Answer:
The correct option is;
D. 6,5
Step-by-step explanation:
TS and TU are midsegments
Segment PR = 18.2
Segment TS = 6.5
Given that TS is the midsegment of PR and PQ, therefore, TS = 1/2×QR
Which gives;
Segment QR = 2×TS = 2 × 6.5 = 13
Segment QR = 13
Given that TU is a midsegment to PQ and QR, we have that QU = UR
Segment QR = QU + UR (segment addition postulate)
Therefore, QR = QU + QU (substitute property of equality)
Which gives;
QR = 2×QU
13 = 2×QU
Segment QU = 13/2 = 6.5
The length of segment QU is 6.5.
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answer:
Increase in profit = 531.52
Step-by-step explanation:
I'll take your word for it.
What you'd need to do for each kind of pizza and price, multiply the number sold and profit/loss for each, and add them up.
Calculations have been tabulated and shown in the attached diagram.
Answer
Increase in profit
= 2221.88 - 1690.36
= 531.52
If the production rate is 975 brownies per hour at a bakery, how many brownies will be produced in an 8 hour shift?
Answer:
[tex]\large \boxed{\mathrm{7800 \ brownies}}[/tex]
Step-by-step explanation:
975 brownies are produced per 1 hour.
To find how many brownies are produced in 8 hours, multiply the brownies amount by the hours.
975 × 8 = 7800
7800 brownies will be produced in an 8 hour shift.
Answer:
the answer is 7800
Step-by-step explanation:
975 brownies are created per 60 minutes.
To discover what number of brownies are created in 8 hours, duplicate the brownies sum continuously.
975 × 8 = 7800
7800 brownies will be created in a 8 hour move.
How do u find the area of a rectangle?
Answer:
6x-21
Step-by-step explanation:
Area of a rectangle is length times width.
3*(2x-7)-
6x-21
Answer:
6x - 21
Step-by-step explanation:
Since area = L x W (Length x Width)
--> 3(2x - 7)
6x - 21
A bookstore decides to divide its space into three sections: nonfiction books, novels, and stationery. The bookstore wants to devote 1/6 of its space to stationery. If the total area of the bookstore is 288 square feet, and the stationery section will be 12 feet long, how wide will the stationery section be?
Answer:
Stationery section will be 4 feet wide.
Step-by-step explanation:
Total area of bookstore = 288 sq ft
Area to be devoted to stationery = [tex]\frac{1}6[/tex] of total area = [tex]\frac{1}{6} \times 288 = 48\ sq\ ft[/tex]
Length of stationery section = 12 ft
To find:
Width of stationery section = ?
Solution:
First of all, let us have a look at the area of rectangle:
[tex]A = Length \times Width[/tex]
Here, we are given the length for stationery section and area of stationery section has been calculated above.
And we have to find the Width of stationery section.
So, let us put the two values to find the third value.
[tex]\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}[/tex]
So, the answer is:
Stationery section will be 4 feet wide.
Suppose the graph in part A can be represented by the function f(x)=1.5x+750/x . What is the domain of this function? Consider the context of the function in your answer.
Answer:
Domain:
( − ∞ , 0 ) ∪ ( 0 , ∞ ) , { x | x ≠ 0 }
Step-by-step explanation:
i used math. way for help
Find an equation of the line with x-intercept 8 and y-intercept 4
Answer:
y = -1/2x + 4
Step-by-step explanation:
We have two points ( 8,0) and ( 0,4)
We can find the slope
m =(y2-y1)/(x2-x1)
= (4-0)/(0-8)
4/-8
-1/2
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/2x + 4
Answer:
Step-by-step explanation:
eq. of line with intercepts a and b is
[tex]\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\[/tex]
The sum of two consecutive cube numbers is 341. Work out the two numbers. (2 marks)
Answer:
63 and 53
Step-by-step explanation:
you could use trail and error. So:
13+23=9
33+43=91
63+73=559
53+63=341
What is the measure of
Answer:
40 degrees.
Step-by-step explanation:
Rotations are a rigid transformation and therefore preserve size and angles.
Giving brainliest!!!! Plzz put the correct answers.
2^(10)= 2x...x2 how many times
15^(57)= 15x...x15 how many times
(-4)x...x(-4) 7 times =
(1.5)x...x(1.5) 12 times =
If you give me the answer after like an hour i willl report you!!
Answer:
See below
Step-by-step explanation:
aⁿ = a×a×a×....×a (power n of the number a = number a multiplied by itself n times)2^(10)= 2x...x2 how many times = 10 times 2
15^(57)= 15x...x15 how many times = 57 times 15
(-4)x...x(-4) 7 times = (-4)^(7)
(1.5)x...x(1.5) 12 times = (1.5)^(12)
how many are 5 raised to 3 ???
Answer:
[tex]\boxed{125}[/tex]
Step-by-step explanation:
Hey there!
