A classroom floor is in the shape of a trapezoid and needs to be tiled. one of the parallel
sides of the room measures 25 feet and the opposite side measures 19 feet. the distance
between these sides is 21 feet. which answer represents the area of the classroom floor?
show how you determined your answer.
a 462 ft2
b.
475 ft2
c. 924 ft?
d. 950 ft2
does the following form a proportion 2/3 = 6/9
Answer:
yes
Step-by-step explanation:
2/3=6/9
2/3=2/3
it is because 6 and 9 is divided by 3
please helppppp i really need this.
A right rectangular pyramid is sliced horizontally (across) at the red line by a plane parallel to the base. What is the shape of the cross-section?
Please help I’m having trouble understanding this question
Answer: <1 = 26°
Step-by-step explanation:
given that:
• <ABD = 66°
• <2 = 14° + <1 (since ''more than' means we add)
• Find <1
Since it is obvious that <ABD is a sum of <1 and <2:
⇒ <ABD = <1 + <2
now we know that <2 is 14° more than <1 and that <ABD = 66°
⇒ 66° = <1 + (14° + <1)
⇒ 66° = <1 + 14° + <1
⇒ <1 = (66° - 14°) ÷ 2
⇒ <1 = 26° ...Answer...
hope that helps...
What is an equation of the line that passes through the point (-7,-6) and is parallel to the line x-y=7?
Answer:
y = x + 1
Step-by-step explanation:
Step 1: Find the slope.
Parallel lines have the same slope. That means that the line we are seeking is going to have the same slope as line x - y = 7.
To find the slope of the line x - y = 7 let's change it to the slope-intercept form.
Slope-Intercept Form
y = mx + b
m ... slope
b ... y-intercept
Let's change the equation of the parallel line to slope-intercept form (isolate y).
x - y = 7
Add y on both sides.
x - y + y = 7 + y
x = 7 + y
Subtract 7 on both sides.
x - 7 = 7 + y - 7
x - 7 = y
y = x - 7
Let's read the slope from the equation.
Instead of y = x - 7 we can write y = 1x -7.
Now it's obvious that m (slope) is 1.
m = 1
So far, our equation of the line is:
y = 1x + b
which is te same as
y = x + b
Step 2: Find y-intercept.
To find out y-intercept (b), we substitiute the point (-7, -6) in the equation. Points are in form (x, y) so -7 is x and -6 is y.
y = x + b
-6 = -7 + b
Solve for b.
1 = b
Step 3: Substitute slope and y-intercept in general formula for slope-intercept form of the line.
Now substitute m and b in slope-intercept form y = mx + b.
m = 1
b = 1
Equation of the line:
y = x + 1
what is the difference in length between 15 1/8 and 14 5/8
Answer:
4/8
Step-by-step explanation:
15 1/8 - 1/2(4/8) = 14 5/8
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Completing the squares, the correct statements regarding the equation of the circle are given by:
The radius of the circle is 3 unitsThe center of the circle lies on the x-axis.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is given by:
x² + y² - 2x - 8 = 0.
Completing the squares:
(x - 1)² + y² = 8 + 1²
(x - 1)² + y² = 9.
Hence the center is (1,0), the radius is 3, and the correct statements are:
The radius of the circle is 3 unitsThe center of the circle lies on the x-axis.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.More can be learned about the equation of a circle at https://brainly.com/question/24307696
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Factor the expression x2 − 14x + 45 completely.
Answer:
(x-9)(x-5)
Step-by-step explanation:
x²-5x-9x+45
x(x-5)-9(x-5)
(x-9)(x-5)
Answer:
(x-9)(x-5)
Step-by-step explanation:
To factor this expression, you need to find two values that have a sum of -14 and also have a product of 45. The values -5 and -9 meet these requirements and become the constants in the two factors of the expression,
x2 − 14x + 45 = (x − 9)(x − 5).
graph the zeros of the polynomial function p(x)=(x-1)^2(x+3)(x-2)
Answer:
69
Step-by-step explanation:
420
Line / is parallel to line m. The slope of line / is 2/7. What is the slope of line M ?
Answer:
The slope would also be 2/7.
Step-by-step explanation:
The two lines are parallel, meaning that they follow the same slope. If line / has a slope of 2/7, then line M must have the same slope as well. I hope this helps! :)
Let (-3, 5) be a point on the terminal side of 0.
Find the exact values of cos0, csc 0, and tan 0.
Answer:
[tex]\displaystyle \large{\cos \theta = \dfrac{-3}{\sqrt{34}} = -\dfrac{3\sqrt{34}}{34}}\\\\\displaystyle \large{\csc \theta = \dfrac{\sqrt{34}}{5}}\\\\\displaystyle \large{\tan \theta = -\dfrac{5}{3}}[/tex]
Step-by-step explanation:
Accorded to trigonometric formula, we know that:
[tex]\displaystyle \large{\cos \theta = \dfrac{x}{r}}\\\\\displaystyle \large{\csc \theta = \dfrac{1}{\sin \theta} = \dfrac{1}{\frac{y}{r}} = \dfrac{r}{y}}\\\\\displaystyle \large{\tan \theta = \dfrac{\sin \theta}{\cos \theta} = \dfrac{y}{x}}[/tex]
We know what x and y are but not yet knowing what r is. We can find r (radius) using the formula:
[tex]\displaystyle \large{r=\sqrt{x^2+y^2}}[/tex]
Input x = -3 and y = 5 in.
