Answer:
11 if you mean x^2
Step-by-step explanation:
Since we are solving for x, we need to just get x by its self. The only thing we have to do is get rid of the exponent of (^2). to do this, we have to take teh square root of both sides:
The square root of x^2 is x
The square root of 121 is 11
So the asnwer is x = 11
Step-by-step explanation: A common mistake in this problem would be to say that if x² = 121, x must equal 11.
However, you must set the equation equal to 0 first.
So our first step is to subtract 121 from both sides to get x² - 121 = 0.
Next, factor the left side to get (x + 11)(x - 11) = 0
So either x + 11 = 0 or x - 11 = 0.
Solving each equation from here, we find that x = -11 or x = 11.
So our answer is not just 11, it's {11, -11}.
A to the power of 6 = a to he power 2
Answer:
a = 0, i, -i, 1, -1
Step-by-step explanation:
What we're basically looking for here is a number, that when multiplied by itself any amount of times, will get us with the same number.
We know that 0 times and number will be 0, so 0 works.
1 times any number will be 1, and -1 would also work as -1² = 1.
i would also work as it represents the square root of a negative, and -i would also work.
Hope this helped!
prove the following
Answer:
Step-by-step explanation:
sin(180°-∅)=sin∅ as its in the 2nd quadrant
then tan(180°-∅)= -tan∅ as its in the 2nd quadrant and there only sin and cosec is positive and at last cos(180°-∅) = -cos∅ for the same reason
so by putting the values:
sin∅/sin∅ + -tan∅/tan∅ + -cos∅/cos∅ =1-1-1= -1
thanks ..
is the sum of any two numbers is greater than the larger of the two numbers?
Answer: Yes the sum of any two numbers is greater than the larger of the two numbers.
Step-by-step explanation:
Yes the sum of any two numbers is greater than the larger of the two numbers.
Let us assume that the two numbers are a and b and ab is the number.
a + b > a
b > a – a
b > 0
This therefore implies that b > 0.
This may however not be true when the value of b is zero(0) or a negative number.
Please answer this question now
Answer:
48°
Step-by-step explanation:
arc BC = 136(2) -145 = 127
arc DC = 83(2) - 127 = 39
arc AD = 360 - 145- 127 - 39 = 48
Answer:
49 degrees
Step-by-step explanation:
Measure of arc ABC = 116*2 = 232 degrees.
Measure of arc BC = 232-145 = 87 degrees.
Measure of arc BCD = 83*2 = 166 degrees.
Measure of arc DC = 166-87 = 79 degrees.
Measure of arc AD = 360 - (145+87+79) = 360 - 311 = 49 degrees
The distance of planet Mercury from the Sun is approximately 5.8. 107 kilometers, and the distance of planet Venus from the Sun is 1.1. 10 kilometers. About how many more kilometers is the
distance of Venus from the Sun than the distance of Mercury from the Sun?
Answer:
I would say about 5 times but I am not sure so if it is wrong am sorry.
need help will give you a good rating
Explanation : As you can see, [tex]\sqrt{-16}[/tex] is not a real number, and hence should be expressed as 4[tex]i[/tex], [tex]i[/tex] being an imaginary number. Respectively [tex]\sqrt{-64}[/tex] will be 8[tex]i[/tex]. Therefore this expression boils down to [tex]\left(3+4i\right)\left(6-8i\right)[/tex]. All we have to do from now on is expand this expression.
Apply the rule [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex], in this case where [tex]a=3,\:b=4,\:c=6,\:d=-8[/tex],
[tex]\left(3\cdot \:6-4\left(-8\right)\right)+\left(3\left(-8\right)+4\cdot \:6\right)i[/tex]
Let's simplify each part, [tex]3\cdot \:6-4\left(-8\right)[/tex] and [tex]3\left(-8\right)+4\cdot \:6[/tex]. Afterwards we can add [tex]i[/tex], and refine.
