Answer: square root of 500
Step-by-step explanation:
10 squared is 100
100 * the square root of 5 = the square root of 500.
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 26
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.1 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answer:
c ≅ 35.4 cm.
Step-by-step explanation:
To find the length of the Hypotenuse of a triangle, the formula a² + b² = c² will need to be used. Therefore:
26² + 24² = c² (c is the hypotenuse)
1252 = c²
√1252 = c
c ≈35.38
Round to tenths place:
c ≅ 35.4 cm. This is the Hypotenuse of the triangle.
how to solve 4(7-3x)=7(4-2x)
Answer:
Step-by-step explanation:
First, you distribute the 4 and 7 to the stuff inside the parentheses 28 - 12x = 28 - 14x then add 28 to both sides -12x = -14x then add 14x to both sides 2x = 0 then divide both sides by 2 x = 0
Answer:
x=0
Step-by-step explanation:
4(7-3x)=7(4-2x)
Distribute
28 -12x = 28 -14x
Subtract 28 from each side
-12x = -14x
Add 14x to each side
-12x+14x = -14x+14x
2x=0
x =0
Penny sells knitted scarves for 12$ each. The cost of supplies to make each scarf is x dollars. How much profit will Penny make if she sells y scarves?
Answer:
If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.
Step-by-step explanation:
Answer:
the answer is y(12-x)
Step-by-step explanation:
i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee
What is the value of [1.1]? –2 –1 0 1
Answer:
The answer is -2.
Step-by-step explanation:
Answer:
-2 :D
Step-by-step explanation:
Just did the test:)
Which comes first? Intermediate algebra, or algebra?
Answer
Algebra
Step-by-step explanation:
Intermediate is the same as algebra 2
Answer:
Step-by-step explanation:
Algebra
Which system of inequalities is shown?
Answer:
I'm 90 percent sure the answer is A.
Step-by-step explanation:
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation? A. x + y = 3 and x minus 3 y = negative 27 B. x + y = 3 and x minus 3 y = negative 9 C. x minus y = 3 and x minus 3 y = negative 27 D. x minus y = 3 and x minus 3 y = negative 9
Answer:
D. x - y = 3 and x - 3 y = - 9
Step-by-step explanation:
The descriptions above describe the equation of choice D, so I pick this answer.
Answer:
D
Step-by-step explanation:
just took the test
I need help pleassseee
Answer:
The length of the radius is 3cm.
Step-by-step explanation:
Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 6 \div 2[/tex]
[tex]radius = 3cm[/tex]
Answer:
[tex]6^{2} - 3^{2} \pi[/tex] = area of the black 7.725666
[tex]x^{2} - r^{2} \pi[/tex]
area of square - area of circle
the diameter of the circle is 6 and half that is the radius = 3
What is the coordinate of point P that lies along the directed line segment from Q(2,5) to R7, 12) and partitions the segment in the ratio of 3 to 2?
Your answer.
0 (3, 42)
O(4.5, 8.5)
O (5,9.2)
O (5,7)
Clear answer
Answer:
Step-by-step explanation:B
Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line "r" show your working
Answer:
Line r has a gradient of -1/2
Step-by-step explanation:
Perpendicular lines have a gradient of negative reciprocal to each other such that multiplying both the slopes give -1
=> Gradient of this line = 2
=> Gradient of line perpendicular to it = [tex]\frac{-1}{2}[/tex]
Multiplying both gradients:
=> 2 * [tex]\frac{-1}{2}[/tex]
=> -1
(SO They are perpendicular!)
please help, i need to pass. which function represents the inverse of function f below?
Answer:
B
Step-by-step explanation:
If you switch the x and y you can solve for the inverse by solving for y like this:
x=3y+5
3y=x-5
y=(x-5)/3
which can be rewritten as B.
Evaluate f(-4) for the function f(x) = 5 - X.
Answer:
9Solution,
[tex]f(x) = 5 - x \\ f( - 4) = 5 - ( - 4) \\ \: \: \: \: \: \: \: \: \: \: \: = 5 + 4 \\ \: \: \: \: \: \: \: \: \: = 9[/tex]
hope this helps....
Good luck on your assignment...
Which expression is a perfect cube?
12x12y18
O 12x27,125
O 64x15y18
64x27
27,125
Answer:
D: 64 x^27 y^125
Step-by-step explanation:
You can use either a calc or your knowledge of cube roots. I will be using knowledge.
You can automatically rule out a and b as if you take the cube root of 12, no whole number comes out. You are left with c and d. Option D is correct because the cube root of 64 is a whole number (4), the cube root of 27 is a whole number (3), and the cube root of 125 is also a whole number(5).
