Answer:
x = 11
Step-by-step explanation:
[tex]x^{2}[/tex] = 121
This means that 'x' × 'x' = 121
To know the value of x, we need to find the root of 121.
[tex]\sqrt{121}[/tex] = 11
If u mutiply 11 x 11 , you get 121.
Thus, x = 11
Answer:
x = 11, -11
use the formula: [tex]\sf a^2 = b[/tex] ➳ [tex]\sf a = \sqrt{b}, \ a = -\sqrt{b}[/tex]
[tex]\hookrightarrow \sf x^2=121[/tex]
changing the sides, changes square ( ² ) to square root ( ±√ )
[tex]\hookrightarrow \sf x=\pm \sqrt{121}[/tex]
[tex]\hookrightarrow \sf x=\sqrt{121},\:x=-\sqrt{121}[/tex]
[tex]\hookrightarrow \sf x=11,\:x=-11[/tex]
Write your answer as an ordered pair (x,y)
See both lines are parallel
Means
Slopes are equal .If slopes are equal then x and y coefficients are equal.
So No solutions
The population of Florida has increased, on average, at a rate of 8% per year since 1953. In 1993, the population of Florida was 13 million.
What was the population in 1953?
Answer: The human population in 1953 was 598 people.
A construction company makes cement stairs from a wooden mold. The construction company must calculate the volume of the mold to determine how much cement they need to create the stairs.
What is the volume of the wooden mold?
A.
7,000 in3
C.
6,000 in3
D.
9,000 in3
Considering the volume of a rectangular prism, it is found that the volume of the wooden mold is given by:
C. 6,000 in³
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, the wooden mold is composed by two rectangular prisms:
The first has dimensions of 25 in, 10 in and 12 in.The second has dimensions of 20 in, 12 in and 12 in.Hence the volume in cubic inches is given by:
[tex]V = 25(10)(12) + 20(12)(12) = 5880[/tex]
Rounding, it is closest to 6000 in³, hence option C is correct.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
"Ready
Vicki sketches a right triangle with legs of lengths x and y and a hypotenuse of length z. She writes an equation that
relates x, y, and z. Then, she writes an expression for the length of the hypotenuse. Which expression does she write?
x² + y²
C
x? + 22
/xty
Answer:
sqrt(x^2+y^2)
Step-by-step explanation:
x^2+y^2=z^2 (Pythagorean theorem)
sqrt(x^2+y^2)=sqrt(z^2)
sqrt(x^2+y^2)=z
what is 16 to the 16th power + 92 cubed?
Answer:
348
Step-by-step explanation:
16*16=256
256+92=348
find the value of x
Answer:
x = 3
Step-by-step explanation:
When chords intersect inside a circle, the product of the lengths of the two segments of one chord equals the same product of the other chord.
10x = 5 × 6
10x = 30
x = 30/10
x = 3
Using the Pythagorean Identity find the cos(0) if the sin(0) =20/29 given that the terminal side is in the 2nd
quadrant. You must show all work.
The value of cosθ from the trigonometric identity is equal to -21/29
Data;
sin(0) = 20/29quadrant = 2nd quadrantPythagorean TheoremThis formula is used to find the missing side of a right angle triangle.
This is given as
[tex]hypothenuse^2 = adjacent^2 + opposite^2[/tex]
But in trigonometric ratio, the sine ratio is
[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]
This implies that
opposite = 20hypothenuse = 29adjacent = ?Let's find the adjacent using Pythagorean theorem
[tex]x^2 = y^2 + z^2\\29^2 = 20^2 + z^2 \\z^2 = 29^2 - 20^2\\z^2 = 441\\z = \sqrt{441} \\z= 21[/tex]
Now that we know the value of adjacent,
The value of cos(0) will be
[tex]cos \theta = \frac{adjacent}{hypothenuse} \\cos \theta =- \frac{21}{29}\\[/tex]
Note: The negative sign in front of the ratio indicates the fact that in the second quadrant, only sine theta is positive, the rest are negative.