[tex]3\cdot \:6-4\left(-8\right) = 50[/tex] ; [tex]3\left(-8\right)+4\cdot \:6 = 0[/tex]
Therefore our simplified expression will be [tex]50+0i[/tex], otherwise known as just 50. That is our solution.
Answer:
Step-by-step explanation:
Jack is 10 years old.
Kylie is 17 years old.
Vanessa is 23 years old.
Kylie and Vanessa share £16 in the ratio of their ages.
Kylie gives 20% of her share to Jack.
Vanessa gives a quarter of her share to Jack.
How much money does Jack receive?
plz answer me step by step plzz plz
Answer:
3.66
Step-by-step explanation:
calculate their shares and then add the amount they gave to Jack
the product of a number and five is eight
Answer:
Assuming x is the number, then [tex]x=1.6[/tex]
Step-by-step explanation:
If the product of a number and 5 is 8, the equation becomes:
[tex]5x=8[/tex] (assuming x is the unknown number).
We can isolate the variable x by dividing both sides by 5.
[tex]5x\div5 = 8\div5\\x = 1.6[/tex]
Hope this helped!
Porfavor resolv erme esas preguntas o una :v porfis .El salón de mi clase de matemáticas mide 700 m2, cuánto mide 1/4 del salón? Cuánto mide 3/4 del salón? . Cuántos minutos son 3/5 de media hora? . Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared, cuánta pintura necesitaremos? . Si se necesitan 2/5 de naranja para hacer un vaso de jugo de naranja, cuántas naranjas necesitas para hacer 2 vasos y medio?
Answer:
Explained below.
Step-by-step explanation:
The question is:
Please answer me these questions or one: v please. My math class room is 700 m2, how much is 1/4 of the room? How long is 3/4 of the room? . How many minutes is 3/5 of a half hour? . It takes 4/7 of a liter of paint to paint a square meter of wall, if we want to paint 2/5 of a square meter of wall, how much paint will we need? . If it takes 2/5 of an orange to make a glass of orange juice, how many oranges do you need to make 2 and a half glasses?
(1)
Compute 1/4th of the math class room as follows:
[tex]=700\times\frac{1}{4}\\=175[/tex]
Thus, 1/4th of the math class room is 175 m².
(2)
Compute 3/4th of the math class room as follows:
[tex]=700\times\frac{3}{4}\\=525[/tex]
Thus, 3/4th of the math class room is 525 m².
(3)
Compute 3/5th of half an hour as follows:
[tex]=30\times \frac{3}[5}\\=18[/tex]
Thus, 3/5th of half an hour is 18 minutes.
(4)
A square meter of wall required 4/7 liter of paint.
Then 2/5 of a square meter will require,
[tex]=\frac{4}{7}\times \frac{2}{5}\\\\=\frac{8}{35}[/tex]
Thus, 8/35 liter of paint will be used to pain /5 of a square meter of the wall.
(5)
1 glass of orange juice can be made using 2/5 of an orange.
Then 2 and half glass will require,
[tex]=\frac{2}{5}\times 2\frac{1}{2}\\\\=\frac{2}{5}\times \frac{5}{2}\\\\=1[/tex]
Thus, 1 orange will be required to make 2 and half glass of orange juice.
A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?
Answer:
1/2 a minute (30 seconds)
Step-by-step explanation:
475/50=9.5
450/50=9
9-9.5=.5
While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top of the lighthouse is 48°
What can you conclude about the height of the lighthouse, with respect to Jacob's distance from the lighthouse? Explain your answer.
Answer:
The height of the lighthouse is approximately 166.6 feet.
Step-by-step explanation:
Let the height of the lighthouse be represented by s, then;
Tan 48° = (opposite) ÷ (adjacent)
Tan 48° = s ÷ 150
⇒ s = 150 × Tan 48°
= 150 × 1.1106
= 166.59
s ≅ 166.6 feet
Therefore, the height of the lighthouse is approximately 166.6 feet.
Answer:
The height of the lighthouse is approximately 42.
