Answers
Answer:
9.76
Step-by-step explanation:
area of a rectangle = length * breadth
length = (2x + 3)
breadth = x
given area is 220 sq. inches.
thus,
220 = x * (2x+3)
220 = 2x² +3x
2x² + 3x -220 = 0
x = (-b + √ ( b²-4ac) ) ÷ 2a
x = ( -3 + √ ( 3² - 4*2*220) ) ÷ 2*2
x =9.76
Related Questions
Find Y.
Round to the nearest tenth.
Answers
Answer:
Y ≈ 59.0°
Step-by-step explanation:
Using the Cosine rule
cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]
with x = 22, y = 20, z = 18
cosY = [tex]\frac{22^2+18^2-20^2}{2(22)(18)}[/tex]
= [tex]\frac{484+324-400}{792}[/tex]
= [tex]\frac{408}{792}[/tex] , then
Y = [tex]cos^{-1}[/tex] ( [tex]\frac{408}{792}[/tex] ) ≈ 59.0° ( to the nearest tenth )
What's the measure of X
Answers
180-25-85= 70°
the answer is A 70°
Need the Answer for this, provide an explanation.
Answers
Answer:
D) -5x(x² + 2x + 3)
Step-by-step explanation:
-5x³ - 10x² - 15x
Common factor:
-5x
Factored:
-5x(x² + 2x + 3)
Johnathan wants to paint the bottom of his swimming pool the color blue. the swimming pool has a diameter of 50 feet . How many square feet will Johnathan need to paint ?
Answers
d = 50^r = 25 A = 2
A = (25)2
A = (3.14)(625) A = 1,962.5
A rocking horse has a weight limit of 60 pounds. What percentage of the weight limit is 33 pounds?
Answers
Answer:
57 pounds weight is 95 percent of the limit i think
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
50% of 60 is 30
5% of 60 is 3
prove why 2,5,8,11 and 14 are not perfect squares?
Answers
Answer:
because there is an exact square number such as:4,9
Answer:
✓2=1.41421
✓5=2.23607
✓8=2.82842
✓11=3.31662
✓14=3.74166
Step-by-step explanation:
Therefore the numbers are increasing by three so they cant be perfect square
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies. Which expression shows how many pounds of sugar the baker used?
Answers
Step-by-step explanation:
You have 6 pounds of sugar, when you set it into 3 containers, you will get:
6:3=2 ( pounds per container)
And he used one container for pies it would be:
1 container contains 2 pounds of sugar, so he used 2 pounds of sugar.
A can of juice has a radius of 4 inches and a height of 7 inches. What is the volume of the can?
Round your answer to the nearest tenths place.
Answers
Answer:
351.7
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
V = 3.14(4²)(7)
V = 3.14(16)(7)
V = 50.24(7)
V = 351.68
Rounded to the nearest tenth:
351.7
Could I get some assistance with this one? I'm a little stuck. Thank you so much! C:
Answers
Answer:
$13.64
Step-by-step explanation:
you need about 1853 sheets of paper which is
1853 ÷ 500, or 3.706 reams
if 1 ream costs $3.68 then 3.706 reams costs 3.706 × 3.68 or $13.64
Solve the right angle . Round decimal answers to the nearest tenth
Answers
9514 1404 393
Answer:
YZ = 8.5∠X = 70.5°∠Z = 19.5°Step-by-step explanation:
There are a couple of ways to do this. We can find YZ using the Pythagorean theorem, or we can find it using trig functions.
We know from SOH CAH TOA that ...
Cos = Adjacent/Hypotenuse
cos(X) = 3/9 = 1/3
X = arccos(1/3) ≈ 70.5°
Angle Z is the complement of this, so is ...
Z = 90° -70.5° = 19.5°
__
The length of side YZ can be found from ...
Sin = Opposite/Hypotenuse
sin(X) = YZ/XZ
YZ = XZ·sin(X) = 9·sin(70.5°) ≈ 8.485 ≈ 8.5
__
In summary, ...
YZ = 8.5; ∠X = 70.5°; ∠Z = 19.5°
solve for x in the rectangle below
Answers
Answer:
There isnt a rectangle buddy
Step-by-step explanation:
• A rope 75 meters long was cut into pieces that were each 1.5 meters long.
How many pieces resulted?
Help!!
Answers
75/1.5=50
Can I please have brainliest?
Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1
Answers
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
The solution to the matrix equation ...
[tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]
is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.
[tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]
Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation
Answers
Answer:
[tex]y = \frac{5}{2}x[/tex]
Step-by-step explanation:
Given
Variation: Direct from y to x:
[tex]y\ \alpha\ x[/tex]
[tex]y =15; x = 6[/tex]
Required
Write the equation
[tex]y\ \alpha\ x[/tex]
Express as an equation
[tex]y = kx[/tex]
Where k is the constant of variation
Substitute [tex]y =15; x = 6[/tex]
[tex]15 = 6k[/tex]
Solve for k
[tex]k = \frac{15}{6}[/tex]
[tex]k = \frac{5}{2}[/tex]
Substitute [tex]k = \frac{5}{2}[/tex] in [tex]y = kx[/tex]
[tex]y = \frac{5}{2}x[/tex]
5/3 plus 11/4 I NEED IT FAST!!
