Answers
Answer:
∆PQR: Equilateral Triangle
∆PRT: Scalene Triangle
∆TQS: Isosceles Triangle
∆QNP: Right Triangle
Step-by-step explanation:
∆PQR is an Equilateral Triangle because all of its angles are equal (60°).
∆PRT is a Scalene Triangle because none of its sides are equal.
The triangle above it is equilateral, and one side length is 14, meaning all of its side lengths are 14.
This makes the top of ∆PRT 14. The hypotenuse is given and it’s 18.
The last side left is clearly shorter than both, meaning none of the sides are equal.
∆TQS is an Isosceles Triangle because 2 angles are equal.
The base angles are both 76°.
∆QNP is a Right Triangle because segment QN and PR are perpendicular, creating two 90° angles on both sides.
For number 10, I suggest using a graphing calculator or desmos to graph the points. (Or you can just add the points but I suggest graphing).
From there, you can count the length of each side.
Segment DE: 9
Segment EF: 8
Segment FD: 10
This makes ∆DEF in number 10 a Scalene Triangle because none of its sides are equal.
For number 11, I also suggest graphing the points and counting the sides.
Segment DE: 7
Segment EF: 9
Segment FD: 7
This makes ∆DEF in number 11 an Isosceles Triangle because 2 of its sides are equal.
Hope this helps! :)
Related Questions
A line passes through the point (-10, – 7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.
Answers
I hope this helps :D
Ask if you have any questions
RECO
Which expression is equivalent to 3x – 1/2y+2 2/3y-5/6x
Answers
Answer:
13 ( x + y ) / 6
Can someone help me with Number 7 i’ll give the brainly thingy
Answers
Answer:
$9.50
Step-by-step explanation:
what is the product of 2(-4)
Answers
Answer:
-8
Step-by-step explanation:
First, write it out in standard form:
2 x (-4)
Then multiply!
Answer:
-8
Step-by-step explanation:
it is basically 2 x -4 and a negative times a positive is a negative which makes it -8
a softball team wants to sell $8,500 worth of tickets for its upcoming season. if each ticket cost $18 how many tickets will the team have to sell to reach their goal?
Answers
Answer:
473 tickets
Step-by-step explanation:
8,500/18=472.2222222 but, since you can’t sell only part of a ticket, you’ll round up to get 473 tickets.
1 1/2 x 3/4 pls full aswer
Answers
Answer:
1.125 or 9/8
Step-by-step explanation:
32 Over 8 = 28 Over x
a. x = 4
c. x = 8
b. x = 28
d. x = 7
Answers
Answer:
d. x = 7
Step-by-step explanation:
32/8 = 28/x
simplify the fraction
4/1 = 28/x
cross multiply:
4x = 28
divide both sides by 4:
x = 7
what is the value of the expression below (4 * 7) - [(10 * 2 ) - 1 ]
Answers
Answer:
9
Step-by-step explanation:
what is 1000000000000x0??????
Answers
Answer:
0
Step-by-step explanation:
Everything multiplied by 0 is 0.
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and z be the dimensions of the aquarium. Enter your answer in terms of V.)
Answers
Answer:
The dimensions of the aquarium that minimize the cost of the materials:
[tex]x=y=\sqrt[3]{\frac{2V}{5}}\\z=\sqrt[3]{\frac{25V}{4}}[/tex]
Step-by-step explanation:
Let x, y and z be the dimensions of aquarium .
Surface area of an aquarium = xy+2yz+2xz
Volume of aquarium V=[tex]Length \times Breadth \times Height=xyz[/tex] ----A
We are given that slate costs five times as much (per unit area) as glass
So, Cost function : C=5xy+2yz+2xz
Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.