Step-by-step explanation:
This situation forms a right triangle so the angles would be 90 and 48
90+48+x=180
138+x=180
x=180-138
x=42
The graph of y=√x is translated 5 units to the left and 7 units up. What is the equation of the graph that results from this translation?
Answer:
y = [tex]\sqrt{x+5}[/tex] + 7
Step-by-step explanation:
Given the graph of f(x) then f(x + k) is a horizontal translation of f(x)
• If k > 0 then a shift to the left of k units
• If k < 0 then a shift to the right of k units
Thus a translation of 5 units to the left
y = [tex]\sqrt{x+5}[/tex]
Given the graph of f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Thus
y = [tex]\sqrt{x+5}[/tex] + 7 ← translated equation
A room in the shape of a cube has a floor area of 20.25 square metre what is its height ? what is its volume ?
Answer:
Height= 4.5 Volume= 91.125
Step-by-step explanation:
Which equation does the graph of the systems of equations solve? 2 linear graphs. They intersect at 1,4
Answer:
See below.
Step-by-step explanation:
There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.
Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives the number of servings of each beverage sold in a day.
Answer:
[tex]C. \left[\begin{array}{c}370\\228.5\\332\end{array}\right][/tex]
Step-by-step explanation:
Given the table of values for number of servings:
[tex]\begin{center}\begin{tabular}{ c c c c} & Small & Medium & Large\\ Cappuccino & 70 & 55 & 62 \\ Mocha & 42 & 34 & 39 \\ Latte & 59 & 63 & 47 \\ \end{tabular}\end{center}[/tex]
Cost of each coffee for a particular serving is same.
Cost of small serving = $1.50
Cost of medium serving = $2
Cost of large serving = $2.50
To find:
Matrix of revenue generated from sales of each coffee.
Solution:
Revenue generated by a particular coffee = Sum of (cost of each serving multiplied by number of particular servings)
So, revenue by Cappuccino = [tex]70 \times 1.5 +55 \times 2 + 62 \times 2.5 = \bold{\$370}[/tex]
So, revenue by Mocha = [tex]42\times 1.5 +34 \times 2 + 39 \times 2.5 = \bold{\$228.5}[/tex]
So, revenue by Latte = [tex]59\times 1.5 +63\times 2 + 47 \times 2.5 = \bold{\$332}[/tex]
So, the correct answer is:
[tex]C. \left[\begin{array}{c}370\\228.5\\332\end{array}\right][/tex]
After Marshall's alarm went off, he spent 3/4 hr getting ready for school. He walked 1/6 hr to the bus stop, waited 1/12 hr, rode1/4 hr, and arrived at school at 8:30 A.M..What time did his alarm go off?
Answer:
7:15 am
Step-by-step explanation:
1. Add the times together by finding a common denominator
3/4 = 9/12
1/6 = 2/12
1/12 = 1/12
1/4 = 3/12
9/12 + 2/12 + 1/12 + 3/12 = 15/12
It took him 15/12 of an hour in total.
2. Convert to hours
15/12 = 1 3/12
3/12 = 1/4
1/4 of an hour is 15 minutes.
I took him a total of 1 hour and 15 minutes.
3. Subtract 1 hour and 15 minutes from 8:30
8:30 - 1:15 = 7:15
You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in the drawing.b. A sofa in the room has a length of 6 feet.Find the length of the sofa in thedrawing.c. You want to enlarge the scale drawing.How would you change the scale todouble the dimensions of the drawing?Explain.
Answer:
a. 3.5 inches by 4.5 inches
b. 1.5 inches
c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2
Step-by-step explanation:
A scale is a representative fraction showing the relationship between length on a drawing and actual length.
i.e scale = [tex]\frac{length on a drawing}{actual length}[/tex]
scale = 1 inch : 4 feet
a. The dimensions in the drawing can be determined as;
1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.