Well 5 raised to the 3 can be written as,
[tex]5^3[/tex]
This is 5*5*5
= 125
Hope this helps :)
Write this expression as a complex number in standard form
Answer:
[tex]81+144i[/tex]
Step-by-step explanation:
We want to simplify:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i[/tex]
Recall that:
[tex]\displaystyle \sqrt{-a} = i\sqrt{a}[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}[/tex]
Note that i² = -1.
In conclusion:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i[/tex]
CAN ANYBODY HELP ME OUT
Answer:
Correct option is
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Step-by-step explanation:
Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.
The foot S of PS is on the line RQ.
First of all, let us do a construction here.
Join the point R with P and P with Q.
Please refer to the attached image.
Now, let us consider the triangles PQS and PRS:
Side QS = RS (as given)[tex]\angle PSR = \angle PSQ = 90^\circ[/tex]Side PS = PS (Common side in both the triangles)Now, Two sides and the angle included between the two triangles are equal.
So by SAS congruence we can say that [tex]\triangle PRS \cong \triangle PQS[/tex]
Therefore, the corresponding sides will also be equal.
RP = QP
RP is the distance between R and P.
QP is the distance between Q and P.
Hence, to prove that P is equidistant from R and Q, we have proved that:
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadrian's Wall was built in England to keep out enemies. 306 C E Constantine became emperor.
How many years passed between the building of the Colosseum and the building of Hadrian’s Wall?
201
121
41
36
Answer:
the answer is 41
Step-by-step explanation:
C. 41
Step-by-step explanation:
If f(x)= Square root of X +12 and g(x)= 2 Square root of X what is the value of (f-g)(144)
Answer:
0
Step-by-step explanation:
find the sum of partial fraction for x^4/(x-1)(x²-4)
Answer:
see attachment
Step-by-step explanation:
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
Answer:
7x + 2
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12
If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.
Which of the following is true? Tangent is positive in Quadrant I. Sine is negative in Quadrant II. Cosine is positive in Quadrant III. Sine is positive in Quadrant IV.
Answer:
A
Step-by-step explanation:
I had this question and got it right the user above explains it in detail
I REALLY NEED HELP WITH THESE 5 QUESTIONS!!!!!!!!!
Answer:
is -5,-3
Step-by-step explanation:
set up the tablet and done
Please I Need Help :(
Answer:
D, 9^4 * 8^4
Step-by-step explanation:
The rule is whenever you have multiplication inside arentheses and it is raised to a power, you distribute the power to both the number s and solve.
I confirmed D is right on a calculator also.
Answer:
D
Step-by-step explanation:
the maximum value of 3/5sinx-12cosx+19
Answer:
Step-by-step explanation:
The given trigonometric expression is :
11 cos^2 x +3 sin^2 x+6sinx cosx +5
or, we can write it as,
(9 cos^2 x + 2 cos^2 x) + (2 sin^2 x + sin^2 x) + 6sinx cosx +5
Again, after rearranging the terms, we can write the whole expression as,
(9 cos^2 x + sin^2 x + 6sinx cosx) + (2 cos^2 x + 2 sin^2 x) + 5
Then if you factor the following underlined section as you would with a polynomial:
(9 cos^2 x + sin^2 x + 6sinx cosx) + (2 cos^2 x + 2 sin^2 x) + 5
You get:
(3 cos x + sin x)^2 + 2 (cos^2 x + sin ^2 x) + 5
Now, the term inside the second bracket (cos^2 x + sin ^2 x) is a very popular trigonometric identity and it's value is equal to one.
So, now the whole expression becomes,
(3 cos x + sin x)^2 +7
Now, the maximum and the minimum value of the whole expression depends upon the maximum and the minimum value of the term (3 cos x + sin x), which is of the form (a cosx + b sinx),
The maximum and minimum value of (a cosx + b sinx) is relatively easy to find.
So, I've attached a screenshot from a relevant document below:
Here, a=3 and b=1,
So, R= √10
As the value of cosine of any angle lies between -1 to 1, so the value of the value of expression cos(x − α) will lie between -1 to 1.
Hence, the maximum and the minimum value of (a cosx + b sinx) will be -R and R and all the values of the expression will lie between them.
i.e., in our case between (-√10) to √10.
Again, coming back to our original expression,
(3 cos x + sin x)^2 +7
The value of the term in bracket will lie between (-√10) and √10.
But, there is a catch here, as the squares of negative terms come out be positive, hence we can't take the negative term to find the minimum value of our expression. the minimum value of the expression will be at the minimum non-negative value in the range, which is zero.
So, the minimum value will be,
(0)^2 + 7=7
and the maximum value will be,
(√10)^2 +7 = 17
Find the sum and express it in simplest form.
