Step-by-step explanation:
The interest will be $560
Find the volume of the composite solid.
Here's the solution,
the volume of the given figure is :
=》
[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]
volume of pyramid :
=》
[tex] \dfrac{l \times b \times h}{3} [/tex]
=》
[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]
=》
[tex] \dfrac{120}{3} [/tex]
=》
[tex]40[/tex]
volume of pyramid = 40 cm³
now, volume of rectangular prism :
=》
[tex]l \times b \times h[/tex]
=》
[tex]4 \times 5 \times 2[/tex]
=》
[tex]40[/tex]
volume of rectangular prism = 40 cm³
volume of composite figure = 40 + 40
=》80 cm³
The volume of the composite solid will be 80 cubic cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The volume of the Pyramid will be given as,
V = (1/3) × Base area × height
Then the volume of the geometry will be
V = L x W x H + (1/3) x Base area x height
V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6
V = 40 + 40
V = 80 cubic cm
Thus, the volume of the composite solid will be 80 cubic cm.
More about the geometry link is given below.
https://brainly.com/question/7558603
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3. A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit. *
Type your inequality AND your answer as a sentence.
Exchange the digits in lakhs and tens places of the number 6,10,932 and find the sum of the new number and the original number.
Answer: [tex]9,21,894[/tex]
Step-by-step explanation:
Given
The given number is 6,10,932
Value at lakhs place is 6
value at tens place is 3
Exchange them to get a new number i.e. 3,10,962
Now, the sum of the original and new number is
[tex]6,10,932+3,10,962=9,21,894[/tex]
Round 245,675 to the nearest hundred thousand
The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, given that,
Round 245,675 to the nearest hundred thousand
we know,
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
so, we get,
here, to the nearest hundred thousand means 675 > 500
so, it will be 5,675 => 6000
we have,
Rounding off 245,675 to the nearest hundred thousand is:
246000
Hence, The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.
To learn more on round off click:
brainly.com/question/29348203
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Find an equation of the line passing through the point ( - 12,
5) and perpendicular to - 12x – 3y = 12.
1]
1]
Write your answer in slope-intercept form.
(416-645)x(4965^3)+50222+
Answer:
It's
−28028073006403
Hope it helps!
Answer: − 2 8 0 2 8 0 7 3 0 0 6 4 0 3
Step-by-step explanation: i assume ur last + was supposed to be = ?
Christopher needs to buy wooden boardes to build a box that is 12 inches long, 6 inches wide, and 8 inches high. How many square inches of wooden boards is needed to build the box
Answer:
432 in²
Step-by-step explanation:
To Obtian the square inches of wooden boards required :
Area of box = 2(l * w) + 2(l * h) + 2(h * w)
Length = 12 ; width = 6 ; height = 8
Hence,
Area of box = 2(12 * 6) + 2(12 * 8) + 2(8 * 6)
Area of box = 2(72) + 2(96) + 2(48)
Area of box = 432 in²
Which equation is equivalent to 5x – 4y = 8?
Answer:
you got it right
Step-by-step explanation:
you mathaway to get the answer
1. The French Club will wash cars for $5 each to raise money for a trip to Quebec. Their profit is determined by taking this revenue and subtracting $15 for the supplies they purchased, and is modeled by the function p = 5C - 15, where c is the number of cars washed. If the French club can wash up to 5 cars in an hour, what is the range of the function for this situation?
A {0,1,2,3,4,5}
B 0 < c < 5
C -15 < p < 10
D { -15,-10,-5,0,5,10}
Answer:
p=5c-15=p=5×5-15 =-15<p>10
x^2/3=12
Plz I need help with this ASAP, it’s solving quadratic functions by square roots by the way
Answer:
this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).
Step-by-step explanation:
x^2/3 = 12
12 x 3 = 36
x^2 = 36
/36 = 6
x = 6
Step-by-step explanation:
explanation is on the picture
Each of the figures are similar. Find the missing length
Answer:
? = 7 m
Step-by-step explanation:
6/18= ?/21
18? = 126
? = 7
7 point
10 The designers of a new website expect
the number of visitors to the site to
double each month. There were 600 visits
to the site the first month. Which function
can be used to predict the number of
visitors during month m?
F v(m) = 6000
Gv(m) = 600(2)
H vim) = 600 (3)
) v(m) = 600(4)
need help
Answer:
J *JJJJJJJJJJJJJJJJJJJJ
A. X=1
B. X=2
C. X=3
D. X=4
E. X=5
F. X=6
Answer:
1.) 5
2.) 6
3.) 2
4.) 2
5.) 2
6.) 5
Identify the equation of the circle B that passes through (5,1) and has center (3,0).
Answer:
Are you saying look for the slope? because if so can help
Step-by-step explanation:
Answer: (x − 3)2 + y2 = 5
a. (x + 3)2 + y2 = 5
b. (x − 3)2 + y2 = 25
c. (x − 3)2 + y2 = 5
d. (x + 5)2 + ( y + 1)2 = 25
Step-by-step explanation:
Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.
r= √(x2 − x1)2 + (y2 − y1)2
Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.
r= √( 5− 3)2 + (1 − 0)2
= √22 + 12
= √4 + 1
= √5
So, the length of the radius is √5 units.
The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.
