Answer:
30
Step-by-step explanation:
the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units
1 feet = 12 inches
157 x 12 = 1884
circumference of a circle = 2nr
2 x 3.14 x 10 = 62.8 in
Number of revolutions = 1884/62.8 = 30
Suppose $580 is placed in a savings account at a simple interest rate of
5.5%. How much interest will the account earn in 3 years?
Answer: $95.7
Step-by-step explanation:
580 x 5.5% = 31.9 x 3 =95.7
$95.7
A shipping company places circular labels on all of their products. Each label measures a 4 inch radius. If the company order 10 label, how many square inches are needed? Use 3.1 for π.
Answer:502.4 Square inches are need.
Step-by-step explanation:
Amy owns 3 1/3 acres of farmland. She grows beets on 1/6 of the land. On how many acres
of land does Amy grow beets?
Plz
Answer:
5/9 acres
Step-by-step explanation:
3 1/3 areas is 10/3
1/6 of the land is covered with beets
[tex]\frac{10}{3} * \frac{1}{6} =\frac{10}{18}[/tex]
[tex]\frac{10}{18}[/tex] will simplify to [tex]\frac{5}{9}[/tex]
Hence the answer is 5/9 acres
Right answer gets brainlist
Answer:
(-7-2)....................hope this helps
Which statement below describes the mode of the data represented in the relative frequency table? A) The mode of the data represented in the table is blue. B) The mode of the data cannot be determined. C) The mode of the data represented
Answer:
A
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times in the data set while the other values appear only once.
Mode is a measure of central tendency
Other measures of central tendency includes : mean and median
Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most
Blue has the highest relative frequency value
Which one should I choose?
Given:
A figure of a quadrilateral.
To find:
The measures of angle 1 and angle 2.
Solution:
The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.
We know that the diagonals of a kit are perpendicular to each other at the point of intersection.
[tex]m\angle 1=90^\circ[/tex]
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
[tex]90^\circ+65^\circ+m\angle 2=180^\circ[/tex]
[tex]155^\circ+m\angle 2=180^\circ[/tex]
[tex]m\angle 2=180^\circ-155^\circ[/tex]
[tex]m\angle 2=25^\circ[/tex]
Therefore, the correct option is C.
A string of lights has two blinking lights. One blinks every twelve minutes while the other blinks every forty four minutes. If they both blinked at 1pm, when is the next time they will blink again. (Find the LCM (Least Common Multiple))
Answer:
They will both blink again at 3:12 pm.
Step-by-step explanation:
As indicated by the question, the way to solve is to find the Lowest (or Least) Common Multiple of both numbers.
As such:
[tex]\text{List the factors of 12 and 44:}\\12=2*2*3\\44=2*2*11\\\\\text{Take the common factors only once and multiply them by the non-common factors:}\\2*2*3*11=132 \text{ (LCM)}[/tex]
Now knowing the LCM is 132, we convert those minutes into hours and minutes:
[tex]\frac{132}{60}=2\frac{12}{60} \text{ (2 hours and 12 minutes)}[/tex]
Add this to the original time:
[tex]1:00\text{ pm } + \text{ }2:12 \text{ }= \text{ }3:12\text{ pm}[/tex]
A piece of granite with a volume of 40 cm^3 has a mass of 108g. What is the mass of a piece of granite the volume of which is greater by 35 cm^3?
Answer:
The mass of the piece of granite with volume of 75 cm^3 is 202.5 grams.
Step-by-step explanation:
Let
m = the mass of a piece of granite whose volume is: 40 + 35 = 75 cm^3 (greater by 35 cm^3)
Since Density = Mass / Volume and we are talking about pieces of the same material (same density) we can write:
m/75 = 108/40
m = 202.5 g
Find the area of Triangle A in square centimeters.
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
Write the equation of a line that is parallel to the given line and passes through the given point.
y=1/3x+1 (-3,4)
Answer:
[tex]y=\frac{1}{3}x +5[/tex]
Step-by-step explanation:
Linear equations are typically formatted in slope-intercept form:
[tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
Parallel lines will always have the same slope. Therefore, this line will also have a slope of [tex]\frac{1}{3}[/tex]. Plug this into our equation:
[tex]y=\frac{1}{3} x+b[/tex]
2) Determine the y-intercept (b)
To solve for the y-intercept (b), plug the given point (-3,4) into our equation and isolate b.
[tex]4=\frac{1}{3}(-3)+b\\4=\frac{-3}{3}+b\\4=-1+b[/tex]
Add 1 to both sides
[tex]4+1=-1+b+1\\5=b[/tex]
Therefore, the y-intercept is 5. Plug this back into our original equation with the slope:
[tex]y=\frac{1}{3}x +5[/tex]
I hope this helps!
Juan has just opened a parking garage. His costs include employee salaries, building upkeep, computer systems, and weekly paid advertisements in local newspapers. In the first month, Juan's revenue has been very low. How can Juan reduce his costs without affecting the business's productivity and profitability?
Answer:
He can reduce advertisement expenses
Step-by-step explanation:
What formula would you use to find the area of this figure?