[tex]\displaystyle \large{r=\sqrt{(-3)^2+(5)^2}}\\\\\displaystyle \large{r=\sqrt{9+25}}\\\\\displaystyle \large{r=\sqrt{34}}[/tex]
Hence, radius is √34 and we know all we need now. Substitute x = -3, y = 5 and r = √34 in respective areas.
[tex]\displaystyle \large{\cos \theta = \dfrac{-3}{\sqrt{34}} = -\dfrac{3\sqrt{34}}{34}}\\\\\displaystyle \large{\csc \theta = \dfrac{\sqrt{34}}{5}}\\\\\displaystyle \large{\tan \theta = -\dfrac{5}{3}}[/tex]
These are the answers to your question. Please let me know if you have any questions regarding my answer or explanation!
Find the measure of angle A.
A
9x+6
4x + 6
m/A=
Answer:
angle A=30°
Step-by-step explanation:
[tex]9x + 6 + 4x + 6 + 90 = 180 \\ 13x + 102 = 180 \\ 13x = 180 - 102 \\ 13x = 78 \\ \frac{13x}{ 13} = \frac{ 78}{13} \\ x = 6 \\ 4x + 6 = a \\ 4(6) + 6 = a \\ 24 + 6 = a \\ 30 = a[/tex]
The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
This is an equilateral triangle, therefore, all the angles are 60 degrees.
3 times 60 is 180.
180 is the answer
PLEASE SOLVE ITS UrgeNT I WILL MARK YOU BRAINLIEST! PLEASEE
Answer:B
Step-by-step explanation:
The amoeba splits 24 times, meaning that the number of amoebas will be
2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2 or 2^24
Sam borrowed $2,000,000 for a
period of four years. his interest
rate is 5%. how much interest will
sam pay in all?
helpp
The total amount Sam will pay in all will be $2,400,000
Simple interest
From the question, we are to determine the interest Sam pays in all
Using the simple interest formula,
I = PRT
From the given information,
P = $2,000,000
R = 5% = 0.05
T = 4
Putting the parameters into the formula,
I = $2000000 × 0.05 × 4
I = $400000
The interest Sam will pay is $400,000
The total amount Sam will pay in all will be $2,000,000 + $400,000
= $2,400,000
Hence, the total amount Sam will pay in all will be $2,400,000
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Answer:
Step-by-step explanation:400000
Please help me asap
Answer:
5x + [tex]\frac{1}{8}[/tex]y = 3/8
Step-by-step explanation:
Add [tex]\frac{5x}{8}[/tex] to both sides
[tex]\frac{5x}{8}[/tex] + y = 3
Divide both sides by 8
5x + [tex]\frac{1}{8}[/tex]y = 3/8
Step-by-step explanation:
standard form is given by Ax + By = C
hence,
the answer is:
5x + 8y = 24
A jewelry store has 88 rings to display they arrange the rings in a even rose how many rings are in each row
Answer:
2,4,8,11,22, or 44
Step-by-step explanation:
To figure out how many rings would be in each full row with no leftovers, we need to find all the factors of 88 (outside of 1 and 8) which are 2,4,8,11,22, and 44. Since the question does not give any more information on how big the rows need to be, I can't narrow this down any further, however if I had to choose I would say rows of 8 by 11 would be the best.
Hope this helps! :)
What is 1 2/3 multiple 2/3
Answer:
[tex]1\frac{1}{9}[/tex]
Step-by-step explanation:
Given the following question:
[tex]1\frac{2}{3} \times\frac{2}{3}[/tex]
In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.
[tex]1\frac{2}{3} =3\times1=3+2=\frac{5}{3}[/tex]
[tex]\frac{5}{3} \times\frac{2}{3}[/tex]
[tex]5\times2=10[/tex]
[tex]3\times3=9[/tex]
[tex]=\frac{10}{9}[/tex]
Convert the improper fraction into a mixed number:
[tex]\frac{10}{9}[/tex]
[tex]\frac{10}{9} =10\div9=1\frac{1}{9}[/tex]
[tex]=1\frac{1}{9}[/tex]
Your answer is "1 1/9."
Hope this helps.
Tracy has a long weekend coming up, and she wants to spend all 3 days camping at Moose Hill Forest. She
checked the weather and found that there is a 25% chance of rain each day. How likely is it that the weather will
stay dry the entire time?
Answer:
a 75% chance the weather will stay dry
Step-by-step explanation:
3/4
1930 to the nearest 1000
Answer:
2000.
