Answers
The figure gives a dimension for the hypotenuse of 19
the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:
19^2 = 17^2 + base^2
Simplify:
361 = 289 + base^2
Subtract 289 from both sides:
72 = base^2
Take the square root of both sides:
Base = 8.49 Round to 8.5
There are two identical triangles on each sides, so 8.5 x 2 = 17
The length of the two triangle bases is 17
The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14
And X would be the same length as the bottom rectangle.
Therefore x = 14
Answer:
x = 14
Step-by-step explanation:
Inside the trapezoid, there are two right triangles, with a hypotenuse of 19 and a leg of 17. The other leg can be computed with the help of the pythagorean theorem as follows:
\( {c}^{2} = {a}^{2} + {b}^{2} \\ {19}^{2} = {17}^{2} + {b}^{2} \\ 361 = 289 + {b}^{2} \\ 361 - 289 = {b}^{2} \\ 72 = {b}^{2} \\ \sqrt{72} = {b}^{2} \\ 8.5 = b\)
Now, we can calculate the value of x, as follow;
8.5 + x + 8.5 = 31
17 + x = 31
x = 31 - 17
x = 14
Related Questions
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
A. √2:2
B. √√3:√√3
C. √5:3
D. 1 √3
□ E. 1: √2
O F. 2:3
SUBMIT
Answers
Answer: E
Step-by-step explanation:
I need help with this one
Answers
Answer:
(2/3)^3
8/27 in^3
Step-by-step explanation:
Answer:
3
0.29629629629in³
Step-by-step explanation:
To find the volume of a cube you multiply the length by the width by the height. Since all the sides of the cube are the same, its the same measure multiplied three times, ie. to the power of three.
(2/3)³=0.29629629629in³
Annette has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph , how long should she plan to spend walking back?
Answers
Answer:
Annette should plan to spend 2.25 hours walking back.
Step-by-step explanation:
To solve this problem, we can use the formula:
Time = Distance / Speed
Let's assume the distance of the race is D miles.
Annette spends her time running the distance of the race, which takes:
Time running = D / 9 hours
She then walks back the same distance, which we need to find the time for:
Time walking = D / 3 hours
Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:
D / 9 + D / 3 = 3
To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:
D + 3D = 27
Combining like terms:
4D = 27
Dividing both sides of the equation by 4:
D = 6.75
So, the distance of the race is 6.75 miles.
To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:
Time walking = D / 3 = 6.75 / 3 = 2.25 hours
Therefore, Annette should plan to spend 2.25 hours walking back.
Given y=4x+2, find the domain value if the range value is 4
Answers
4-2=4x+2-2
2=4x
Divided both sides by 4
X=1\2
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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Katie rents a car when spending her vacation in Argentina while she returns the car she has driven 900 miles and used about 36 gallons of gas if you guess cost an average of $4.139 Per gallon estimate how much she spent on fuel
Answers
Given that Katie had driven 900 miles and used about 36 gallons of gas.
The average cost of gas per gallon = $4.139
The amount she spent on gas would be:
\(\text{ The average cost of gas per gallon x gallons of gas used}\)Hence, the amount Katie spent on gas would be:
\(\begin{gathered} \text{ }\frac{\text{\$4.139}}{\text{gallon}}\times\text{ 36 gallons} \\ =\text{ \$149.004} \end{gathered}\)She spent $149.004
Consider the distribution Ber(0.25). Consider the categorical statistical model({a1,..., ax},{Pp}) for this Bernoulli distribution. If we let Q1 = 1 and a2 =0, then this corresponds to a categorical distribution P, with parameter vector p given by:______.
a. 0.25
b. 0.75
c. (0.25 0.75]^T
d. [0.75 0.25)^T
Answers
Answer:
c. [0.25 0.75] ^T
Step-by-step explanation:
Bernoulli distribution is used to identify number of successes and failures in the selected sample. In the given problem Ber distribution trial is 0.25. There will be categorical distribution of 0.75 and the trial will be done on parameter vector.
Greg trained for a triathlon for 9 hours yesterday. He ran 9 miles and then biked 135 miles. His biking speed is 12 mph faster than his running speed. What is his running speed?
Answers
The running speed is 2 mi/hr
Using the formula for calculating his speed;
Speed = distance/time
Let his running speed be "s"
If his biking speed is 12 mph faster than his running speed, then biking speed is s + 12
If he ran 9 miles and biked for 135 miles, then the required speed will be expressed as:
s + 12+s = 135/9 + 9/9
2s + 12 = 144/9
2s + 12 = 16
2s = 16 - 12
2s = 4
s = 4/2
s = 2
Hence the running speed is 2 mi/hr
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Tell what whole number you can substitute for z in the following list so the numbers are ordered from least to greatest.
1/x, x/3, 80%
Answers
The whole number that can be substituted for z is 1.
The whole number you can substitute for zTo order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.
1/x can be rewritten as 0.01/x
80% can be written as 0.8
So, the list becomes:
0.01/x, x/3, 0.8
To compare 0.01/x and x/3, we can cross-multiply and simplify:
0.01/x < x/3
0.01*3 < x^2
0.03 < x^2
x > sqrt(0.03)
Since x has to be a whole number, the smallest possible value for x is 1.
So, substituting x = 1, the list becomes:
0.01, 1/3, 0.8
Ordering these from least to greatest, we get:
0.01, 0.8, 1/3
Therefore, the whole number that can be substituted for z is 1.
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7%of£40
show working out plz
Answers
Answer:
7% of 40 is 2.80
Step-by-step explanation:
0.07 x 40 = 2.8
Answer:
17.5%
Convert fraction (ratio) 7 / 40
then divide 7 by 40 and multiply by 100 and you get 17.5%
plz mark brainliest
Zak has 18 tennis balls. This i
Matt has 9 more tennis balls
How many tennis balls does
Answers
Answer:
The cost of 3 tennis balls and 2 golf balls is $7. The cost of 6 tennis balls and 3 golf balls is$12. Find the cost of 1 tennis ball and 1 golf ball.
Step-by-step explanation:
Which expression is equivalent to the one below? 6 ÷ 5
A 6:1/5
B 5:1/6
C 5/6
D 30
Answers
Answer:
option A
Step-by-step explanation:
6:1/5 can also be written as 6/1÷5 which equals to 6÷5
Answer:
Option A is equivalent to the expression.
Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answers
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answers
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
7x-8y=13 can someone please help me
Answers
Answer:
A
Step-by-step explanation:
Sub in the point given, (3, 1), and check if the equation holds true
7(3) - 8(1) = 13
21 - 8 = 13
13 = 13
The equation held true, therefore, the point (3, 1) is a solution
Suppose aggressive behavior is the dependent variable in a regression model and the other variables are independent variables. Is there evidence of extreme Multicollinearity
Answers
Answer and explanation:
Multicollinearity happens when multiple independent variables are correlated and therefore it is hard to determine which independent variable has the most impact or is most significantly affecting the dependent variable. This could be a source of confusion as the coefficients become less reliable.
Extreme multicollinearity occurs when there is exaggerated standard errors or increased variance of coefficient estimates.
Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes
Point
Slopes
(1, 1)
(a) 3 (b) -3 (c) -5/2 (d) Undefined
Answers
The sketch for slope is attached below.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Point Slopes
(1, 1) (a) 3
_ (b) -3
_ (c) -5/2
_ (d) Undefined
a) Now, using slope intercept form
y - 1= 3 (x-1)
y- 1= 3x- 3
y= 3x - 2
(b) Equation of a line has a slope -3 is given by
y - 1= (-3) (x-1)
y-1 = 3- 3x
y = -3x + 4
(c) Equation of a line has a slope -5/2 is given by
y - 1= (-5/2) (x-1)
y-1 = -5/2x + 5/2
y= -5/2x + 7/2
(d) The line parallel to y axis and passes through given point : x=1
"undefined" means the line is vertical.
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Wafa drove 420 kilometers using 18 liters of gas. At this rate, how many liters of gas would she need to drive 357 kilometers?
Answers
Answer:
15.3 litres
Step-by-step explanation:
You can do this many different ways, but this is how i did it:
1) I'm going to find how much gas it takes to travel just 1 km.
So, to drive for 1 km, I only need 18/420 litres of gas.
*you can solve this, but you'll just get a really long decimal, so i find it easier just to keep it as a fraction until i'm at the end of solving.
2) Now times the amount of petrol it takes to travel 1 km by 357, to find the final answer.
18/420 x 357 = 15.3 litres
Hope that helped : )
Write the slope-intercept form of the equation of the line given the
slope and y-intercept.
slope = -4; y-intercept = -7
Answers
Answer:
y= -4x-7 or 4x+y= -7
Step-by-step explanation:
we know y=mx+c
given,
m=-4 c=-7
the equation y= -4x-7 or 4x+y= -7
thank u
Answer:
y=-4x-7
Step-by-step explanation:
Hi there!
We are given that the slope of a line is -4, and the y intercept of this same line is -7
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept, hence the name
As we are given the values for both the slope and the y intercept of this line, we can immediately substitute those values into the equation
Let's start with the slope; substitute -4 as m in the equation
y=-4x+b
Now with the y intercept; substitute -7 as b into the equation
y = -4x - 7
Hope this helps!
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The data set shows the depth of a scuba diver, in meters, relative to sea level. The depths were recorded at regular intervals over a 25 min period. {-9, -18, -16, -13, -14} What is the estimated mean absolute deviation of the scuba diver's depth over the entire 25 min? Round to tenths if necessary. Please help!
Answers
Answer:
ZeroStep-by-step explanation:
Step 1. Find the mean
(- 9 - 18 - 16 - 13 - 14)/5 = - 14Step 2. Find the deviation of each value from the mean
- 9 - (- 14) = 5- 18 - (- 14) = - 4- 16 - (- 14) = - 2- 13 - (- 14) = 1- 14 - (- 14) = 0Step 3. Find the sum of the deviations
5 - 4 - 2 + 1 + 0 = 0Step 4. Find the MAD
0/5 = 0The expression below is equal to -20c plus a constant term. -8(2.5c-4.25)+5.25. What is the value of the constant term?
Answers
Answer:
39.25Step-by-step explanation:
Given the expression -8(2.5c-4.25)+5.25. On expansion;
\(= -8(2.5c-4.25)+5.25\\= -20c+34 +5.25\\= -20c + 39.25\).
The resulting expressing after expanding is \(-20c + 39.25\). The constant value in the expression is the value that has no variable 'c' attached. The value of the constant term is therefore 39.25
Simplify the expression below using the distributive property:
3 (4x - 2)
Answers
Answer:
12x - 6
Step-by-step explanation:
Multiply the 3 to both numbers in the parenthesis.
(3(4x) - 3(2))
3 * 4x = 12x
3 * 2 = 6
[12x - 6]
Answer:
12x - 6
Step-by-step explanation:
You will multiply the 3 with all the numbers in the parentheses.
so first you do 3 times 4x which gives us 12x
next you do 3 times -2 which gives us a -6
showing that the answer is
12x - 6
Have a good day!
We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."
Answers
large sample significance tests for a single proportion are based on the .group of answer choices a. statistic binomial b. distribution test
c. uniform distribution
Answers
Large sample significance tests for a single proportion are based on the statistic binomial. the correct option is A
What is significance tests?Significance test can be defined as tests for statistical significance indicate whether observed differences between assessment results occur because of sampling error. Significance tests give a formal process for using sample data to evaluate the likelihood of some claim about a population value.
Therefore a Large sample significance tests for a single proportion are based on the statistic binomial.
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3 to 2 if there are 120 children who like pizza, how many total
Answers
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
Among of the following, which has both length and width A.point B.Line C.Plane D.Set
Answers
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answers
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
Convert the following equation
into standard form.
y = -7x/2 - 3
Answers
y = -7x/2 - 3
y+3 = -7x/2
2y + 6 = -7x
7x + 2y = -6
Final possible answers: 7x + 2y = -6 or
6 = -7x-2y
Answer:
7x + 2y = - 6
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )
2y = - 7x - 6 ( add 7x to both sides )
7x + 2y = - 6 ← in standard form
Question 3
A group of 5 people went to the movies and spent $44 on food and drink. The total amount spent, including
tickets, was $98.50.
What was the price, in dollars, of one ticket?
Answers
Answer:
One ticket cost $10.90.
Step-by-step explanation:
The total spent was $98.50--food, drinks, admission--everything.
$44.00 was for food and drinks.
We can take the 44 away from the total.
98.50 - 44.00
= 54.50
They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.
54.50 ÷ 5 = 10.90
The price of one ticket was $10.90
To make this look like algebra class...
let x = the price of one ticket
5x = the price of 5 tickets
5x + 44 = 98.50
subtract 44
5x = 54.50
divide by 5
x = 10.90
Evaluate the expression
4x-3y when x=2 and y=-5
Answers
Answer:
in the expression 4x - 3y, when x = 2 and y = -5, the result is 23.
Step-by-step explanation:
4x - 3y
Substitute variables.
4(2) - 3(-5)
Multiply 4 and 2.
8 - 3(-5)
Multiply -3 and -5.
8 + 15
Add 8 and 15.
23
The following dot plots show the numbers of people per table at a bingo hall on two nights. Each
dot represents one of the 20 tables.
●●
H
H
0 1 2 3 4 5 6 7 8 9
People per table Tuesday
H
+
0 1 2 3 4 5 6 7 8 9
People per table Wednesday
Compare the typical number of people per table.
In general, there were more people per table on Select day
Select typical number of people ✓
per table.
with
Answers
In general, there were more people per table on Tuesday with 8 number of people per table.
What is a dot plot?In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.
By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.
In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.
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