[tex]\frac{14}{4}[/tex] = 3.5 inches
[tex]\frac{18}{4}[/tex] = 4.5 inches
Dimensions on drawing is 3.5 inches by 4.5 inches.
b. The length of the sofa is 6 feet, its length on the drawing is;
[tex]\frac{6}{4}[/tex] = 1.5 inches
c. To enlarge the scale so as to double the dimensions of the drawing, we have;
12 inches = 1 feet
4 feet = 4 × 12 = 48 inches
given scale = 1 inch : 48 inches
Thus, divide 48 inches by 2 and multiply 1 inch by 12.
scale = 12 inch : 24 inch
scale = 1 : 2
To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.
A weather balloon holds 2,600 cubic meters of helium. The density of helium is 0.1755 kilograms per cubic meter. How many kilograms of helium does the balloon contain?
Answer:
The balloon contains 456.3 kg of helium
Step-by-step explanation:
Density=mass / volume
Volume=2600 cubic meters of helium
Density=0.1755 kilograms per cubic meters
Mass=x
Find mass, x
Density=mass / volume
Mass=Density × volume
=0.1755 * 2600
=456.3 kg
The balloon contains 456.3 kg of helium
Find the distance across the lake. Assume the triangles are similar.
85 m
X
у
20 m
60 m
Answer:
B. 255 m
Step-by-step explanation:
use similar triangle
L / 60 = 85 / 20
L = (85 * 60) / 20
L = 255 m
The distance across the lake will be 255 meters. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
In an isosceles triangle, two angles and their opposite sides are equal.
The dimensions of the first triangle are L, 85, and y. And the dimensions of the second triangle are 60, 20, and x.
It is given that the triangles are similar.
Then the ratio of their corresponding sides will be
L / 60 = 85 / 20 = x / y
From first two terms, then the equation will be
L / 60 = 85 / 20
L / 60 = 4.25
L = 4.25 x 60
L = 255 m
The distance across the lake will be 255 meters.
Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about
triangles.
9 in
9 in.
Xin
6 in
Answer:
8.5
Step-by-step explanation:
Applying pythagora's theorem,
hypotenuse^2 = opposite^2 + adjacent^2
but, hypotenuse = 9
opposite = X
adjacent = 1/2(base of triangle)= 1/2(6)
adjacent = 3
9^2 = X^2 + 3^2
X^2 = 81 - 9
X^2 = 72
X = 8.5
Question 3 Multiple Choice Worth 2 points)
04.04
The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win today for the team to have a 75%
Success rate?
8
10
12
15
Answer:
Total number of matches need to win = 15
Step-by-step explanation:
Given:
Total number of race completed = 45
Total races win = 30
Success rate = 75% = 0.75
Find:
Total number of matches need to win
Computation:
Assume, extra number of matches = y
Extra number of win matches = x
So,
(30 + x) / (45 + y) = 0.75
Assume y = x
So,
(30 + x) / (45 + x) = 0.75
30 + x = 33.75 + 0.75 x
x = 15
Total number of matches need to win = 15
To get from home to work, Felix can either take a bike path through the rectangular park or ride his bike along two sides of the park. How much farther would Felix travel by riding along two sides of the park than he would by taking the path through the park?
Answer:
c=5.9/6(G)
Step-by-step explanation:
first find the 2 distances.
a^2+b^2=c^2 c=2.4+.7
7^2+2.4^2=c^2 c=3.1
.49+5.85=c^2
c^2=6.34
c=√6.34
c=2.51.
next subtract the two distances to find the difference.
c=2.51-3.1
c=.59
so the distance would be .59 which can be rounded up to .60/G
explanation on how I knew the answer.
Im reviewing for the math 8th grade staar.
what is 3/8 as a proportional ratio fraction
The sum of two numbers is negative thirty. One number is five times the other
Answer:
-25, -5
Step-by-step explanation:
Let's write a system of equations. Lets call x and y the numbers, where x is 5 times y.
x + y = -30
x = 5y
Plugging this in, we get:
5y + y = -30
y = -5
Since y = -5, we can plug this in, and see that x = -25.
