Step-by-step explanation:
the answer to your question is
a
Answer:
54 inches squared.
Step-by-step explanation:
(6*3) + (6*3) + (3*3) + (3*3). The areas of the faces added together. It is basically the perimeter of a 3D shape, except instead of measuring 2D sides, it is 3D shaped faces.
The radius of each tire on Carson's dirt bike is 10 inches. The distance from his house to the corner of his street is 157 feet. How many times will the bike tire turn when he rolls his bike from his house to the corner? Use 3.14 to approximate π.
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
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answer:
Step-by-step explanation:
x=3
write the function that represents the sequence in the table
In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°
Answer:
B is the answer
Step-by-step explanation:
Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.
[tex]3x + 6 + 2x - 1 = 90[/tex]
[tex]5x + 5 = 90[/tex]
[tex]5x = 85[/tex]
[tex]x = 17[/tex]
Plug 17 into both to find the smaller angle
[tex]3(17) + 6 = 57[/tex]
[tex]2(17) - 1 = 33[/tex]
[tex]33 < 57[/tex]
So 33 is the answer or B
graph the point (-10,-7) on the coordinate plane
3. A store clerk sold 60 pairs of sneakers. The
high-tops sold for $98.99 and the low-tops sold for
$129.99. If the receipts for the two types of sales
totaled $6,404.40, how many of each type of sneaker
were sold?
Answer:
High top pairs- 45
Low top pairs- 15
Step-by-step explanation:
The formula to calculate the gravitational force between two objects is F_g=GM_1M_2/r^2, where M_1 and M_2 are the masses of the objects, G is the gravitational constant and r is the distance between the objects. Solve for M_1 in terms of F_g, G, M_2 and r.
Answer:
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:
[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]
Thus, cross multiply to have;
[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]
then divide through by G[tex]M_{2}[/tex] to have,
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in the ratio
2, the least number given in the ratio
14, the least common multiple of the numbers given in the ratio
9, the sum of the numbers given in the ratio
5, the difference of the numbers given in the ratio
7, the greatest number given in the ratio
9514 1404 393
Answer:
9, the sum of the numbers given in the ratio
Step-by-step explanation:
The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.
It is convenient to think of the line segment as being divided into 9 equal parts.
_____
Additional comments
It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.
It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
Hello There!
First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)
Because the fee is 3 dollars we can immediately eliminate answers B and C
Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)
Once again we want to choose two points on the line and plug it in into the slope formula
the points are optional but i have chosen the points (1,4.5) and (2,6)
*plug it into the slope formula*
[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]
so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A
Eli makes a dozen cupcakes
he puts white frosting on 1/2 and chocolate frosting on the other 1/2
he puts sprinkles on 1/3 of the white frosted cupcakes and 1/2 of the chocolate frosted cupcakes
what fraction of the cupcakes have sprinkles?
Answer:
5/12 I think?? Hope this helps!
Find the simple interest paid to the nearest cent for each principal, interest rate, and time. $570, 2%, 4 years
Answer:
570 of 2% 4years
570×2÷100 4years
11.5 × 4÷12
3.8..
BC has endpoints at B(3, 8) and C(7,6). Find the midpoint M of BC.
Write the coordinates as decimals or integers.
Submit
Answer: (5, 7)
Step-by-step explanation: Midpoint formula is ((x1 + x2)/2, (y1+y2)/2) where (x1, y1) and (x2, y2) are points on a line. Thus
(3+7/2, 8+6/2) = (5, 7)
SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck
how do I solve for x for number 4
Answer: 20.8
Step-by-step explanation:
Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]
Give the quotient in simplest form:
Answer:
x
Step-by-step explanation:
x/y / 1/y =
x / 1 x y / y =
x / 1 x 1 =
x
Hope that helps!
-Sabrina
Please help out !
Select all of the quadratic expressions in vertex form.
A (x - 2)2 +1
B x2 - 4
C + (x+1)
D (+3)
E (3 – 4)² + 6
Change the fraction 3/4 to a percent
Answer:
0.75
Step-by-step explanation:
what you do is divde 3 by 4 which equals to 0.75
Answer:
75%
Step-by-step explanation:
If your rounding 2 decimals. Hope this helps!
The circumference of a tree trunk is 50 ft
Answer:
So the length will be the same as the length of the torso
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
What is the slope of the line that passes through the points (8, 2) and (9, 3)? Write
your answer in simplest form.
Answer:
The slope of the line is 1
Step-by-step explanation:
A membership price for the local pool went
from $80 to $60. What is the percent
change in membership cost?
Write an inequality for the statement the temperature is greater than 100°F
Is parallelogram BCDE a rectangle?
Please someone answer this!
Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in 2 years?
Answer: 108$
Step-by-step explanation:
help! parallel, perpendicular, or neither?
Answer:
parallel
Step-by-step explanation:
Because a is pependicular to k
If I have 14 neutrons and 11 electrons, what is my mass number?
A.25
B.3
C.11
D.14
Answer:
A : 25
Step-by-step explanation:
In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.
The mass number is the sum of the number of neutrons and the number of protons.
mass number=protons+neutrons
As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.
mass number = 14 + 11
Someone please help me in this I don’t know it I don’t wanna fail please...I’m so bad at math
Answer: C
Step-by-step explanation:
In 2 games the team had zero runs
In 1 game the team had one run
In 1 game the team had two runs
In 3 games the team had three runs
In 2 games the team had four runs
In 1 game the team had five runs
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]