Step-by-step explanation:
The hundreds digit is 9 so we round up the 1 so the answer is 2000.
Consider the equation 7*e^0.1t=47 solve the equation for t. epress the solution as a logarithm in base-e
An equation is formed of two equal expressions. The equation 7*e^0.1t=47 can be expressed as t=[ln (47/7)]/0.1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation 7*e^0.1t=47 in terms of logarithm in terms of base-e can be solved as,
[tex]7e^{0.1t}=47\\\\e^{0.1t}=\dfrac{47}{7}\\\\0.1 t = {\rm ln}(\dfrac{47}{7})\\\\t = \dfrac{ {\rm ln}(\frac{47}{7})}{0.1}[/tex]
Hence, the equation 7*e^0.1t=47 can be expressed as t=[ln (47/7)]/0.1.
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Five friends worked as sales clerks at a local shopping mall during the summer. This table shows how much each person earned during the summer. Which measure of central tendency is most affected by Renee’s salary? A. the median only B. the mean only C. the mode only D. the mean and the median
Answer:
The Median
Step-by-step explanation:
i did the quiz
Answer:
A. the median only
Step-by-step explanation:
Make sure your answer is in
degrees. You should be able to
find this without a calculator.
sin-¹ (sin 17°) = [ ? ]°
The value of sin⁻¹ (sin 17°) is 17° or 17 degree after applying the trigonometric identity sin⁻¹ (sinx) = x
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
= sin⁻¹ (sin 17°)
The above expression represents an angle.
Let's suppose the angle is x and sin of x is sinx
sinx is a ratio of side opposite to the angle to hypotenuse.
If we take sin inverse of sinx we get an angle of x.
sin⁻¹ (sinx) = x
sin⁻¹ (sin 17°) = 17 degree
Thus, the value of sin⁻¹ (sin 17°) is 17° or 17 degree after applying the trigonometric identity sin⁻¹ (sinx) = x
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12e < -96
Solving one step inequalities
(Please help! I need an actual answer not if it’s true or false / unidentified)
I forgot how do do these anyone remember please
Answer:
x ≤ 1/2
Step-by-step explanation:
Domain: input values (x-values)
We cannot take a square root of a negative number, therefore
3 - 6x ≥ 0
Solving the inequality:
⇒ 3 - 6x ≥ 0
⇒ 3 ≥ 6x
⇒ 1/2 ≥ x
⇒ x ≤ 1/2
Therefore, the domain is x ≤ 1/2
rainbow's is having a discount on swimsuits for the start of summer. the original price of the swimsuit is $30 and it is marked as 25% off. what is the
sale price that the customer will pay?
Answer:
22.50
Step-by-step explanation:
25 percent 30
= (25/100)30
= (25*30)/100
= 750/100 = 7.50
$30 - $7.50 = $22.50
Please provide a step by step.
Answer:
5. m<STP = 134
6. m<PTS = 158
Step-by-step explanation:
5. Since ray TR bisects <PTS, angles PTR and STR are congruent.
m<PTR = m<STR
3x - 8 = 2x + 17
Subtract 2x from both sides.
x - 8 = 17
Add 8 to both sides.
x = 25
m<STP = 2m<PTR
m<STP = 2(3x - 8)
m<STP = 2(3 × 25 - 8)
m<STP = 2(67)
m<STP = 134
6.
2m<PTR = m<PTS
2(x - 23) = x + 56
2x - 46 = x + 56
x = 102
m<PTS = x + 56
m<PTS = 102 + 56
m<PTS = 158
Select the correct answer from the drop-down menu.
Based on the construction shown, what conjecture can you make?
Line segment AB__ line segment CD.
Line segment AB is the same length as line segment CD.
What is a line segment?A line segment is defined as the part of a line that is divided in parts using two or more end points for easy observation.
From the given diagram, the line segment AB is the same as the line segment CD because the line segment CD was shifted a bit from the point of origin of line segment AB.
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solve pls i need answer asap
all 1-6
Step-by-step explanation:
the domain is the set or interval of all valid x values.
the range is the set or interval of all valid y values.
1.
domain = {-1, 2, 5}
range = {0, 2, 3, 7}
function : no, because x = -1 has 2 different y values assigned (7 and 2). that violates the definition of a function.
2.
domain = {-3, -2, -1, 1, 4}
range = {-5, -1, 0, 2}
function : yes. every x bake has exactly one y value assigned.
3.
domain = {4, 6, 7}
range = {-1, 2, 3, 5}
function : no, because x = 4 has 2 different y values assigned (2 and 5).
4.
domain = [-3, 3) "3" is not included, hence the empty dot
range = [-4, 5]
function : yes
5.
domain = (-infinity, +infinity) "infinity" is not a possible value, so the limits are not included.
range = [-1, 2]
function : yes
6.
domain = [-2, +infinity)
range = (-infinity, +infinity)
function : no. except for x = -2 all x values have 2 different y values assigned.