(6u - 7c - 6) + (-2u + 4c)
Answer:
4u - 3c - 6
Step-by-step explanation:
Remove the parentheses and combine like factors.
(6u - 7c - 6) + (-2u + 4c)
6u - 7c - 6 - 2u + 4c
4u - 3c - 6
Use the number line to plot –3, 1, and 3.
Which statements are true? Select all that apply.
–3 > 1
–3 = 3
1 < 3
–3 < 1
Answer:
Options 3 and 4 are correct
Step-by-step explanation:
-3>1 is false bc a positive is always greater than a negative
-3=3 is false because a positive is not equal to a negative
1<3 is correct because 1 is less than 3
-3<1 is correct because a negative is always less than a positive.
Answer:
1 < 3
–3 < 1
Step-by-step explanation:
2x(7a+8a)-5 +56*2÷3
Answer:
Below
Step-by-step explanation:
● 2x(7a+8a) -5+56×2÷3
● 14ax + 8a -5 +56×2÷3
When you have multiplication and division go from left to right
● 14ax + 8a -5 +112÷3
● 14ax + 8a -5 +112/3
● 14ax + 8a - 15/3 + 112/3
● 14ax + 8a + 97/3
Add the matrices to find the answer.
Answer:
[tex]\large \boxed{\mathrm{Option \ C}}[/tex]
Step-by-step explanation:
[tex]{\mathrm{view \ attachment}}[/tex]
WILL MARK BRAINLIEST FOR CORRECT ANSWER. <3 <3 The area of the following rectangle is 24 square units. A. Write an equation that can be used to find the value of n. B. Solve the equation to find the value of n. In your answer, show all of your work.
Because area is multiplication lets multiply the sides and make an equation:
A 2(n-3) = 24
n-3=(12)
B n= 15
15-3 = 12
12 x 2 = 24
Answer:
2(n-3)=24
n=15
Step-by-step explanation:
2(n-3)=24
2n-6=24
2n=30
n=15
A cylindrical tank whose diameter is 1.4 metres and height 80 cm is initially empty. Water whose volume is 492.8 litres is poured into the tank. Determine the fraction of the tank filled with water. (4 mark
Answer:
The fraction filled with water is 7/40
Step-by-step explanation:
Okay.
Here we start by calculating the volume of the cylindrical tank.
Mathematically, that would be;
V = π * r^2 * h
From the question
r = 80 cm = 80/100 = 0.8 meters
h = 1.4 meters
π = 22/7
Plugging these values into the volume equation, we have;
V = 22/7 * 0.8 * 0.8 * 1.4 = 2.816 m^3
But mathematically;
1 m^3 = 1000 liters
So 2.816 m^3 = 2.816 * 1000 = 2816 liters
So the fraction filled with water will be;
492.8/2816 = 0.175 = 175/1000 = 7/40
2x+3-x=7
what is the answer to this by using solving multistep equations using combining like terms
Hey there! I'm happy to help!
Like terms are numbers with the same variable and same power. 5 and 7 are like terms because they have no variable. 6x and 6y are not because they have different variables. 7x² and 6y² are also not like terms because they have different variables. 7x and 5x are like terms, and 5y³ and 9y³ are like terms.
We see that 2x and -x have the same variables. We can then combine them.
2x-x=x
Now we have x+3=7.
We subtract 3 from both sides, giving us x=4.
Have a wonderful day! :D
Observe how the land division was planned for the preparation of a vegetable garden.
In it, lettuce, tomatoes, carrots, beets and corn will be planted.
Determine the monomial that represents the measure:
1-lettuce
2-beets
3-tomato
4-corn
5-carrot
Answer:
1-lettuce 4ab x 12ab = 48a²b²
2-beets 3ab x 3ab = 9a²b²
3-tomato 4ab x 5ab = 20a²b²
4-corn 2ab x 3ab = 6a²b²
5-carrot 12ab x 3ab = 36a²b²
Step-by-step explanation:
Bryan completed a 100-meter race in 11.74 seconds. Luis completed the same race in 11.69 seconds. What was the difference between their times, expressed as a fraction of a second?
Answer:
[tex]\frac{1}{20}[/tex] of a second
Step-by-step explanation:
We can convert each time into fractions.
11.74 is the same thing as [tex]11 \frac{74}{100}[/tex]
and 11.69 is the same thing as [tex]11 \frac{69}{100}[/tex].
We know that 11 - 11 = 0, so we can focus on the fractions for now.
Let's subtract [tex]\frac{69}{100}[/tex] from [tex]\frac{74}{100}[/tex].
[tex]\frac{74}{100} - \frac{69}{100} = \frac{5}{100}[/tex].
We can now simplify [tex]\frac{5}{100}[/tex] by dividing both the numerator and denominator by 5.
[tex]\frac{5\div5}{100\div5} = \frac{1}{20}[/tex].
Hope this helped!
how many eighth rests are in a half rest?