Answer:
(base × height) × 0.5
Step-by-step explanation:
Formula of the Area of a Triangle => (base × height) × 0.5
help !! pls help 6th grade work :(
Answer:
The answer is 4 m
Step-by-step explanation:
You have two values - the height and length and - and you are missing the width.
The volume (353 m^3) of this rectangular prism is equal to b(ase) x h(eight) x w(idth).
So we can create the equation: 352 = bhw = (8)(11)h = 88h
352/88 = 4
Therefore your missing value is 4.
A new car is for lease for $429 per month with a down payment of $1,058. What is the cost for 42 months for this vehicle?
$19,076
$44,865
$44,436
$18,018
$62,454
help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]
Answer:
[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:distribute tan(θ):
=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0
remove parentheses:
=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0
so this equation is now in standard form i.e ax²+bx+c=0
we can solve by factoring as we solve quadratic equation
factor out tanθ:
=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0
factor out -√3:
=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0
group:
=>(tan(θ)-√3)(tan(θ)-1)=0
separate it as two different equation:
[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]
add 1 and √3 to both sides to first and second equation respectively:
[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]
[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]
[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]
Kara bought a gift for her nephew. She spent $25 on the gift. Sales tax was 6.75%. What was the total cost for the gift , including tax?
Answer:
31$ and 75 cents
Step-by-step explanation:
Add the polynomials and write your answer in standard form.
(4x^3+6x-7) + (3x^3-5x^2-5x+9)
Answer:
we can simplify this and get 7x^3 -5x^2 + x +2
Step-by-step explanation:
In ACDE, the measure of E=90°, the measure of C=70°, and DE = 12 feet.
Find the length of CD to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
12.8 feet
Given the 3 points A(0;1) , B(5;0) , and C(4;2)
a) Find the coordinates of M the midpoint of [AB]
b) Find the coordinates of G the center of gravity of the triangle ABC .
Answer:
The answer is below
Step-by-step explanation:
a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:
x = (x₁ + x₂)/2; y = (y₁ + y₂) / 2
Since M(x, y) is the midpoint of AB, then the coordinates of M is:
x = (0 + 5) / 2 = 2.5; y = (1 + 0)/2 = 0.5
M = (2.5, 0.5)
b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.
Let O(x, y) be the center of gravity of triangle ABC, hence;
x = (0 + 5 + 4) / 3 = 3
y = (1 + 0 + 2) / 3 = 1
O = (3, 1)
Which rectangular equation represents the parametric equations x = 3t ^1/2 and y = 6t?
photo has the answer choices !
Answer:
B
Step-by-step explanation:
on edge 2021
If I have $358 and every week I get $100 but I donate 17% of that $100 to charity how much money do I have in 3 weeks?
Answer: 590
Step-by-step explanation: 17$ is 17% and times that by 3 because of the 3 weeks, then you have 68$ and I just added 300 to the rest and then just subtracted 68$
What can I say exept your not welcome :D
If point H(-6, 2) is translated 4 units up and 3 units right, what are the
coordinates of the translated image?
Answer: H(-3 , 6)
X increase is horizontal
Y increase is vertical
I need help with my math homework
If x = 3 units, y = 6 units, and h = 5 units, find the area of the parallelogram shown above using decomposition.
Answer:
C. 30 square units
Step-by-step explanation:
Sana makatulong
Amanda wants to buy 15 dollars worth of candy. The gummy worms cost $1.50 per pound and the peanut
butter cups cost $3 per pound. Let x be the amount of gummy worms in pounds and y be the amount of peanut
butter cups in pounds.
Answer:
C = $1.50x + $3y
Step-by-step explanation:
Using the information provided we can create an equation to model the total dollar cost of Amanda's purchase when visiting the candy store. To do this we need to multiply each candies individiual cost by the amount of each candy they are purchasing. Then we add together all of these values to get the final total cost which would be represented by C.
C = $1.50x + $3y
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
What is the maximum height?
960 feet
1008 feet
1024 feet
1152 feet
The maximum height that the ball will reach is the one in the third option, 1,024 feet.
What is the maximum height?We know that the height is modeled by a quadratic function:
H = -16t² + 64t + 960.
Where t represents the time in seconds, and H is the height in feet.
To find the maximum height we need to find the vertex of the quadratic, in this case, the vertex is at:
t = -64/2*-16 = 2
Evaluting there we will get:
H(2) = -16*2² + 64*2 + 960 = 1,024
That is the maximum height that the ball will reach.
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
Use the image to answer the question below.
Which equation best represents circle A?
Answer: the answer is A
Step-by-step explanation:
If I could have help with this that would be great :) i’ve been working on it for about an hour.
EMERGENCY!! please answer!!
PLEASE HELP!
Simplify the polynomial. Fill in the blanks with the missing numbers.
5x−5+11x^2+4x−6x^2+8
Answer:
5x−5+11x^2+4x−6x^2+8
5x^2 + 9x + 3
Step-by-step explanation:
Answer: 5x^2 + 9x + 3 .
Step-by-step explanation: i took the test !