[tex]\nabla C =\lambda \nabla V[/tex]
[tex](\frac{\partial C}{\partial x},\frac{\partial C}{\partial y},\frac{\partial C}{\partial z})= \lambda (\frac{\partial V}{\partial x},\frac{\partial V}{\partial y},\frac{\partial V}{\partial z})[/tex]
[tex](5y+2z,5x+2z,2y+2x)=\lambda(yz,xz,xy)[/tex]
So,
[tex]5y+2z=\lambda yz[/tex] ----1
[tex]5x+2z=\lambda xz[/tex] -----2
[tex]2y+2x=\lambda xy[/tex] ----3
Multiply 1 ,2 and 3 by x,y and z respectively.
[tex]5xy+2xz=\lambda xyz[/tex] ----4
[tex]5xy+2yz=\lambda xyz[/tex] -----5
[tex]2yz+2xz=\lambda xyz[/tex] ----6
Now equate 4 and 5
5xy+2xz=5xy+2yz
x=y
Substitute y=x in 5 and 6 and equate them
[tex]5x(x)+2(x)z=2(x)z+2xz\\5x^2=2xz\\5x=2z\\\frac{5}{2}x=z[/tex]
Substitute the values in A
[tex]V = xyz = x \times x \times \frac{5}{2}xV=\frac{5}{2}x^3\\\sqrt[3]{\frac{2}{5}V}=x\\x=y=\sqrt[3]{\frac{2}{5}V}\\z=\frac{5}{2}x=\frac{5}{2}(\sqrt[3]{\frac{2}{5}})=\sqrt[3]{\frac{25V}{4}}[/tex]
Hence,
The dimensions of the aquarium that minimize the cost of the materials:
[tex]x=y=\sqrt[3]{\frac{2V}{5}}\\z=\sqrt[3]{\frac{25V}{4}}[/tex]
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answers
Answer:
512 ounces
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
multiply the volume value by 128
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.
Write an equation that gives the amount of snow that has fallen after x hours at this rate.
Answers
Answer:
y = 2x
Step-by-step explanation:
y-int = 0
slope = 2
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11? Plus-or-minus one-eleventh, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus5 Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11 Plus-or-minus one-eleventh, plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11 0, Plus-or-minus one-eleventh, Plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11
Answers
Answer:
Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11
Step-by-step explanation:
According to the Rational Root Theorem, the potential roots of f(x) = 5x² – 7x + 11 are; Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11.
Rational Root Theorem:The given function is; f(x) = 5x² – 7x + 11
On this note; Using the rational Root Theorem while determining the root; we have;
f(x) = 0 = x² -7/5x + 11/5.
The possible roots are therefore the factors of the constant, 11/5 and are as follows;
±11/5±1±11±1/5.Read more on Rational Root Theorem;
https://brainly.com/question/4251786
Help please.............
Answers
Is 4:5 equivalent to 8:10 as radios?
Answers
As we can see, 4:5 and 8:10 have something in common. 4*2 = 8 and 5*2 = 10. Both 4 and 5 are multiplied by 2 to get 8:10.
Can some please tell me what this is?
Answers
Step-by-step explanation:
This is mean domain is all real numbers
What is-1 5/6 times 6 1/2
Answers
Answer:
-11.9166666667
Step-by-step explanation:
Answer:
-11.9166666667
Step-by-step explanation: I just seached it up
Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet. If Emma’s model has a wingspan of 30 centimeters, what is the length of the model ?
Answers
Answer:
Since it is a to-scale model,
the ratio of the wingspan to the length of both the airplanes must be equal
wingspan1 = 200 ft wingspan2 = 30 cm
length1 = 240 ft length2 = x cm
wingspan1 / length1 = wingspan2/length2
replacing the variables
200 / 240 = 30 / x
x = 30 * 240/200
x = 36 cm
Therefore, the length of Emma's airplane is 36 cm
Answer:
Step-by-step explanation:
What is the quotient of : 4.652/.3
Answers
Answer:
15.51
Step-by-step explanation:
2(x-5)=4x+7
solve for x
Answers
Answer:
x=-6
Step-by-step explanation:
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. assume that an ants constant off proportionality is 18.write the equation to the represent the proportional relationship between d and t using the information given. What does the constant of proportionality represent in this problem?