The value of cosθ is equal to -21/29
Learn more on Pythagorean theorem here;
https://brainly.com/question/343682
Question b keeps telling me I’m wrong
Answer:
negative 5
Step-by-step explanation:
What is the height of a right circular cylinder that has a volume of 48 cubic centimeters and a radius of 2 centimeters
Answer:
the answer will be 3.82 . Hope this helped
Step-by-step explanation:
The root x=1 has multiplicity 3 for the function f(x)=x^4 - x^3 - 3x^2 + 5x - 2
Answer:
x^10
the power will be add
prove these identities
(i) secx cosecx - cotx = tanx
Answer:
[tex](A)\frac 1 {cosx} \frac 1 {sin x} - \frac {cosx} {sin x} = \frac {sin x} {cosx} \\\\(B)\frac{1-cos^2 x }{cos x sin x} = \frac {sin x} {cosx} \\\\(C) \frac{(sin^2x + cos^2x)-cos^2 x }{cos x sin x} = \frac {sin x} {cosx} \\\\(D) \frac{sin^2x }{cos x sin x} = \frac {sin x} {cosx}\\\\(E)\frac {sin x}{cos x} = \frac {sin x}{cos x}[/tex]
In step A, you replace all trigonometric functions with their definitions in terms of sine and cosine.
In step B, you add the two together as you add fractions.
In step C, you replace 1 with the sum of the squares of sine and cosine.
In step D, you add the cosine terms together so they disappear.
In step E, finally, you divide numerator and denominator by [tex]sin x[/tex].
Keiko will run less than 25 miles this week. So far, she has run 12 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run. Write your answer as in inequality solved for t.
Answer:
Step-by-step explanation:
12 ≤ t ≤ 25
t ≤ 13 miles
Find the slope of the line that passes through A(0,−5) and B(3,−4) .
Answer:
1/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-5))/(3-0)
m=(-4+5)/3
m=1/3
Can the side lengths of 3, 10, and 13 form a triangle?- quoara
Answer:
No, it can not.
Step-by-step explanation:
For a triangle to exist. The two sides of length of every triangle added up must be greater than the other length.
Here,
13 + 3 > 10
13 + 10 > 3
but,
3 + 10 > 13 is false
so, the side lengths 3, 10, 13 can not form a triangle.
Write an equation you can use to find the value of x.
The perimeter of square: 30 mm
Each side of the square is x mm
Answer:
56.25
Step-by-step explanation:
7.5x7.5=56.25
Match the graph with its function. Which is an example of growth decay?
Please someone explain me how can I find that
Answer:
fu
Step-by-step explanation:
Prove x²+y² = (x+y) (x-y)
Answer:
(x+y)(x-y)
x^2 - xy + xy - y^2
x^2 - y^2
1. Based on the graph and the
situation, which domain make sense
for function S?
a.) Domain: all numbers from 0 to 170.
b. Domain: whole numbers only from 0 to 60.
c. Domain: all numbers from 0 to 60.
d. Domain: whole numbers only from 0 to 170.
2. Based on the graph and the situation, which range make sense for function S?
a. Range: all numbers from 0 to 170.
b. Range: whole numbers only from 0 to 60
Range: whole numbers only from 0 to 170.ds word op die
d. Range: all numbers from 0 to 60.
Answer:
a.) Domain: all numbers from 0 to 170 and d. Range: all numbers from 0 to 60
Step-by-step explanation:
The domain is all of the numbers that the graph is on, over the x-axis. Looking at the x-axis, the graph only spans across 0-170, so the answer would be a.) Domain: all numbers from 0 to 170.
The range is all of the numbers that the graph is on, over the y-axis. Looking at the y-axis, the graph only spans across 0-60, so the answer would be d. Range: all numbers from 0 to 60.
What is the remainder when 3x5 + 4x4 - 2 is divided by x - 1?
Answer:
5
Step-by-step explanation:
x - 1= 0 → x = 1 We paste this value.
3(1)⁵ + 4(1)⁴ - 2= 3 + 4 - 2 = 5
There is another method that is longer. As shown in the picture
Does anyone know how to do this?
