Answer: A three-dimensional figure has a length, a width, and a height. A net is a two-dimensional pattern of a three-dimensional figure, that can be folded to form the figure. Identify the net that we could fold in order to create this 3D figure. Match the 3D figure to the right with its appropriate net, below.
3. Jane and Brittany have been saving up for their summer vacation. After how many days will
they have the same amount of money saves?
Triangle PQR with area 32cm square and base QR is an enlargement of Triangle ABC with area 8 cm square and base BC=3cm , what is the length of QR in cm?
a) 6
b) 8
c) 10
d) 12
Answer:
6 cm (Option A)
Step-by-step explanation:
GIVEN :-
ΔPQR whose area is 32 cm² & has base QR.ΔABC whose area is 8 cm² & has base BC = 3 cmΔPQR is an enlarged figure of ΔABC.TO FIND :-
Length of QRFACTS TO KNOW BEFORE SOLVING :-
Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.
[tex]=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2[/tex]
SOLUTION :-
In the question it's given that ΔPQR is an enlarged figure of ΔABC.
⇒ ΔPQR is similar to ΔABC.
[tex]=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2[/tex]
[tex]=>\frac{32}{8} = (\frac{QR}{3})^2[/tex]
Root squaring both the sides ,
[tex]=> \sqrt{(\frac{QR}{3})^2} = \sqrt{\frac{32}{8} }[/tex]
[tex]=> \frac{QR}{3} = \sqrt{4} =2[/tex]
Multiplying both the sides by 3 ,
[tex]=> \frac{QR}{3} \times 3 = 2 \times 3[/tex]
[tex]=> QR = 6 \:cm[/tex]
How many terms are there in this expression? 3a + b - 4c
——-
3
6
5
There's 3 terms
3a-----1
+b -----2
-4c------3
PLEASE HELPPPPPPPPP MEEE!
Let's calculate
4/15×285 + 3/20×320 = 124
124 students are participating in these exercises.
7 students is participating
Find the slope of the line to the right.
9514 1404 393
Answer:
-3/2
Step-by-step explanation:
Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...
slope = rise/run = (change in y)/(change in x)
slope = -3/2
Find the volume of the trapezoidal prism following.
Answer:
60 cm³
Step-by-step explanation:
Applying,
Volume (V) = Area of the base(A)×Height(h)
V = Ah................ Equation 1
From the diagram,
A = Area of Trapezium
A = 1/2(a+b)c............. Equation 2
Substitute equation 2 into equation 1
V = [1/2(a+b)c]h........... Equation 3
Given: a = 3 cm, b = 7 cm, c = 3 cm, h = 4 cm
Substitute these values into equation 3
V = [3(3+7)/2]4
V = (3×10/2)4
V = (3×5)4
V = 15×4
V = 60 cm³
Any Answers and explanation to this?
Answer:
give a thanks first and then ill tell you
Step-by-step explanation:
Answer:
Maybe it's D) or c) if not i'm du.mb and sorry
Step-by-step explanation:
What is the miss angle in F?
Answer:
45
Step-by-step explanation:
The two angles add to 90 degrees since they are a right angle
F + 45 = 90
F = 90-45
F = 45
A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value
Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
The sample mean and standard deviation :
Sample mean, xbar = (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s = 1.40 ( calculator)
Hypothesis :
H0 : μ = 2.4
H0 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11
Pvalue(1.071, 11) two - tailed
= 0.3069
= 0.307
is 0.45 greater than 0.5
Answer:
0.5
hope this helps
have a good day :)
Step-by-step explanation:
PLS HELP WITH THIS IN YHE RIGGHT ORDER I MARK YOU BRAINLIEST
Suppose that you have the option to buy an itern with either cash or credit?Under which condition would you use credit?
A if you don't want to pay interest
B if you want to build a good credit history
C if you like carrying a lot of cash on you
Answer:
Step-by-step explanation:
B. You build credit by using credit cards so b is the answer.
please do both of them THANK YOU
Answer:
4(3+x)
4x+12
Step-by-step explanation:
Hi there! I am Mizuki, and I'm just answering lol
Anyways, the answer for the first problem is 12 + 4x = 44
The answer for the second problem is 8
Work:
12 + 4x = 44
4x = 32
x = 8
Can you find the midpoint of AB
solve the equation
f(n)=10⋅2n for n = -2
Answer:
f(n)= -40.
Step-by-step explanation:
It’s simple math I’m just confused
Answer:
26 units
Step-by-step explanation:
make a proportion: so sides correspond alongside eachother.
so, 15/10 =24/Y, i know you need to solve for x, but you have to find the other blank length.
now cross multiply, 10*24=15*Y
240=15Y
240/15=
Y= 16
now add Y to the length 10 to get X. So you get 10+16=26
What percentage of $250 is $75?
To calculate the percentage,
75/250×100 = 30%
Answer:
30%
Step-by-step explanation:
75/250=0.3
0.3= 3/10
3/10=30%
Find the radian measure of 120 degrees.
Answer:
The radian :
[tex] \frac{2\pi}{3} [/tex]
A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.
Answer:
Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.
Step-by-step explanation: read above and trust
does anyone know the answer to this i need help really bad!!!
Step-by-step explanation:
1/20.5 is yr ansstay safe healthy and happy...The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answer:
461.6 ft³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(7²)(9)
= 49·3π
= 147(3.14)
= 461.6 ft³
Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and d are integers.
1. x2 - 6x + 8 = (ax + b)(cx + d)
2.3x3 - 6x2 - 24x = 3x(ax + b)(cx + d)
3. 2x2 - 2x - 24 = (ax + b)(cx + d)
Fill in the table with the missing values of a, b, c, and d.
9514 1404 393
Answer:
(a, b, c, d) = (1, -4, 1, -2)(a, b, c, d) = (1, -4, 1, 2)(a, b, c, d) = (1, -4, 2, 6)Step-by-step explanation:
Once you remove the common factor from the terms, you are looking for factors of the remaining constant term that have a sum equal to the coefficient of the linear term. These factors are the constants in the binomial factors.
__
1. 8 = (-4)(-2) ⇒ x^2 -6x +8 = (x -4)(x -2)
(a, b, c, d) = (1, -4, 1, -2)
__
2. -8 = (-4)(+2) ⇒ 3x^3 -6x^2 -24x = 3x(x -4)(x +2)
(a, b, c, d) = (1, -4, 1, 2)
__
3. -12 = (-4)(3) ⇒ 2x^2 -2x -24 = 2(x -4)(x +3) = (x -4)(2x +6)
(a, b, c, d) = (1, -4, 2, 6) or (2, -8, 1, 3)
Rob has 6 quarts of apple cider for the fall fair. He pours the cider into glasses to set on picnic tables. He pours 6 ounces of cider into each glass. How many glasses of cider does Rob set on the tables? Show your work.
Answer:
6 x 32 = 192 divided by 6 = 34
Step-by-step explanation:
If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the
new function?
• Shift 1 unit left
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
O A. g(x) = -3(x + 1)2
B. g(x) = -3x2 - 1
C. g(x) = (-3x + 1)2
D. 9(x) = -3(x - 1)
Answer:
C. g(x) + (-3x + 1)2
Step-by-step explanation:
did the test for it
4x-3+2x-7+5x-1=58
What is x?
Answer:
69/11
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−3+2x−7+5x−1=58
4x+−3+2x+−7+5x+−1=58
(4x+2x+5x)+(−3+−7+−1)=58(Combine Like Terms)
11x+−11=58
11x−11=58
Step 2: Add 11 to both sides.
11x−11+11=58+11
11x=69
Step 3: Divide both sides by 11.
11x /11 = 69/11
Answer:
x = 69/11
Step-by-step explanation:
4x - 3 + 2x - 7 + 5x - 1 = 58 collect like terms ↓
11x - 3 - 7 - 1 = 58
11x - 11 = 58 move the constant to the right-hand side and change its sign ↓
11x = 58 + 11 add the numbers ↓
11x = 69 then divide both sides of the equation by 11 ↓
x = 69/11 ;)
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
Find the next term of the sequence 2, 8, 32, ...
the next term of sequence is 128
Simplify each expression using Order of Operations.
a. 2(3 + 4) + 3 to the 3rd power
b. 5 + (3 to the 2nd power - 2 to the 2nd power)
Answer:
a) 4,913
b) 10
Step-by-step explanation:
a) [2(3 + 4) + 3]³
= [2(7) + 3]³
= (14 + 3)³
= 17³
= 4913
b) 5 + (3² - 2²)
= 5 + (9 - 4)
= 5 + 5
= 10
24% of what is 25? Round to the nearest tenth.
Twice a number is 14. What is the number
Answer:
7
Step-by-step explanation:
Divide 14 by 2