{10}{sin~38} \\CD=\frac{10}{sin~38} \\\frac{DE}{sin ~90} =\frac{17}{sin ~52} \\DE=\frac{17}{sin~52} \\CE=CD+DE=\frac{10}{sin~38} +\frac{17}{sin~52} \\=?[/tex]
A rectangular prism has a height of 15 centimeters and a width of 6 centimeters. The surface area of the prism is 684 square centimeters. What is the length of the prism?
A. 24 cm
B. 12 cm
C. 9 cm
D. 6 cm
Answer:
Step-by-step explanation:
Let the length be L
Formula
SA = 2Lw + 2Lh + 2wh
Givens
h = 15 cm
w = 6 cm
L = ?
SA = 684 cm^2
Solution
Substitue what you know into the given formula
2*6*L + 2*15*L + 2 * 6 * 15 = 684 Combine
12*L + 30*L + 180 = 684 Combine again
42L + 180 = 684 Subtract 180 from both sides.
42L +180 -180 = 684 - 180
42L = 504 Divide by 42
Answer: L = 12
Sabina wants to decorate her square table with ribbon around the edge. If the length of one side of the table is 2 meters, how much ribbon does she need?
Answer:
8 meters of ribbon
Step-by-step explanation:
because a square has four sides so if you do 2×4 =8