Answer:
-5 & -25
Step-by-step explanation:
1st number=x
2nd number=5x
x+5x=-30
6x=-30
x=-5
5x=-25
So the numbers are -5 & -25
waht is the gcf of 4x^5 + 7x^3
Answer:
Step-by-step explanation:
4x^5 + 7x^3
x^3(4x^2 + 7)
The GCF is x^3
3.3. (08.01 LC) Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi. (4 points) . 4. (08.01 MC) Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? (4 points)
Answer:
1. C = 10π, A = 25π
2. 9 cm³
Step-by-step explanation:
Formula for circumference = πd
Formula for area of a circle = πr²
1. Set up the equation for circumference
10π
2. Set up the equation for area (radius = 1/2diameter) and solve
π(5²) = 25π
Formula for volume of a square pyramid = 1/3s² · h
The volume of a square pyramid is equal to 1/3 of the volume of a cube. The formula for a volume of a cube is s³ which is equal to s² · h because a cube has the same side length for all sides. Therefore, the volume of a square pyramid that perfectly fits within a given cube would equal 1/3 the volume of the cube.
1. Set up the equation and solve
27 ÷ 3 = 9
Answer:
3. The fourth: C= 10π, A = 25π 4. The third: 9 cm³Step-by-step explanation:
3.
diameter is equal two radiuses
D = 10 = 2R ⇒ R = 5
circumference: C = 2πR = 2R•π = 10π
area: A = πR² = π•5² = 25π
4.
If square pyramid fit perfectly inside cube then its base is the same as a face of cube, and the height (H) of pyramid is equal to the edge (S) of its base.
[tex]A_p=\frac13S^2\cdot H =\frac13S^2\cdot S=\frac13S^3=\frac13A_c=\frac13\cdot27\,cm^3=9\,cm^3[/tex]
Can you please Solve for x
x - 3 = 27
add three to both sides
then x= 30
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Hi my lil bunny!
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Let's solve your equation step-by-step.
[tex]x-3=27[/tex]
Step 1: Add 3 to both sides.
[tex]x -3 + 3 = 27 +3[/tex]
[tex]x = 30[/tex]
So the answer is : [tex]x = 30[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Combine the radicals. 3√5-8√5+2√5
Answer: [tex]-3\sqrt{5}[/tex]
-3 times the square root of 5
=============================================
Explanation:
Let [tex]x = \sqrt{5}[/tex]
Replace all the root 5 terms with x and we go from
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5}[/tex]
to
[tex]3x-8x+2x[/tex]
From here, combine like terms to get
[tex]3x-8x+2x = -5x+2x = -3x[/tex]
and the last thing to do is replace the x with sqrt(5)
[tex]-3x = -3\sqrt{5}[/tex]
Meaning that,
[tex]3x-8x+2x = -3x[/tex]
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}[/tex]
Please help! Urgent! Will mark Brainliest!
Answer:
[tex]x = 15[/tex]
Step-by-step explanation:
Since lines f and g are parallel, that means that the top angles will be the same, while the bottom angles will also be the same.
The angles of any quadrilaterals all add up to 360°, so we can create the equation like this:
[tex]3x + 3x + (6x + 45) + (6x+45) = 360[/tex]
Combine like terms so we can get a simpler equation:
[tex]6x + 12x + 90 = 360\\18x + 90 = 360[/tex]
Now let's solve for x!
[tex]18x + 90 - 90 = 360 - 90\\18x = 270\\18x\div18 = 270\div18\\x = 15[/tex]
So [tex]x = 15[/tex].
Hope this helped!
Answer:
15
Step-by-step explanation:
3x + 6x + 45 = 180
9x = 135
x = 15
Please helpppp anyone fast
Answer:
2, 3, 4
Step-by-step explanation:
Since the question is asking which of the following are functions, lets define what it is first
Function: An equation for one answer for y for every x
This means that every x coordinate can have a y, but multiple x coordinates can have the same y coordinate
Because of this it has to be every one of them except the first one