Answers
Use the table to write each ratio Redbirds to blue socks
Answers
Please Help!!!
NO xtiny urls
Answers
Answer:
Step-by-step explanation:
pls show your work if possible
Answers
Answer:
32 in²
Step-by-step explanation:
A= ((a+b)/2)*h
A= ((6+10)/2)*4
A=32
plsss help and please dont be scammer
Answers
Answer:
38 students
Step-by-step explanation:
because 19% of 205 is 38.95, but not fully 39 students, so about 38 students
Find the scale factor used to go from the actual picture to the scale drawing!
Answers
Answer:
1/3
Step-by-step explanation:
9:6
3:2
9/3 = 3
6/2 = 3
9 x (1/3) = 3
6 x (1/3) = 2
scale factor is 1/3
Marya has $146 in her checking account . She writes a check for $193 . What is the new balance in her checking account ?
Answers
Answer:
-$47
Step-by-step explanation:
If she has $146 in he account and we take away $193, we are left with -$47, making her in debt.
Vicky made some purchases at the
Sunflower Market. She bought strawberries
for $3.50, carrots for $2.25 and a bouquet of
flowers for $9.95. If sales tax is 5%, what will
Maria pay altogether?
1. $16.48
2. $15.70
3. $16.49
4. $16.50
Answers
Step-by-step explanation:
Vicky Bought:
Strawberries $3.50
Carrots $2.25
Flowers $9.95
Subtotal $3.50 + $2.25 + $9.95
= $15.70
5% Sales Tax (5% of Subtotal) = 5/100 x $15.70
= $0.785 (will not round off here as it is not the final answer.)
Total = Subtotal + 5% Sales Tax
= $15.70 + $0.785
= $16.485
= $16.49 (rounded off to nearest cent)
Convert 3y=-x + 5 into slope form
Answers
Answer:
y=-x/3+5/3
Step-by-step explanation:
slope form is y=mx+b
8. Daren and Josh are pretty good free throw shooters. Daren makes 75% of the
free throws he attempts. Josh makes 80% of his free throws. Suppose we take
separate random samples of 50 free throws each from Daren and Josh, and
record the proportion of free throws that are made by each. Which of the
following best describes the sampling distribution of PD - Pj?
Answers
Answer:
B) Approximately normal, with mean -0.05 and standard deviation 0.083
Step-by-step explanation:
The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.
The distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083
What is the distribution of population proportion?For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]
Then, we get:
[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]
where
[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity, and n = size of sample drawn.What is the distribution of random variable which is sum of normal distributions?
Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
Here, we're specified that:
For proportion of correct free throw attempts by Daren:
Sample size = n = 50Estimated proportion = [tex]\hat{p}_D = 75\% = 0.75[/tex]Let the population proportion be represented by variable [tex]p_D[/tex]For proportion of correct free throw attempts by Josh:
Sample size = n = 50Estimated proportion = [tex]\hat{p}_J = 80\% = 0.8[/tex]Let the population proportion be represented by variable [tex]p_J[/tex]And therefore, we have:
[tex]p_D \sim N\left (0.75, \sqrt{\dfrac{0.75 \times 0.25}{50}}\right )\\\\p_J \sim N\left (0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex]
And therefore, we get:
[tex]-p_J \sim N\left (-0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex] (standard deviation doesn't get affected by change of sign of the considered random variable, and mean gets affected linearly, so mean became negative 0.80 and standard deviation stays same).
Adding [tex]p_D[/tex] and [tex]-p_J[/tex], we get:
[tex]p_D + (-p_J) = p_D - p_j \sim N\left (0.75 -0.80, \sqrt{\dfrac{0.8 \times 0.2}{50} + \dfrac{0.75 \times 0.25}{50}}\right )\\\\p_D - p_J \sim N\left( -0.05, 0.0837\right)[/tex]
Thus, the distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083
Learn more about population proportion here:
https://brainly.com/question/7204089
where is -3 3/4 on a number line
Answers
Answer:
here lol https://imageshare.best/8R2I7D
Step-by-step explanation:
Calculate the slope of the line using two points.
Question 1 options:
-1/4
1
-4
1/4
Calculate the slope of the line using two points.
Question 2 options:
1
2
4
1/4
Calculate the slope of the line using two points.
Question 3 options:
1/3
2/3
3/2
3
Question 4
Calculate the slope of the line using two points.
Question 4 options:
1/3
2/3
3/2
2
Answers
Can someone pls help with this
Answers
Answer: 4
Step-by-step explanation:
What is the slope, m, of the line through (-7, -2) and (-6, 7)?
Answers
Answer:
Slope = 9
Step-by-step explanation:
(-7 , -2) ; x₁ = -7 and y₁ = -2
(-6 , 7) ; x₂ = -6 and y₂ = 7
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9[/tex]
State the cross section of the shape found in the picture
Answers
What is the value of the expression below when y=2 AND z=8?
8y-z
Answers
Answer:
Step-by-step explanation: