Answer:
78.5cm^2
Step-by-step explanation:
Circumference equation = 2πr with radius r
10π = 2πr so r = 10π/2π = 5
Area of circle = πr^2
π * 5^2 = π * 25 = 25π = 78.53981... = 78.5 cm^2
Use synthetic substitution to find f(3) and f(-4) for f(x)= x^4 - 8x- 11.
Answer:
f(3)=56, f(-4)=277
Step-by-step explanation:
f(x)=x^4-8x-11
f(3)=3^4-8(3)-11=3*3*3*3-24-11=9*3*3-35=27*3-25=81-25=56
f(-4)=(-4)^4-8(-4)-11=(-4)(-4)(-4)(-4)+32-11=(16)(16)+32-11=256+32-11=288-11=277
Answer:
227
Step-by-step explanation:
find the following quotient. when appropriate, round your answer to the nearest hundredth Divide 0 by 12
Answer: 0/12 would be 0; 12/0 would be undefined
Step-by-step explanation: 0/12 is 0 because properties of zero; 12/0 is undefined because of properties of zero.
A website sells custom messenger bags in 5 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 26 choices of logo color, 12 choices of liner color, and 49 choices of strap pad color. There are 2 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible?
Answer:
1.238 * 10^13
Step-by-step explanation:
Number of sizes = 5
Color combination per size = 52
Panel option for each combination = 3
Binding color = 18 choices
Logo color = 26 choices
Liner color = 12 choices
Strap pad color = 49 choices
Interior style = 2 choices
Right or led handed = 2 choices
Chiller or not = 2 choices
Grab strap or not = 2 choices
Camera insert or not = 2 choices
Water bottle pocket or not = 2 choices
(5 x 52^3 * 18 * 26 * 12 * 49 * 2^6)
= 12381782999040
= 1.238 * 10^13 choices
The base of a 15-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?
The height of the building is ft
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
the answer would be 13.75 feet
Step-by-step explanation:
The computation of the tall is the building as follows:
Given that
Base is 6 foot
And, the hypotheses is 15 feet
Here we use the Pythagoras theorem
= √15^2 - √6^2
= √225 - √36
= √189
= 13.75 feet
Hence the answer would be 13.75 feet
1. -2- 3x + 2x + 5x + 4
Does Someone know how to do the work for this question?! Need ASAP
Answer:
5x^3-x+2
Step-by-step explanation:
We rearrange the formula grouping x together but preserving subtraction and start numbers from left.
- 2 -3x + 2x + 5x^3 +4
= -2+4
= 2
-3x +2x = -1x = -x
= 5x^3 +2 - x
= 5x^3 -x + 2
We cannot distribute unless we had the given values for x
if x = 1 and we were told this, then the equation would be set to zero +2 as you would be left with x^3 = 1 and x = 1 and 1-1 = 0
Then you would just need to apply +2 = 2.
But in standard form we leave the amounts 5x^3 -x +2
Alex has 6,000 grams of jelly beans. He is filling boxes that each hold 2 kilograms of jelly beans and selling the boxes for $9.95. How much money will he make from selling the boxes?
Answer:
29.85
Step-by-step explanation:
since a kilogram i 1000 grams and he is putting 2 kilos in each box he can only fill 3 boxes.
A painter is placing a ladder to reach the third story window, which is 34 feet above the ground and
makes an angle with the ground of 70°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned ______
feet out from the building.
Answer:
34 times 70
Step-by-step explanation:
Express Tan x as function of sin only
Answer:
Tan x = sin x / √[1 - sin²θ]
Step-by-step explanation:
We know that;
Tanx = Sinx / cosx
Squaring both side
Tan²x = Sin²x / cos²x
[cos²θ = 1 - sin²θ]
So,
Tan²x = Sin²x / [1 - sin²θ]
Taking root both side
Tan x = sin x / √[1 - sin²θ]
What is the value of x?
Answer:
98%
Step-by-step explanation:
What is the solution of the equation below?
− 34.1 = 44.5
Group of answer choices
m = 10.4
m = 14.4
m = 70.6
m = 78.6
Answer:
Add 34.1 to both sides of the equation and get m=78.6
Q. Abby lives in a home worth $115,000. She has a mortgage of $98,000. she owes $5,200 on her car that is worth $11,000. she has a credit card balance of $2,300. she also has a checking account with a balance of $900 and $300 in gift cards. What is Abby's net worth?
A. 127,200
B. 105,500
C. 232,700
D. 21,700
Math work questions help
[10 • 32 - 3] + 10 I need help nowww!
Answer:
Its 327!
Step-by-step explanation:
[10x32-3]+10 10x32=320 320-3=317 317+10=327
Answer:
327
Step-by-step explanation:
PEMDAS - parenthesis exponent multiply divide add subtract, the order to solve.
solve the parenthesis first, inside the parenthesis do the multiplication 1st so 10 times 32 which = 320. then subtract 3 = 317. then, lastly, add the 10 to get 327.
The measure of this angle is 151. What is the measure of its supplementary angle
Answer:
180-151 = 29 degrees
this is the right answer
Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)
Answer:
3(4a−5b+2)
Step-by-step explanation:
The answer should have originally been 3(4a-5b+2)
3(4a+5b+3)= 12a+15b+9 which is incorrect.
Subtract: (3x + 5y - 4) -(4x + 11)
Two rectangles are similar the sides of the larger rectangle have lengths of 24 and 30 inches the perimeter of the smaller rectangle is 27 inches find the length of the shorter side of the smaller rectangle
Answer:
small rectangle sides are 7.5 and 6
Step-by-step explanation:
Large rectangle perimeter=30+30+24+24=108
Small rectangle perimeter=27
27 is one fourth of 108 so:
small rectangle sides are 30/4 and 24/4
small rectangle sides are 7.5 and 6
Answer:
i have no clue
Step-by-step explanation:
it is really hard and i need help with it myself
Is there enough information shown on the triangles to say that the
two triangles are congruent?
(A) No. All three angles must be congruent to one another or the
two triangles aren't congruent.
(B) No. The corresponding angles aren't congruent, which means
that the triangles aren't congruent.
(C) Yes. All pairs of corresponding angles are congruent; therefore,
the two triangles are congruent.
(D) No. The corresponding pairs of sides must also be marked
congruent to determine that the triangles are congruent.
Answer: (D) No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.
==================================================
Explanation:
The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.
Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.
The list of congruent theorems is
SSSASAAAS (or SAA)SASHLLLMuch of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.
------------
So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.
Triangle ABC is shown below.
What is the cosine of angle B?
The cosine of angle ∠B will be 3 / 5. Then the correct option is C.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.
cos θ = base / hypotenuse
Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.
Then the cosine of the angle ∠B will be given as,
cos θ = base / hypotenuse
cos B = 3 / 5
The cosine of angle ∠B will be 3 / 5. Then the correct option is C.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
In a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person
Ashley saves $32 from her weekly paycheck for her college education. This is 1/5 of her weekly salary. Write an equation to find out how much does she earn each week?
Answer: 32 divided by 1/5
Step-by-step explanation:
.2 = 1/5
32/.2 = 160
160 x .2 = 32
6x-1 + 4X+21 = 50 solve for x
Answer:
x = 3
Step-by-step explanation:
First you want to add the numbers.
6x - 1 + 4x + 21 = 50
6x + 20 + 4x = 50
Then you want to combine like terms
6x + 20 + 4x = 50
10x + 20 = 50
Then subtract 20 from BOTH sides of the equation
10x + 20 = 50
10x + 20 - 20 = 50 - 20
After, simplify.
10x = 30
Then divide BOTH sides of the equation by the same term
10x / 10 = 30 / 10
Simplify ..
x = 3
And your answer is going to be x = 3! Hope this helps! :)
Find slope of the line if it is defined through (5,10) and (5,-6)
Answer:
Undefined
Step-by-step explanation:
The slope is undefined as both points have the same x value.
Answer:
Undefined
Step-by-step explanation:
5 , 10
5 +0 = 5 <-- 5 , -6 <-- 10 - 16 = -6
m = [tex]\frac{y}{x}[/tex]
m = [tex]\frac{-16}{0}[/tex] <-- Doesn't sense. So the slope will be undefined
Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?
The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to
Answer:
greater than or equal to
Answer:
the above answer is correct, it is greater than or equal to
Step-by-step explanation:
A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost per litre of diesel if he spends rs 4000 each year?
Answer:
Average cost per litre of diesel = rs 8.00
Step-by-step explanation:
Amount spent on diesel each year = rs 4000
Price of a litre of diesel in the first year = rs 7.50
Price of a litre of diesel in the second year = rs 8.00
Price of a litre of diesel in the third year = rs 8.50
Average cost per litre of diesel = [tex]\frac{p_{1} + p_{2} + p_{3} }{n}[/tex]
where n is the number of years.
Average cost per litre of diesel = [tex]\frac{7.5 + 8.00 + 8.50}{3}[/tex]
= [tex]\frac{24}{3}[/tex]
= 8
Average cost per litre of diesel is rs 8.00
So that he buys an average of 500 (i.e [tex]\frac{4000}{8}[/tex]) litres every year.
Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?
A. 120
B.125
C.130
D.115
Answer:
C
Step-by-step explanation:
an exterior angle is supplementary to the adjacent interior angle.
So 180 - 55 = 125
180 - 65 = 115
The third angle of your triangle is 180 - 55 - 65 = 60
180 - 60 = 120
C is the only value that cannot be the measure of an exterior angle.
Can anyone tell me if this is right? Multiple choice!
Answer:
yes its correct
Step-by-step explanation:
Which is smaller 7/8 or 3/4
Answer:
3/4
Step-by-step explanation:
3/4 is equal to 6/8, and 6/8 is smaller than 7/8
Answer:
7/8
Step-by-step explanation:
3/4 is equal to 6/8 wich is smaller than 7/8.
Answer this pleaseee
Answer:
do i need to answer them all
Step-by-step explanation:
Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?
2.75 packs
Step-by-step explanation:
11 packs ÷4 gardens =2.75 packs per garden