Answer:
x^2 - 24x + 144
Step-by-step explanation:
24/2(1)= 24/2= 12
(12)^2= 144
Determine the value of
X in the diagram below. Justify your reasoning.
Answer:
x = 70°
Step-by-step explanation:
Sum of external angles of polygon = 360
x + 150 + 140 = 360
x + 290 = 360
x = 360 - 290
x = 70°
The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?
Answer:
14 meters
Step-by-step explanation:
A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.
Divide and answer in simplest form: 4/5 ÷ 2
Answer:
2/5
Step-by-step explanation:
4/5*1/2=4/10=2/5
Answer:
0.4 or [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
First convert 4/5 into a decimal of 0.8
Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]
Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres
Answer:
Prisms
Pyramids
Step-by-step explanation:
Lateral faces of a pyramid are triangles (3 sided polygon)
Lateral faces of prisms are rectangles (4 sides polygon)
Answer:
Cylinders, Prisms, Pyramids
Step-by-step explanation:
Hope this helps
Brainliest if correct pls
Solve the following problem:
Given: △SAL, SA = LA
AT − ∠bisector
Prove: m∠L = m∠S
Answer:
[tex]\angle L=\angle S[/tex] using congruence rule
Step-by-step explanation:
Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]
To prove: [tex]\angle L=\angle S[/tex]
Proof:
Two triangles are congruent if they have same shape and same size.
Consider triangles ALT and AST
AL = AS
As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]
AT = AT (common side)
So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )
Here, SAS denotes side-angle-side
[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)
Hence proved
Explanation:
First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.
Since A = A, we can remove A and it gives us m∠L = m∠S.
If you need to show work in math terms, your answer should look something like this:
1. △ ALT ≅ △AST - SAS
2. AL ≅ AS - Given
3. m∠ L ≅ m∠S
Hope this helped!
Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offering her 5.6% interest per year. For how long will she have to leave her money in the bank in order to reach her goal of $10,000?
Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
what is the surface of the square pyramid ?
A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)
Answer:
D. 20,250 square yards
Step-by-step explanation:
Base + 4 triangles
(75×75) + 4(½×75×97.5)
5626 + 14625
20250 yd²
Hunter assumed he would get 64 problems correct on his test, but he actually got 78 correct. What was his percent error? Round to the nearest percent
Answer:
=82%
Step-by-step explanation:
64:78*100=82%
Can some one help me???
Answer:
You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even
Step-by-step explanation:
When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 1.1 second. What probability of races will her finishing time be between 74.2 and 76.4 seconds?
Round to the hundredths place (2 places after the decimal)
Answer: 90% of the time.
Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.
Please help! I will give you brainliest !
Answer:
70 and 21
Step-by-step explanation:
6parts of the ratio represents 84 students
Divide 84 by 6 to find the value of one part of the ratio
84 ÷ 6 = 14 ← value of 1 part of the ratio, thus
5 parts = 5 × 14 = 70 ← number of Michigan students
Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21
without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct
Answer:
The shapes are the same, just one is sideways. They also have very similar measurements.
Step-by-step explanation:
Even so, when we check this we get:
(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2
when simplified (solved) this is: 18 3/8 = 18 3/8
E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.
Answer:
A
Step-by-step explanation:
Divide both sides of the equation by c²
Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
y=?
(FINALEXAM)
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
Help me I will give you brainliest!!!!
Answer:
2/36
Step-by-step explanation:
There are 36 possibilities when rolling a die
There are 2 that sum to 11
P (sum of 11) = sum of 11/ total
=2/36
1/18
The probability of not choosing a black shirt is...? please explain!
Answer:
80% or 8/10.
Step-by-step explanation:
Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white, 2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.
Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?
Answer:
34
Step-by-step explanation:
Given
y = 34[tex](5)^{x}[/tex]
To find the y- intercept let x = 0, that is
y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept
Complete section for 18 points.
Answer:
2,3,4,6, and 8
Step-by-step explanation:
2 is divisible by 24 because it is a multiple of 24
3 is divisible by 24 because it is a multiple of 24
4 is divisible by 24 because it is a multiple of 24
6 is divisible by 24 because it is a multiple of 24
8 is divisible by 24 because it is a multiple of 24
i am not sure about the explain.
i suck at explaining things
Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.
1)24Answers:
Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12
Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8
Divisible by 4: yes, result: 24/4 = 6
Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.
Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.
Divisible by 8: yes, result: 24/8 = 3
Divisible by 9: no, because the sum of its digits is not a multiple of 9.
Divisible by 10: no, because a number is divisible by 10 if it ends in 0.
Divisible by 25: no, because 25 is a number greater than 24.
Spymorea rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field
Answer:
[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]
Step-by-step explanation:
To find the area of a rectangle:
[tex]a=l*w[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
In this case:
length: [tex]l=\frac{9}{10}miles[/tex]
width: [tex]w=\frac{1}{2} miles[/tex]
thus, we multiply this quantities to find the area:
[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]
the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared
Which of the following shows the correct simplification assuming the denominator is not equal to zero?
Answer:
[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]
or
[tex]\frac{(3x+2)}{x^2+x}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]
The image of the point (1, -2) after a rotation of 180° about the origin is
(-2, 1)
(2, -1)
(-1, 2)
Answer:
(-1,2)
Step-by-step explanation:
Found answer on brainly.
Answer:
(-1,2)
Step-by-step explanation:
In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).
(1,-2)×(-1x, -1y)= (-1,2) .
if both points were negative, the points would be positive. if they were positive, they would be negative.
What is the area of the triangle?
A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches
Answer:
The answer is A. 6 square inches
Step-by-step explanation:
The area of a triangle is half the product of the height and base
Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x
Answer:
ln(216[tex]x^{4}[/tex] )
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log(xy)
log [tex]x^{n}[/tex] ⇔ n log x
Given
3ln6 + 4lnx
= ln 6³ + ln[tex]x^{4}[/tex]
= ln (216[tex]x^{4}[/tex] )
three-fourths the square of a number
Answer:
i think it is D i am sorry if it is wrong
Step-by-step explanation:
Which theorem or postulate could be used to prove the congruence of the triangles?
Answer:
Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
The postulate used to prove the congruence of the triangles is ASA.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two right triangles.
∠90° = ∠90°
side = side (given)
Angle = Angle (given)
By ASA (angle side angle)
The triangles are congruent.
Thus,
The postulate is ASA.
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In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%
Answer:
50%
Step-by-step explanation:
The mean ideally should be in the exact middle
Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4
Answer:
So the d) is right.
Step-by-step explanation:
we have:
-6x^2 - 2 - 3x=-8
6x^2 + 3x - 6 =0
The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17
These 2 solutions are:
[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]
So the d) is right.
If A and B are independent events and P(A) = 0.8 and P(A and B) = 0.3, find P(B).
*
3/8
6/25
8/3
25/6
Answer:
6\25
Step-by-step explanation:
Will mark brainliest!
Answer:
48
Step-by-step explanation:
6*8 = 48
I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.
Answer:
Your answer is 48 sq. ft.
Step-by-step explanation:
Why? Because A= L(W) Therefore, A= 8(6)=48
W varies inversely as the square of t. If W = 12 when t = 2,
find t when W = 27.
A. 27t = 24
B. 27t2 = 48
C. 108 = 12t
D. 12t = 54
Answer:
B
Step-by-step explanation:
Given W varies inversely as t² then the equation relating them is
W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation
To find k use the condition W = 12 when t = 2, thus
12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
k = 48
W = [tex]\frac{48}{t^2}[/tex] ← equation of variation
When W = 27, then
27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )
27t² = 48 → B
B) 27 t² = 48 will be the algebraic equation for t if W = 27.
What is proportionality?In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.
Given W varies inversely proportional to t² then the algebraic equation relating them is
W = k / t² is the constant of variation
for k we can use the condition W = 12 when t = 2,Hence,
12 = k / 2²
k = 48
When W = 27, then
27 = 48 / t² ( multiply by t² )
Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.
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