Answer:
y = - 3x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10 - 3x = - 3x + 10 ← is in slope- intercept form
with slope m = - 3
y = - 6x - 4 ← is in slope- intercept form
with y- intercept c = - 4
then equation of required line is
y = - 3x - 4
Hello!
The slope of the first line is -3.
The y-intercept of the second line is -4.
How did I identify the slope & y-intercept?
Let me share my "secret"
Well, both equations are written in slope-intercept form (y=mx+b)
where m = slope & b = y-intercept.
Now you know ;-)
Anyway, the new line should have the same slope as the first line (-3)
And the y-intercept of the second line is -4.
So the equation is
y=-3x-4
Hope everything's clear!
#KeepLearning
If mZT = (2x + 85), m ZV = (5x + 29)", and
the sum of the measures of the angles is
930, find the measure of each angle.
Answer:
Solving for x;
2x + 85 + 5x + 29 = 930
combine like terms:
7x + 114 = 930
-114 -114
7x = 816
/7 /7
x = 116.57, now we replace the x with it's actual value:
∠ZT = 2(116.57) + 85 = 318.14°
∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;
318.14 + 611.85 = 929.99, which is close to 930 so we are correct.
How many sides does a convex polygon have if the sum of measures of its angles is 2 520deg?
Answer:
16 sides
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here sum = 2520° , then
180° (n - 2) = 2520° ( divide both sides by 180° )
n - 2 = 14 ( add 2 to both sides )
n = 16
the polygon has 16 sides
What are the solutions to the equation below:
4x^x+1 = 5^-x
Answer:
I think it's E?
Step-by-step explanation:
hope this is right, if so then...
Pls, choose me as brainliest!
Nicole deposits $600 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years?
Answer:
Donna will be paid
$
80
as interest.
Explanation:
S
I
=
P
×
R
×
T
100
Applying the formula for simple interest we get:
S
I
=
800
×
2
×
5
100
S
I
=
8
00
×
2
×
5
1
00
S
I
=
8
×
2
×
5
S
I
=
80
Step-by-step explanation:
Answer:
$80
Step-by-step explanation:
Did this question in class before ;D
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER. To the nearest whole number what is the area of the regular hexagon?
______units squared
Answer: 42
Step-by-step explanation:
PLEASE HELP QUICK! MARKING BRAINLYEST!
You want to find out the height of a tree, so you hold a square cardboard so that the edges line up with the top and bottom of the tree, as shown in the diagram below. Your friend measures the horizontal distance from you to the tree, and the vertical distance from the ground to your eye.
What is the height of the tree to the nearest tenth of a foot?
The height of the tree to the nearest tenth of foot is 20.5 ft
Right angle triangle:
A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.
The side of the base triangle can be found using Pythagoras theorem.
c² = a² + b²
c² = 9.2² + 5.8²
c² = 84.64 + 33.64
c = 10.9 ft
using similar triangle ratio,
5.8 / 10.9 = 10.9 / x + 5.8
5.8x = 118.81 - 33.64
x = 85.17 / 5.8
x = 14.6844827586
x = 14.7 ft
The height of the tree to the nearest foot is 14.7 + 5.8 = 20.5 ft
learn more on right angle triangle here: brainly.com/question/26909069
Graph each equation. Determine the solution of the system of equations.
x+4y=16
5x+4y=0
I NEED HELP!!!
What is the area of a triangle that has a height of 10 feet and a base length of 8 feet?
10 feet2
20 feet
40 feet
80 feet
Answer:
40 feet
Step-by-step explanation:
The area of a triangle is given by A=h×b/2
A=10×8/2
A=80/2
A=40 feet²
During a record setting rainfall, 0.057 inch of rain fell every
minute for 35 minutes. How much rain fell in 10 minutes?
Answer:
0.57 inches
Step-by-step explanation:
To find the quantity, multiply the rate by the time.
(0.057 in/min) × (10 min) = 0.57 in
At the given rate, 0.57 inches fell in 10 minutes.