ANYONE HELP, WILL GIVE BRAINLIEST ANSWER
Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
Double a number, minus the sum of the number and two
Answer:
x - 2
Step-by-step explanation:
Rewrite this symbolically: "Double a number, minus the sum of the number and two"
Let x represent the unknown number.
Then: 2x - (x + 2), or 2x - x - 2, or x - 2
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelogram, if DG = GH, AB = 39 in, GP = 12 in.
Answer:
The area of a parallelogram is 360 in.²
Step-by-step explanation:
Where DG = GH
GP = 12 in.
AB = 39 in.
∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)
Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH
Therefore, ∠GAB + ∠HBA = 90°
Hence, ∠BPA = 90° (Sum of interior angles of a triangle)
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]
We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)
∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)
Hence AD = DG (Side length of isosceles triangle)
The bisector of ∠ADG is parallel to BH and will bisect AG at point Q
Hence ΔDAQ ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP
Hence, AP = 3 × GP = 3 × 12 = 36
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]
[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]
∠GAB = 22.62°
[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]
[tex]GH = \dfrac{39}{36} \times {12}[/tex]
GH = 13 in.
∴ AD 13 in.
BP = 39 × sin(22.62°) = 15 in.
GH = √(GP² + HP²)
∠DAB = 2 × 22.62° = 45.24°
The height of the parallelogram = AD × sin(∠DAB) = 13 × sin(45.24°)
The height of the parallelogram = 120/13 = 9.23 in.
The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²
Answer:
360 in2
Step-by-step explanation:
The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.
The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.
The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD
The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.
In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:
DG + GH + HC = AB = 39
GH + GH + GH = 39
GH = 13
in the parallelogram we have the property:
mDAB + mABC = 180°
We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:
mGAB + mABH + mBPA = 180
mDAB/2 + mABC/2 + mBPA = 180
(180/2) + mBPA = 180
mBPA = 90°
If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:
cos(mHGP) = GP / GH = 12 / 13
Then, we can find the sine of mHGP using:
sin(mHGP)^2 + cos(mHGP)^2 = 1
sin(mHGP)^2 + 144/169 = 1
sin(mHGP)^2 = 25/169
sin(mHGP) = 5/13
If we draw the height of the triangle GPH relative to the side GH, we have:
sin(mHGP) = height / GP
5 / 13 = height / 12
height = 60/13
The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:
height / (h2+height) = GH / AB
(60/13) / (h2 + (60/13)) = 13/39 = 1/3
180 / 13 = h2 + (60/13)
h2 = 120/13
Then the area of the parallelogram is:
Area = AB * h2 = 39 * 120/13 = 360 in2
the bearing of m from N is 70 degree what is the bearing gor N from M ?
Answer:
250°
Step-by-step explanation:
The bearing of N from M is 70° + 180° = 250°
Two jokers are added to a 52 card deck and the entire stack of 54 cards is shuffled randomly. What is the expected number of cards that will be strictly between the two jokers?
Answer: 52/3
Step-by-step explanation:
Each card has an equal likelihood of being either on top of the jokers, in between them,
or below the jokers. Thus, on average, 1/3 of them will land between the two jokers.
Answer:
52/3
Step-by-step explanation:
The probability that they will be landed on is 52/3
Ms. Costello borrows $5000 from a
bank that charges 9.25% interest per
year. What is her total amount due
after one year?
Answer: $5462.50
Step-by-step explanation:
Interest = 5000 x 9.25 / 100 = 462.50
Amount to be paid
= 5000 + 462.50
= 5462.50
Will Mark Branliest What is the approximate mean absolute value for the data shown in the dot plot? 1.09 0.92 2 6
Answer:
Population size:11
Mean (μ): 6
Mean Absolute Deviation (MAD): 1.09
Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Factor x2 − 16. Show your work. (3 points) (10 points)
Answer:
Part A : y²(x + 2)(x + 4)
Part B: (x + 4) (x + 4)
Part C: (x + 4) (x - 4)
Step-by-step explanation:
Part A: Factor x²y²+ 6xy²+ 8y²
x²y²+ 6xy²+ 8y²
y² is very common across the quadratic equation , hence
= y² (x² + 6x + 8)
= (y²) (x² + 6x + 8)
= (y²) (x² + 2x +4x + 8)
= (y²) (x² + 2x)+(4x + 8)
= (y²) (x(x + 2)+ 4(x + 2))
= y²(x+2)(x+4)
Part B: Factor x² + 8x + 16
x² + 8x + 16
= x² + 4x + 4x + 16
= (x² + 4x) + (4x + 16)
= x( x + 4) + 4(x + 4)
= (x + 4) (x + 4)
Part C: Factor x² − 16
= x² − 16
= x² + 0x − 16
= x² + 4x - 4x - 16
= (x² + 4x) - (4x - 16)
= x (x + 4) - 4(x + 4)
= (x + 4) (x - 4)
When constructing an angle bisector of an angle, the first step is to draw
Question 6 options:
A)
two arcs in the interior of the angle.
