Answer:
96
Step-by-step explanation:
48*2=96
32*3=96
GCF=96
The required greatest common factor for the values 48x² and 32x³ is 96x³.
Given that,
To determine the greatest common factor (GCF) of 48x² and 32x³.
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
Factors of 48x² and 32x³,
= 48x², 32x³ = 2⁵ * 3 * x³
= 96x³
Thus, the required greatest common factor for the values 48x² and 32x³ is 96x³.
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Triangle similarity and congruence! * Pic included
Answer:
Yes, beacuse the ratios of the corresponding sides are equal.
Step-by-step explanation:
12/36 = 0.33
10/30 = 0.33
15/45 = 0.33
(a) All even numbers are divisible by 2.
PLSSSS HELP MEEEEEE LIKE RN PLEASE
Answer:
-3
Step-by-step explanation:
Help due in 15 mins!
Answer:
Step-by-step explanation:
1
BRAINLIEST and HELP!!!! A worker is connecting a cable from the rooftop of a school to a fence pole 7 ft away. The pole is 10 ft high. He uses 25 ft of cable to reach from the rooftop to the fence pole. How tall is the school?
(NOBODY ANSWER IF YOU DONT HAVE IT!!)
Answer:
yee its 34ft..........
Height of the school building is equals to 34ft.
What is height?
" Height is defined as one of the dimension which represents the distance between base and the top."
Formula used
Pythagoras theorem
(Hypotenuse)² = (Opposite side)² + (adjacent side)²
According to the question,
'h+ 10 ' represents the height of the building
As shown in the figure,
In the right triangle
' Hypotenuse' represented by length of the cable = 25ft
Adjacent side = 7ft
'h' is the height of the triangle
Substitute the value in the Pythagoras theorem we get,
[tex](25)^{2} = 7^{2} + h^{2}[/tex]
⇒ [tex]h^{2} = 625 - 49[/tex]
⇒ [tex]h = \sqrt{576}[/tex]
⇒ [tex]h = 24[/tex] ft.
Therefore,
Height of the school building [tex]' h + 10 '= 24 + 10[/tex]
[tex]= 34[/tex] ft.
Hence, height of the school building is equals to 34ft.
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I need some help here -3-.
Ulsa rescued a fish that was 6.85 inches long. Krishna rescued a fish that was 4.83 inches long. How many inches longer was Ulsa's fish?
Answer:
I'm not the best nor I am the worst at these Type of problems but
Step-by-step explanation:
6.85 - 4.83= 2.2
I hope this helps or is right
Select the expressions that are equivalent to 7(x+2).
Answer:
5
Step-by-step explanation:
7-2=x
7-2=5
x=5
.........................
-5x + 12 - 7x = -3(5x + 8)
Answer:
x = -12
Step-by-step explanation:
-5x + 12 - 7x = -3(5x + 8)
-5x + 12 - 7x = -15x - 24
-12x + 12 = -15x - 24
-12x + 15x = -24 - 12
3x = -36
x = -12
can I get help please
Answer:
a + b
Step-by-step explanation:
sum of two opposite interior angles are equal to one exterior
hope it helps
Christine bought lunch 15 times at school this month and spent a total of $49.50. Each of her lunches cost an equal amount
Which equation could Christine use to determine the price of each lunch (p?
15p = 49.50
49.50p = 15
15+p=49.50
49,50 + p = 15
Answer:
The answer is 15p = 49.50
Answer:
The answer is $3.3
Step-by-step explanation: Because 49.50 divided by 15 is 3.3
Which of these numbers is not larger than -2 on a number-line? *
( a) 0
(b) -1
(c) 5
(d) -3
Answer:
d
Step-by-step explanation:
What are the answers to the questions on this page? Show work if possible. (Geometry) 60 points + Brainliest if correct. (Page 3).
Answer:
oh yeah
Step-by-step explanation:
Reflect across the line y=x. Find the coordinates of the reflected points
The average life expectancy of people in the united states in 2018 was 78.54 years with a standard deviation of approximately 15 years
Question:
The average life expectancy of people in the United States in 2018 was 78.54 years with a standard deviation of approximately 15 years.
Suppose we take a sample of 40 individuals in the United States, what are the mean and standard deviation for sample averages from samples of size 40?
Answer:
[tex]\bar x = 78.54[/tex]
[tex]\sigma_x = 2.37[/tex]
Step-by-step explanation:
Given
[tex]\mu = 78.54[/tex] --- Population mean
[tex]\sigma = 15[/tex] --- Population standard deviation
[tex]n = 40[/tex] --- Sample size
Solving (a): The sample mean
According to the central limit theorem, sample mean is always equal to the population mean.
So:
[tex]\bar x = 78.54[/tex]
Solving (b): The sample standard deviation
Using the central limit theorem, we have:
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
So:
[tex]\sigma_x = \frac{15}{\sqrt{40}}[/tex]
[tex]\sigma_x = \frac{15}{6.32}[/tex]
[tex]\sigma_x = 2.37[/tex]
the sum of 6 less than a number and 3
Answer:
2
Step-by-step explanation:
Fully factorise 12r + 16
Answer:
4(3r+4)
Step-by-step explantion:
The factorized form of the given expression is 4(3r+4).
The given expression is 12r+16.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
Factorization of the expression 12r+16 is as follows
Here, in terms 12r=2×2×3×r and 16 =2×2×2×2, we have 4 has common factor
So, 4(3r+4)
Hence, the factorized form of the given expression is 4(3r+4).
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Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.
Answer:
sinθ = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
By applying Pythagoras theorem in the given triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
= (24)² + 7²
Hypotenuse = √625 = 25
By applying sine rule in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Since, measure of opposite side = 24
Measure of hypotenuse = 25
Therefore, sinθ = [tex]\frac{24}{25}[/tex] will be the answer.
simplify 4y (2y-7) and find it's value if y= 1/2
ANSWER FASTT!!!
Step-by-step explanation:
This the solution
the answer is one
Factor out the GCF of 16x3−4x2+24x
In 1979, the price of electricity was $0.05 per kilowatt-hour. The price of electricity has increased at a rate of approximately 2.05% annually. If t is the number of years after 1979, create the equation that can be used to determine how many years it will take for the price per kilowatt-hour to reach $0.10. Fill in the values of A, b, and c for this situation. Do not include dollar signs in the response.
c=A(b)^x
The equation that can be used to determine the number of years it would take for the price to be $0.10 is 0.10 = 0.05(1.0205)^t.
What is the equation that models the increase?
The equation that would be used is an exponential equation. An exponential equation is used because the rate of increase is a compound growth.
Exponential equations usually have this form: FV = PV( 1 + r)^t
Where:
FV = future value PV = present value r = rate of growth t = time0.10 = 0.05(1.0205)^t.
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Help me pls!!!!!!!!!!
Answer:
m<B= 52
Step-by-step explanation:
2x - 30 + 3x + 10 + 7x + 32 = 180
12x + 12 = 180
12x = 168
x = 14
m<B= 3x + 10
3(14) + 10
52
PLEASE HELP
PICTURE ABOVE OR WHATEVER!!!!
WILL MARK BRAINLIEST
I'LL ALSO THINK THAT YOU'RE VERY COOL AND SMART
Which number in the set {6, 12, 18, 36} satisfies the equation 3x - 9 = 27? Explain
Answer:
12
Step-by-step explanation:
3 x 12= 36
36-9= 27
For rhombus ABCD, M
and BD=___
PLEASE HELP ME
Answer:
∠BCE = 53°
BD = 16
Step-by-step explanation:
because it is a rhombus, AB = CB
∠BCE = 53° because ΔABC is isosceles triangle
BD = BE
BD = 16
Expand the expression 9(2t-8)
Answer:
18t-72
Step-by-step explanation:
Find h.
plz answer thank you
Answer:
[tex] \frac{15}{h} = \frac{20}{30} \\ 15 \times 30 = 20 \times h \\ h = \frac{450}{20} \\ h = 22.5[/tex]
A, B & C form a triangle where ∠ BAC = 90°. AB = 6 mm and CA = 7.3 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answer:
BC ≈ 9.5 mm
Step-by-step explanation:
Since, ΔBAC is a right angle triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
BC² = 6² + (7.3)²
BC = [tex]\sqrt{89.29}[/tex]
BC =
BC = 9.445
BC ≈ 9.5 mm
You pay $2.56 for 4 pounds of bananas. How much does one pound of bananas cost??
Answer:
2.56 divided by 4 so $0.64 a pound
Step-by-step explanation:
2.56 divided by 4 = 0.64
what's the circumference of a circle is C centimetres. which expression best represents the value of pie?
Answer:
C=2πr
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?
D
+
4
F
Sus
7
+
3
+
8
+
9
5
-2
1
0
1
2.
3
4
5
6
10
-1
0
2.
3
Answer:
2
Step-by-step explanation:
The location of point G which partitions the directed line segment from D to F into a 5:4 ratio is; x = 3
Division of a Line Segment
The formula for coordinate of a point that divides a line segment in a ration is given by;
x = (mx₂ + nx₁)/(m + n)
We are given the ratio 5:4
Thus m = 5 and n = 4
The endpoints of DF are D(-2) and F(7)
Thus;
x = ((5*7) + 4(-2))/(5 + 4)
x = 27/9
x = 3
Thus, the location of point G which partitions the directed line segment from D to F into a 5:4 ratio is x = 3
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