Step-by-step explanation:
a triangle can only be a triangle (all sides connect with each other), if every side is less than the sum of the other 2 sides.
so, the third side must be shorter than 10+11 = 21 and longer than 11-10 = 1, so that the side of 11 cm is shorter than the sum of the other two sides.
Answer:
1 < x < 21
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
11 - 10 < x < 11 + 10
1 < x < 21
Rewrite each of the following terms as an extended product. Consider carefully your order of operations and remember that exponents come before multiplication. You do not need to simplify the products.
#a
[tex]\\ \sf{:}\dashrightarrow 4^3=(2\times 2)^3=2^6[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 3^2.3^3=3^5[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow (2^3)^4=2^{12}[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow x^3y^4\checkmark[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow 8x^2y^5=2^3x^2y^5[/tex]
#f
[tex]\\ \sf{:}\dashrightarrow( 9x^2)^2=(3^2x^2)^2=3^4x^4[/tex]
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answer:
correct answer explained above
What is the slope of this graph?
a.4
b.−4
c.14
d.−14
Answer:
B
Step-by-step explanation:
just look at where the line crosses the coordinate plane
What is the least common denominator of this equation
Answer:
LCD = 30
Step-by-step explanation:
[tex]\frac{5}{6}[/tex] x - [tex]\frac{1}{10}[/tex] x = [tex]\frac{2}{15}[/tex]
Multiply through by 30 ( the LCM of 6, 10, 15 ) to clear the fractions
25x - 3x = 4
22x = 4 ( divide both sides by 22 )
x = [tex]\frac{4}{22}[/tex] = [tex]\frac{2}{11}[/tex]
Answer:
5
Step-by-step explanation:
[tex] \frac{5}{6} x - \frac{1}{10} x = \frac{2}{15} \\ \frac{50x - 6x}{60} = \frac{2}{15} (criss \: cross) \\ \frac{44x}{60} = \frac{2}{15 } \\ \frac{11x}{15} = \frac{2}{15} (simplify) \\ 165x = 30(criss \: cross) \\ x = \frac{30}{165} = \frac{6}{33} = \frac{2}{11} \\ x = \frac{2}{11} [/tex]
For art class, you need to make a scale drawing of the Parthenon using the scale 1 in. = 5 ft. The Parthenon is 228 ft long.
How long should you make the building in your scale drawing?
The building should be (________) inches long. Round to the nearest tenth if necessary.
Answer:
228/5= 45.6 inches, rounded is 46 inches
From a horintal lengh of 101" and a rise of 13 inches over that lengh what is the angle of rise
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 13/101
x = arctan(13/101)
x = 7.334379 approximately
x = 7.33
Help someone I don’t know the answer and I need help!
Answer: I believe the answer is (A) (-4,4) because the only corner that's going up towards the (f) is stopped over the 4's.
I need help with this.
Answer:
check online for more information
Figure A is a scale image of Figure B. What is the value of x?
Answer:
good day of school and➕➕ I have a great day of school and I have a great day☀☀☀ of school and➕➕ I
help help help help meeee
Answer: 36!
Step-by-step explanation:
Answer:
B . 34
Step-by-step explanation:
simply subtract the lowest value from the greatest value, ignoring the others.
Sam needs a bowl to mix her punch. She has 2-cup bowl, and a 6-cup. What is the smallest bowl sam can use to make her punch?
Answer:
the 2 cup bowl
Step-by-step explanation:
it is literally the smallest bowl she can use at her disposal
3. Segment GE is an angle bisector of both
angle HEF and angle FGH. Prove triangle HGE is
congruent to triangle FGE.
F
H
G
ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Recall:
A segment that divides an angle into equal parts is known as an angle bisector.Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles, ∠HEG ≅ ∠GEF.
Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.
Both triangles also share a common side, GE
This implies that: ΔHGE and ΔFGE have:
two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE
a shared side - GE
Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
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i have 45 points...
Charlie has a box with the following letters inside of it. What is the probability that he will draw a "D," put it back, and then draw an "A?" Write your answer as a simplified fraction.
Answer:
3/7 and 2/7.
Step-by-step explanation:
P(e) = No of favourable outcomes/ Total no of possible outcomes.
total outcomes=3+1+1+2=7.
(1) p(D) = 3/7.
(2)p(A)=2/7
An item is regularly priced at $29. It is on sale for 80% off the regular price.
Pre college need help thiss
Answer:
25
-35
5
Step-by-step explanation:
yeah-ya.............. right?
Describe the location from the origin of each point in problem 5
I'll put this as random but you can answer it...
ill give yall 10 points if yall do it!
Answer: 4 gallons = 15 liters, 8 liters = 2 gallons, 12.5 liters = 3 gallons, and 6 gallons = 23 liters.
Answer:
yea no
Step-by-step explanation:
i really don't know sorry tho
write the linear equation in slope intercept form (-2,-4) and (-3,-3)
Answer:
y=7x+18
Step-by-step explanation:
the y intercept is 18 and the slope is 7.
Solve the following equation for d:cd – 8 = f
Answer: Well my friend, there is not enough info to sole the equation..
Step-by-step explanation:
Explain how to find the distance between two integers using the difference.
Answer:
read explanation for answer
Step-by-step explanation: Finding the distance between any two integers is obtained by;
Taking the absolute value of the difference between the two integer values.