Answers
The constant is 18
To find distance (d) you would multiply the constant by the time(t).
D = 18t
Distance is speed x time, so the given constant would be the speed of the ant.
Mr. Hernandez found salmon on sale at HEB for $6.99 per pound. How much would it cost if Mr. Hernandez bought 3.2 pounds of salmon? Round your answer to the nearest cents.
Answers
Answer:
$22.37
Step-by-step explanation:
Answer:
$22.37
Step-by-step explanation:
6.99(3.2)
Suppose you want to put sprinkles on cupcakes. You have 2/3 of a bag of sprinkles and you only need 1/9 of the bag per batch how many batches can you cover with sprinkles?
Answers
Answer:
i think 6
Step-by-step explanation:
2/3 divided by 1/9 then , 2 times 9 then. 3 times 9 = 18/3 if you simplifying the answer is 6
Simplify square root -200
Answers
Answer:
10 i sqrt 2
Step-by-step explanation:
i indicates that it is an imaginary number. this is because 200 is negative.
The simplified form of the given square root number is 10i√2. Therefore, the correct answer is option D.
The given square root number is √-200.
The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Here, 200 = 2×2×2×5×5
Thus, √-200=√-2×2×2×5×5
=2×5×i√2
= 10i√2
Therefore, the correct answer is option D.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
#SPJ6
Charles walked on a treadmill 16 3/4 miles over 4 days. How many miles did he walk per day?
Answers
Plz solve for brainlistMarlene runs 4 km in 30 min. At this rate,
can Marlene run 6 km in 45 min?
Complete the following calculation an
d
explanation. Use the Communication
Checklist.
Answers
Answer:
comparing rates.. use the formula d = r * t where d= distance , r = rate or speed and t = time ofc. :)
Step-by-step explanation:
we know the distance and the time but not the rate.. find that r ....
d/t = r 4/30 = r = 0.13333333333 this is in Km per minute, b/c the 4 is Km and the 30 is in minutes. Units are not to important other than keeping track of what they are.
Now we can answer the question can Marlene run 6 Km in 45 mins. b/c we know her rate , or speed, so at her rate of 0.133333333 Km/min and using that d = r * t formula what is her distance in 45 minutes.. so multiply 45 * 0.133333= 6 so she runs exactly 6 Km in 45 minutes.. so the math answer is yes
5. (01.07A MC)
Which number line best shows the position of ? (5 points)
J7
HHHH +
-4 -3
-1 0 1 2
+
4
-2
3
3
7
HHH H
-4 -3 -2 -1 0 1 2 3
+
4
7
HH
-4
-3 -2
-1 0 1 2
3
4
-
OL
7
t. +
3 4 5
-5 -4
-3 -2
-1 0 1 2
Answers
Answer:
if u could include a photo it may help more ..thanks
Find the quotient below. Write the answer as a fraction in the simplest form 7 1/2 divided 5/6
Answers
Answer:
9
Step-by-step explanation:
steps for dividing mixed numbers.
Change every mixed number to an improper fraction.
Multiply the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms (or simpliest form)
Check to be sure the answer makes sense.
PLSSS HELPPPPP ASSAAAPPPP
Answers
Answer:
∡BEN=122
x=17
Step-by-step explanation:
Since you know that when two sides are congruent like this then the to angles are congruent then you know that angle BNE equals 29.
Once you know that since we know that 180 is the sum of all three angles set an equation like this:
180=29+29+(11x-65)
Take off parentheses since you can't simplify in them.
180=29+29+11x-65
Combine like terms.
180=11x-7
Solve for x.
187=11x
x=17
Plug that in to (11x-65) to find angle BEN
angle BEN = 11(17)-65
angle BEN=122
Can someone please help, ty!!
Answers
Answer:
B i think
Step-by-step explanation: