Answer:
[tex]3\sqrt{1089}=3\sqrt{3^2(11)^2}[/tex]
Step-by-step explanation:
Given : Expression [tex]3\sqrt{1089}[/tex]
To find : Select the expression that is equivalent to expression ?
Solution :
Re-write the expression as,
[tex]3\sqrt{1089}=3\sqrt{3\times 3\times 11\times 11}[/tex]
[tex]3\sqrt{1089}=3\sqrt{3^2\times 11^2}[/tex]
[tex]3\sqrt{1089}=3\sqrt{(3\times 11)^2}[/tex]
[tex]3\sqrt{1089}=3\sqrt{(33)^2}[/tex]
[tex]3\sqrt{1089}=3\times 33[/tex]
[tex]3\sqrt{1089}=99[/tex]
The above are the possible equivalent expressions.
Answer:
A
Step-by-step explanation:
Find the median of the data.
12, 33, 18, 28, 29, 12, 17, 4, 2
The median is
Answer:
The median is 29
Step-by-step explanation:
So you have to cross out 12 then 2 then 33 then 4 then 18 then 17 then 28 then 12 and the last number that's standing is 29.
Richard went to the store to buy some pencils and 2 packs of paper. Perry who went with Richard to the store, spent $30 on a magazine and some candy bars. If the magazine cost $6 and each candy bar cost $3, then how many candy bars did Perry buy?
Answer:
8
Step-by-step explanation:
$30 - $6 for the magazine = $24 ÷ $3 for one candy bar = 8 candy bars
Answer:
8 candy bars
Step-by-step explanation:
6 + 3x = 30
3x = 24
x = 8
20 POINTS! FIRST CORRECT ANSWER WILL MAKE BRAINIEST!!!!!!!!!
Use Vieta's Theorem to solve the problems. The difference of the two solutions of x2+19x+c=0 is 15. Find c.
Answer:
c = 34
Step-by-step explanation:
x = [-19 +/- sqrt(19² - 4(1)(c)]/2
x = [-19 +/- sqrt(361 - 4c)]/2
The difference of the roots would be:
sqrt(361 - 4c) = 15
361 - 4c = 15²
361 - 225 = 4c
4c = 136
c = 34
1) Ramesh is buying a new bike helmet. The price of the helmet is $60 and there is a 5% sales
tax. Ramesh wants to know the total price of the bike helmet including sales tax.
Which box?
Answer:
$63.00
Step-by-step explanation:
$60 * 5% or $60 * 0.05 = $3.00
$60 + $3 = $63.00
Answer:
its the third box
Step-by-step explanation:
i got it right
In the accompanying diagram, AEFB, AD II EC , DF || CB, mDAE = 34 and m DFE = 57. Find
m < ECB.
Answer:
1. Solve small triangle
2. 180-90-57=33
3.solve medium triangle
4. E=33
5.C=90
6.180-90-33=57
7.B=57
8. solve big triangle
9.A=34
10.F=57
11.D=90
The circumference of a circle is 18m. Find its diameter, in meters.
quick answers please
Answer:
5.72957795
Step-by-step explanation:
18/pi
Which equation represents a circle with a center at (2,-8) and a radius of 11?
(x – 8)2 + (y + 2)2 = 11
(x - 2)2 + (y + 8)2 = 121
(x + 2)2 + (y - 3)2 = 11
(X + 8)2 + (y - 2)2 = 121
Answer:
2 Nd one
Step-by-step explanation:
Got it right
Answer:
B. (x – 2)² + (y + 8)² = 121
Step-by-step explanation:
Find the area of the isosceles triangle.
13 cm side
10 cm base
The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
An isosceles triangle is a triangle in which two sides are the same.
The given isosceles triangle has been drawn below,
The area of a triangle is given as (1/2) × base × height.
Height = √(13² - 5²) = 12
Area = (1/2) × 10 × 12 = 60 square cm.
Hence "The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm".
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To find the area of an isosceles triangle with given side lengths, use the Pythagorean theorem to find the height. Then, apply the formula for the area of a triangle using the base and the calculated height. The area of the given isosceles triangle is 60 square centimeters.
To find the area of an isosceles triangle with a base of 10 cm and two equal sides of 13 cm, we first need to determine the height of the triangle. We can use the Pythagorean theorem to find the height (h).
Since the base splits the isosceles triangle into two right triangles, each having a base of 5 cm (half of 10 cm) and a hypotenuse of 13 cm:
Using the Pythagorean theorem:
→ Hypotenuse (hyp) = 13 cm
→ Base/2 (base) = 5 cm
→ Height (h) = ?
→ hyp² = base² + h²
→ 13² = 5² + h²
→ 169 = 25 + h²
→ h² = 169 - 25
→ h² = 144
→ h = √144
→ h = 12 cm
Now that we know the height, we can use the formula for the area of a triangle:
→ Area = 1/2 × base × height
→ Area = 1/2 × 10 cm × 12 cm
→ Area = 5 × 12
→ Area = 60 square centimeters
Find the common difference: 29, 21, 13, 5, ...
Find
Answer:
8
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
subtract diffrences
which graph represents a system of equations with one solution
The graph shows the system of equation has ''No solution.''
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The graph of a system of equation shown in figure.
Now, We have;
The graph of system of equation has two parallel lines.
Hence, The graph shows the system of equation has No solution.
Thus, The graph shows the system of equation has ''No solution.''
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Caleb started with 50 bacteria for his science experiment, and the number of bacteria doubled in one day. Jenna also started with 50 bacteria for her experiment, and after one day the number of bacteria was equal to 50 to the second power. How many bacteria did Caleb and Jenna each have in their experiments?
Answer:
100+50²=2600
Step-by-step explanation:
because 50x2=100 and 50² is 2500. Add those and you get 2600.
The number of bacteria Caleb and Jenna each have in their experiments is 2600.
Given that, Caleb started with 50 bacteria for his science experiment, and the number of bacteria doubled in one day.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
The number of bacteria doubled
= 2×25=50
The number of bacteria was equal to 50 to the second power
= 50²
= 2500
So total = 2500+100=2600
Therefore, the number of bacteria Caleb and Jenna each have in their experiments is 2600.
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A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units. How does the image triangle compare to the pre-image triangle?
The image triangle compare to the pre-image triangle will be similar due to dilation.
Step-by-step explanation:
As given in the question ,the sequence of transformation undergone by a triangle are :-
First, the triangle is dilated by a scale factor of 1/3 about the origin.Secondly, the triangle is reflected over the x-axis the triangle is translated left 3 units and up 2 units.
Due to the process of dilation, the two triangles will be similar. Another important factor is that the scale factor is less than one and is a reduction, thus, the image will be smaller than the pre-image but the triangle will be similar
The transformations mentioned in the above statement altered the position and scale of the triangle, but the angle measures of both the triangle remains the same.
Thus we can say that
The image triangle compare to the pre-image triangle will be similar due to dilation.
Answer:
Sample Response: Because there was a dilation, the two triangles will be similar. The scale factor was less than one, so the image will be smaller than the pre-image.
Step-by-step explanation:
edge ;)
Evaluate each finite series for the specified number of terms...
40+20+10+...; n=10
(Please show work)
Answer:
the sum of the first 10 terms is: 79.921875
Step-by-step explanation:
Notice that this is a geometric series, of the sequence that has "40" as the first term, and the following ones are obtained by multiplying by the common ratio "1/2".
So the common ratio [tex]r=\frac{1}{2}[/tex], and the first term [tex]a_1=40[/tex], then, recalling the formula for the partial sum of n terms of a geometric sequence:
[tex]S_n=\frac{a_1\,(1-r^n)}{1-r}[/tex]
we can find the sum of this sequence's first 10 terms (n=10):
[tex]S_n=\frac{a_1\,(1-r^n)}{1-r} \\S_{10}=\frac{40\,(1-(\frac{1}{2}) ^{10})}{1-\frac{1}{2} } \\S_{10}=79.921875[/tex]
What is true about the transformation that was
performed? Check all that apply
g(x) has an axis of symmetry atx=3
g(x) is shifted down 5 units from the graph of fix).
g(x) is shifted right 3 units from the graph of f(x).
g(x) is shifted up 4 units from the graph of f(x).
g(x) is narrower than fu).
Answer:
the answer is A C and D if you’re using edu.
Step-by-step explanation:
Answer:
A,C,DStep-by-step explanation:
In the circle below, UW is a diameter and UX is tangent at U. Suppose m UV=128
Answer:
Step-by-step explanation:
The value of the angle ∠VUW is 26° and ∠VUX will be 116°.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given the circle
Since ∠UOV is 128°
So,
∠UOW = 180 - ∠UOV
∠UOW = 180 - 128 = 52°
Now,
∠VUW = 1/2 ∠UOW
∠VUW = (1/2)52 = 26°
Now ∠VUX = ∠VUW + 90°
∠VUX = 26 + 90 = 116°
Hence "The value of the angle ∠VUW is 26° and ∠VUX will be 116°".
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If the terminal ray of β lies in the fourth quadrant and sin (β) = -√3/3 determine cos(β) in simplest form.
Answer:
[tex]cos(\beta)=\frac{\sqrt{6}}{3}}[/tex]
Step-by-step explanation:
we know that
If the terminal ray of β lies in the fourth quadrant
then
sin (β) is negative and cos (β) is positive
Remember the trigonometric identity
[tex]sin^2(\beta)+cos^2(\beta)=1[/tex]
we have
[tex]sin(\beta)=-\frac{\sqrt{3}}{3}[/tex]
substitute
[tex](-\frac{\sqrt{3}}{3})^2+cos^2(\beta)=1[/tex]
[tex]\frac{3}{9}+cos^2(\beta)=1[/tex]
[tex]cos^2(\beta)=1-\frac{3}{9}[/tex]
[tex]cos^2(\beta)=\frac{6}{9}[/tex]
apply root square both sides
[tex]cos(\beta)=\frac{\sqrt{6}}{3}}[/tex]
What is the ratio of a:c?
Step-by-step explanation:
The answer is 2 : 3 because the value of a is 2 and c is 3
For the expression 6p^2+4p, if p=2, what would the expression be equal to? (p^2 is the same as p*p)
Answer:
[tex]32[/tex]
Step-by-step explanation:
6p^2+4p, if p=2
[tex]6(2) {}^{2} + 4(2) \\ = 6 \times 4 + 4 \times 2 \\ = 24 + 8 \\ = 32[/tex]
Solve each equation. Be sure to check your solution.
0.3a = 51
Answer:
a = 170
Step-by-step explanation:
0.3a = 51
a = 51 : 0.3
a = 51 : 3/10
a = 51 x 10/3
a = 510/3
a = 170
0.3x170 =
= 3/10x170
= 510/10
= 51
Answer:
a= 170
Step-by-step explanation:
[tex]0.3a = 51 \: [/tex]
[tex]a = \frac{51}{0.3} = 170 \: [/tex]
To verify:
LHS = 0.3 a = 0.3× 170= 51 = RHS
Hey help me out with my homework thank you. STAY SAFE.
Answer:
angle A = 166 degrees
Step-by-step explanation:
so first you have to look at the problem and see what type of relationship the angles have. so if you draw it out yourself, it makes it a little easier and you can see that the two angles are corresponding angles, which means theyre both congruent or, equal.
after you find that out you can set up an equation so,
7x + 40 = 3x + 112
you do the math...
4x + 40 = 112
4x = 72
x = 18
but you cant stop here, you have to plug in x to find teh entire angle A
7 (18) + 40 = ?
126 + 40
166
bam.
A company that makes mirrors sends their slightly flawed products to a discount store. This week, the company sent four mirrors to the discount store. Each mirror is approximately rectangular, with both lengths the same and both widths the same.
Mirror 1
length: 16 inches
width: 18 inches
diagonal: 25 inches
Mirror 2
length: 16 inches
width: 18 inches
diagonal: 26 inches
Mirror 3
length: 16 inches
width: 18 inches
diagonal: 23 feet
Mirror 4
length: 16 inches
width: 18 inches
diagonal: 24 inches
Based on these dimensions, which mirror is the closest to rectangular?
Mirror 1
Mirror 2
Mirror 3
Mirror 4
Answer:
mirror 4
Step-by-step explanation:i just did the quiz and got it right
Answer:D
Step-by-step explanation:
The product of two numbers is 161. The difference between the two is 16. What are the two numbers?
Answer:
23 and 7
Step-by-step explanation:
Multiply 23 and 7 to get 161. Subtract 7 from 23 and get 16
Answer: 23 and 7
Step-by-step explanation: When you multiply 23 x 7, you will get the answer 161.
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
y = 1/3x -3
Step-by-step explanation:
Make a the subject of:
v = u + at
Answer:
[tex]a = \frac{v - u}{t} \: [/tex]
Step-by-step explanation:
[tex]v = u + at[/tex]
[tex]at = v - u[/tex]
[tex]a = \frac{v - u}{t} [/tex]
Which formula is used to calculate the standard deviation of sample data?
s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.
sigma squared = StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction
Sigma = StartRoot StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction EndRoot
x = StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction
Answer:
the first one
Step-by-step explanation:
i just got it right on edge
The standard deviation of sample data is "[tex]s = \sqrt{\frac{(x_1 -\bar{x})^2+ (x_2-\bar{x})^2 + ..... + (x_n -\bar{x})^2}{ n- 1}}[/tex]"
The standard deviation of the sample data:Random variables, samples, statistical populations, information sets, or probabilistic distributions are equal to the square root of its variance.
It's much less resilient in reality than the average absolute deviation, but it makes algebraic expressions easier.
A sampling divided by the size of the data set is less than one, n - 1. To get the standard deviation, take the square root of the variance. The standard deviation is obtained by taking the square root of the standard deviation.
Therefore, the standard deviation of sample data is "[tex]s = \sqrt{\frac{(x_1 -\bar{x})^2+ (x_2-\bar{x})^2 + ..... + (x_n -\bar{x})^2}{ n- 1}}[/tex]"
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George can run 10 laps around the track in 25 minutes. Write an equation to represent the relationship between x laps and y minutes
Question 4 options:
y = x + 5/2
y = 5/2x
y = x + 2/5
y = 2/5X
Answer: The answer is D: y=2/5x
Step-by-step explanation:
Let y represent the number of laps George runs, and x the number of minutes it takes him to run those laps. We know that it it takes George 25 minutes to run 10 laps; therefore, the number of laps George runs per minute is 10/25 which is equal to 2/5.
(Make sure you keep your promise(s) lol.)
Translate the sentence into an equation.
Four times the sum of a number and 2 equals 5.
Use the variable x for the unknown number.
Tom deposits $300 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in the first 6 years?
Answer:
22.90 is the answer i can't write somet
use my computer has problems
I = P*r*t = 800*0.06*2 =
Mr. Thomas cooked 36 hamburgers and hot dogs at a cookout. He cooked twice as many hot dogs as hamburgers. How many hamburgers and hot dogs were cooked?
(Use Substitution)
A. (24 hamburgers, 12 hot dogs)
B. (12 hamburgers, 24 hot dogs)
C. (6 hamburgers, 12 hot dogs)
D. (12 hamburgers, 6 hot dogs)
Answer:
b
Step-by-step explanation:
You would have twice as many hot dogs and 24 is two times 12 and if you add them you get 36.
What is the range of the data below?
60
70
80
90
100
oooo
Help!
Answer:
40
Step-by-step explanation:
100-60=40
Answer:
40
Step-by-step explanation:
Range is the difference between the highest value, and the lowest value