B)
a segment bisector of both the sides of the angle.
C)
a line passing through the intersection of the arcs and the vertex.
D)
an arc using the vertex as the center, intersecting both sides of the angle.
For the real-valued functions, find the composition and specify its domain using interval notation.
Answer:
Composition: [tex]f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1[/tex]
Domain = { [tex]x\,/\,x\geq \,-4[/tex] }
Step-by-step explanation:
Given
[tex]f(x)=4\,x-1\,\,\, and \,\,\, h(x)=\sqrt{x+4}[/tex]
The requested composition becomes:
[tex]f(x)\,^o\,h(x)=f(h(x))\\f(x)\,^o\,h(x)=f(\sqrt{x+4} )\\f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1[/tex]
Then the Domain consists of all Real x-values for which the function is defined. In this case, the function is defined for all x-values for which the square root is defined, that is all x values for which:
[tex]x+4\geq \,0[/tex] (so the square root is defined in the Real number system)
This means [tex]x\geq \,-4[/tex]
The Domain is then all the Real x-values such that [tex]x\geq \,-4[/tex]
GUYS PLEASE ANSWER URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
17 : i 12x^2(4x−3) ,
ii : 5x(x−3y) ,
iii: 5xy^2z(3x^2−5z^2)
18) since the two polynomial are equal then :
2x^3+ax^2+3x-5 = x^3+x^2-2x+a same remainder x-2 then x=2
2(2)^3+a(2)^2+3(2)-5=(2)^3+(2)^2-2(2)+a solve for a
-3a=9
a=-3
18 ) x^3+y^3 -125+15xy
x^3+y^3-(5)^3-3(x)(y)(-5) then factorize x^3+y^3
(x+y)(x^2-xy+y^2)- (5)(5)^2-3(x)(y)(-5) common factor x+y-5
(x+y-5)(x^2-xy+y^2-5^2-3xy given x+y=5
5-5( x^2-xy+y^2-25-3xy) = 0
the value of the expression equal to zero
Given y = (2x + 3)2, what is the standard form of the given quadratic equation.
Answer:
[tex]y=4x^2+12x+9[/tex]
Step-by-step explanation:
Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:
[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]
Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed? 1 2 8 10
Answer: B: 2
Step-by-step Explanation
Answer:
C, 8
Step-by-step explanation:
I took the test on edge 2021
How many people are on both the golf team and the swim team?
11
6
5
3
Answer:
3 people
Step-by-step explanation:
3 people as per picture
Answer:
3 people's are on both the golf team and the swim team
THIS ONE IS URGENT I DON'T UNDERSTAND PLEASE HELP ME I WILL GIVE YOU BRAINLIEST/5 stars/Thanks/20 points please help me I would appreciate it!!! There are 2 questions please can you answer them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Part A = 2
Part B = I'm unsure, sorry.
Step-by-step explanation:
Answer:
Part A= 2
Step-by-step explanation:
hi can anybody help me with this i will mark them as brainliest
Answer:
5.75 cm²
Step-by-step explanation:
→ Utilise the area of a triangle formula
Area of a triangle = 0.5 × Base × Height
→ Identify base and height in the triangle
Base = 4.6 cm
Height = 2.5 cm
→ Substitute in the values into the area of a triangle formula
Area of a triangle = 0.5 × 4.6 × 2.5
→ Simplify
Area of a triangle = 5.75 cm²
Area of a triangle = 1/2 x base x height
= 1/2 x 4.6 x 2.5
= 5.75 sq. cm
The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?
Answer:
$22.95/hour.
Step-by-step explanation:
It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.
Let as consider x be the national average.
11% above the national average is
[tex]x+\dfrac{11}{100}x=x+0.11x=1.11x[/tex]
The average wage for an electrician in CA is 11% above the national average. So,
[tex]1.11x=25.47[/tex]
Divide both sides by 1.11.
[tex]x=\dfrac{25.47}{1.11}[/tex]
[tex]x=22.945945...[/tex]
[tex]x=22.95[/tex]
Therefore, the national average is $22.95/hour.
Answer: 22.95
Step-by-step explanation:
The diameter of a sphere is 2 ft. What is the sphere's volume? Round to the nearest tenth.
A) 4.2 ft3
B) 8.1 ft3
C) 16.8 ft3
D) 33.5 ft3
Answer:
4.19 ft ^3 or A.
Step-by-step explanation:
Answer:
A) 4.2 ft3Step-by-step explanation:
option a is correct ✔✔✔