For instance :
Point A = - 10
Point B = 5
The distance between the two integer points is :
Difference = Point A - Point B = - 10 - 5 = - 15
Absolute value = |-15| = 15
Therefore, This procedure works for any pair of integer distances.
Answer:Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them.
Step-by-step explanation:
Name a pair of overlapping congruent triangles. (PST and QTU, STR and UTR, or RPU and RQS)
Then state whether they are congruent by SSS, SAS, ASA, AAS, or HL.
Answer:
ΔRUP ≅ ΔRSQ by ASA
Step-by-step explanation:
Angle SRQ is congruent to angle URP by the reflexive property of congruence. The angles at U and S are already marked congruent, as are sides UR and SR. That means we have two angles and the side between them congruent for the two triangles:
ΔRUP ≅ ΔRSQ by ASA
Ms.Gómez ran 3/5 of a mile in 5 minutes. Mr. Hernández ran 3/5 of a mile in 3 minutes. How far did Ms gomez and mr Hernandez each run in 1 minute?
Show work or explain
Answer:
Ms G ran 3/25 mile per minute
Mr H ran 1/5 mile per minute
Step-by-step explanation:
Ms G:
create a proportion from mile/minutes = mile/minutes
let 'm' = amount of miles
3/5÷5 = m÷1
cross-multiply to get:
3/5 = 5m
m = 3/5 × 1/5 = 3/25
Mr H:
3/5÷3 = m÷1
cross-multiply to get:
3/5 = 3m
15m = 3
m = 3/15 or 1/5
JoAnn bought 18 apples for $12.42. What was the price for 1 apple?
Answer: $1.45
Step-by-step explanation:
18/12.42 = $1.45
x² – 2xy + y², x² + 2xy + y², 4x² – xy + y², x² – y²
Answer:
[tex]\left(4x^2-xy+y^2\right)\cdot \left(x+y\right)^2\cdot \left(x-y\right)^2\\[/tex]
Step-by-step explanation:
the difference of 16 and 2 divide by 7
make the equation
Answer:
(16-2)/7
Step-by-step explanation:
16-2=14
14/7=2
Equation: (16-2)/7
The difference of 16 and 2 divide by 7 gives result 2 and required equation is x = (16 - 2) / 7.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given numbers are 16, 2 and 7.
Let the difference of 16 and 2 divide by 7 gives result x,
The equation for the difference of 16 and 2 which is 14, divide by 7.
x = (16 - 2) / 7
The equation x = (16 - 2) / 7 can be simplified as,
The difference between 16 and 2 = 16 - 2 = 14
x = 14 / 7 = 2.
The required equation is x = (16 - 2) / 7 and simplified answer is 2.
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3. The lacrosse team is raising money by selling cheesecakes. The players plan to sell an entire cheesecake for $24.00 each and slices of cheesecake for $3.50 each. If they want to raise at least $700, how many of each could they sell?
Part A: List three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal of raising at least $700.
Part B: Write an inequality to represent the situation.
Part C: Graph the inequality and shade where the solutions are. y X
Part D: What is the difference in the amount of money raised for ordered pairs falling on the line and the ones that fall in the shaded area?
Part E: What do the x- and y-intercepts represent?
To reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.
To determine, if they want to raise at least $ 700, how many of each could they sell, listing three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal, the following calculation must be performed:
C + S = 700 24 x 20 = 480 700 - 480 = 220 / 3.5 = 62.85 24 x 10 = 240 700 - 240 = 460 / 3.5 = 131.42 24 x 15 = 360 700 - 360 = 340 / 3.5 = 97.14Therefore, to reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.
Learn more about maths in https://brainly.com/question/25903420
Please help me answer this
Answer:
1) 1:2 2) 3
3) 1:8 4) 2:7
5) 1:4 6) 3:7
7) 2:5 8) 3:11
9) 2:7 10) 4:7
11) 8:9 12) 7:11
13) 1:2 14) 3
15) 26:27 16) 1:40
17) 1:10 18) 1:100
19) 1000 20) 10
Step-by-step explanation:
Ray had $50. he bought two shirts that cost $19 each. how much money did Ray have after buying the shirts? Alex's answer to the word problem is $29. Is Alex's answer reasonable? explain.
Answer: No, it's not
Step-by-step explanation:
19*2=38
50-38 = 12
Alex awnsered 29 which is $17.00 off.
Suppose the regression line for the number of runs scored in a season, y , is given by ˆy=−790+5400x , where x is the team's batting average. For a team with a batting average of 0.235, find the expected number of runs scored in a season. Round your answer to the nearest whole number. If we can expect the number of runs scored in a season is 400, then what is the assumed team's batting average? Round your answer to three decimal places.
Answer:
479 = expected runs
0.220 = assumed batting average
Step-by-step explanation:
ˆy=−790+5400x
For an x value of 0.235, we have to calculate ˆy, or the predicted value. Plugging 0.235 in for x, we get
-790 + 5400 * 0.235 = 479
If ˆy = 400, we have to calculate x. Plug 400 in for y in our equation to get
400 = -790 + 5400x
add 790 to both sides to isolate the x and its coefficient
1190 = 5400x
divide both sides by 5400 to solve for x
x= 0.220
who ever gives to correct answer I will mark the brainiest
Answer:
the answer is B
Step-by-step explanation:
on the Cartesian plane u have to think of the distance from both the positive and negative side
so 3 is 3 units from the origin and -6 is 6 units from the origin
Therefore the total length is 9 (3+6)
And B is the only answer which will give 9