(x − 3)2 +(y − 0)2 = (√5)2
Simplify.
(x − 3)2 + y2 = 5 Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.
After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.
Using the box plot, determine the best measures of the data.
The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.
The number that best summarizes the data is (blank)
years of service.
The number that best describes how the data varies is (blank)
years of service.
Step-by-step explanation:
The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank
Please send the box plot, I can solve it then but there is not enough info right here. Sorry!
A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?
Answer:
25%
Step-by-step explanation:
So first, 5 answers is 50% of 10 questions
Then, if these problems have only 2 choices then 50%/2=25%
“Type your answer in the box below without units” HELPPPPP
Answer
each loaf cost $2 all you had to do was divided 24 and 12 and you get $2
Step-by-step explanation:
more of my brothers wwork for yalll have fun and tysm!
Answer:
i cant wait to start are life together, with are son. im so thankful for u becca. ily
Step-by-step explanation:
Johnny bought 10 cupcakes for 12 dollars, how much would 15 cost?
Answer:
18
Step-by-step explanation
10=12
must mean 5=6
12+6=18
15=18
18 dollars
he also has diabetes and drinks diet coke
Solve the system and find the values of x and y
Answer:
x = [tex]\frac{(a+b)}{2}[/tex]
[tex]y=\frac{a-b}{2}[/tex]
Step-by-step explanation:
System of equations has been given as,
x + y = a ----------(1)
x - y = b ---------(2)
By adding equation (1) and (2)
(x + y) + (x - y) = a + b
2x = a + b
x = [tex]\frac{(a+b)}{2}[/tex]
By substituting these values in equation (2),
x - y = b
[tex]\frac{a+b}{2}-y=b[/tex]
[tex]\frac{a+b}{2}-b=y[/tex]
[tex]\frac{a+b-2b}{2}=y[/tex]
[tex]\frac{a-b}{2}=y[/tex]
The meadian of 26 29 31 33 36
..................................................................
Natalie's aunt gave her $47 to spend on clothes at the mall. She bought 4 shirts that cost $4 each and a pair of pants that cost $13. How much money does Natalie have left to buy more clothes?
Answer:$18
Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18
Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done
Answer:
[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form
[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor
(c) The exponent of the simplified power is 3
Step-by-step explanation:
The original question is:
[tex]\frac{6^7}{6^4}[/tex]
Required
- Express the exponents in expanded form
- Divide common factors
We have:
[tex]\frac{6^7}{6^4}[/tex]
In indices:
[tex]x^2 = x * x[/tex]
So, the above expression becomes:
[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]
Divide the common factors, to give:
[tex]\frac{6^7}{6^4} = 6*6*6[/tex]
Express as an exponent
In indices;
[tex]x * x * x = x^3[/tex]
So, we have:
[tex]\frac{6^7}{6^4} = 6^3[/tex]
The simplified power is [tex]6^3[/tex] and 3 is the exponent
Deborah had 3 1/4 yards of ribbon she used 3/8 of a yard for a project how much ribbon does she have left
Write an expression for 213 increased by d.
Write an expression for 213 increased by d: [tex]213+d=x[/tex]
One side of a rectangle is 3 m more than the other. If the perimeter of the rectangle is 30 m, what are its dimensions? *
Answer:
the length— 6
width— is 9
Step-by-step explanation:
you said One side— 3m MORE
so we will consider the length Number as X
we will consider width As three plus X
- You want to know the Perimeter. So we have to
add.
— so the expression is 3+3+x+x+x+x = 30
it is then simplified to 6+4x= 30
then we should be able to find out the X which is 6
when we substitute the values with dimensions, you will get
your final Answer
I hope This Helped!
The scale on a map is 1in.=20mi. if the distance between two cities on the map is 2.5 inches how far apart are the actual cities?
Answer:
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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob
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▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.
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Step-by-step explanation:
Write the following expression using rational exponents. ^7√y^4= y^ The numerator of the exponent is Select a Value The denominator of the exponent is Select a Value.
Answer: The Numerator of The Exponent =4
The Denominator of The Exponent= 7
Step-by-step explanation:
Please help! For math.
Answer:
Soln:
x=64(vertically opposite angle)
x=64
Now,
y=18(vertically opposite angle)
y=18
Again,
y+z+x=180(being straight angle)
or,18+z+64=180
or,82+z=180
or,z=180-82
orz=98
Hence the value of x=64, y=18and z=98.
James is reading a book and noticed the page numbers are consecutive integers whose product is 1640. What is the value of the larger page number?
Answer:
41
Step-by-step explanation:
A pair of consecutive numbers is written as: N and N + 1
(where the larger page number is N + 1)
And we know that the product of these numbers is 1640.
Then:
(N)*(N + 1) = 1640
Solving for N, we get:
N^2 + N = 1640
N^2 + N - 1640 = 0
This is a quadratic equation, remember that for a general quadratic equation:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
In our case, the solutions are:
[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]
Then the two solutions are:
N = (-1 + 81)/2 = 40
N = (-1 - 81)/2 = -41
Because N represents the number on a page, it only can be a positive value, then we take the positive solution.
Then the two consecutive numbers, N and N + 1
are:
N = 40
N + 1 = 41
The value of the larger page number is 41.
