Answer:
Area = 142 cm^2, Volume = 105 cm^3
BRAINLIEST, PLEASE! (ALMOST AN ACE!)
Step-by-step explanation:
Area: lb + bh + lh
l = 7, b = 5, h = 3
2((7)(5) + (5)(3) + (7)(3))
2(35 + 15 + 21)
2(50 + 21)
2(71)
142 cm^2
Volume: lbh
l = 7, b = 5, h = 3
(7)(5)(3)
35(3)
105 cm^3
What is the measure of angle A?
Select the best answer from the choices provided.
A.26°
B.32°
C.64°
D.78°
Angle B is 90 degrees so angle A and c when added also equal 90:
7x + 8 + 3x + 2 = 90
Simplify:
10x + 10 = 90
Subtract 10 from both sides
10x = 80
Divide both sides by 10
X = 8
Now you have x calculate angle A:
7x + 8 = 7(8) + 8 = 56 + 8 = 64
Answer: C. 64
Answer:
C
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , so
7x + 8 + 3x + 2 + 90 = 180 , that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Then
∠ A = 7x + 8 = 7(8) + 8 = 56 + 8 = 64° → C
C^-24 times c^9 times c^-87 answer using positive exponents
Answer:
1/c^102
Step-by-step explanation:
C^-24 * c^9 * c^-87
When we multiply exponents with the same base, we add the exponents
c^(-24+9+-87)
c^(-102)
We know that a^-b = 1/a^b
1/c^102
Answer:
Step-by-step explanation:
[tex]a^{m} *a^{n} = a^{m+n}\\\\\ a^{-m}=\dfrac{1}{a^{m}}\\\\\\c^{-24}*c^{9}*c^{-87}=c^{-24+9-87}\\\\=c^{-102}\\\\=\dfrac{1}{c^{102}}[/tex]
Ella invests 4000 dollars for 3 years a rate of 1.2% per year compound interest. Calculate the value of her investment at the end of the 3 years.
Answer:
Answer is $4145.6
Step-by-step explanation:
formular for compound interest:
[tex]{ \bf{A = P( \frac{r}{100} + 1) {}^{n} }}[/tex]
P is the principle, P = $4000
r is rate, r = 1.2%
n is period, n = 3 years
A is the accumulative amount.
substitute:
[tex]{ \sf{A = 4000( \frac{1.2}{100} + 1) {}^{3} }} \\ \\ { \sf{A = 4000 \times 1.0364}} \\ { \sf{A = 4145.6 \: dollars}}[/tex]
how many axes of symmetry does a square have
Answer:
four lines axes of symmetry does a square have
help!! i really don’t know how to do this!!
Pls help me in this my math exam is Tom and I wanna know how to solve theese
Step-by-step explanation:
[tex]thank \: you[/tex]
if this trapezoid is moved through the translation (x+3,y-2) what will the coordinates of B` be
Answer:
-2, 2
Step-by-step explanation:
if a=3x and b = 3x-4i, find the value of a3b In fully simplified form
Someone please help.
Hi there!
[tex]f(x)+f(x+1)=4f(x)[/tex]
There are 3 parts to this equation:
f(x)
f(x+1)
4f(x)
We must first determine these three parts separately.
1) f(x)
We're given that [tex]f(x)=3^x[/tex]:
⇒ [tex]f(x)=3^x[/tex]:
2) f(x+1)
Now, we must find f(x+1). To do so, add 1 to x in the original function [tex]f(x)=3^x[/tex]:
⇒ [tex]f(x+1)=3^x^+^1[/tex]
3) 4f(x)
To find 4f(x), multiply the original function [tex]f(x)=3^x[/tex] by 4:
[tex]4f(x)=4*3^x[/tex]:
4) Put it all together
Now, plug each of the three parts into the equation [tex]f(x)+f(x+1)=4f(x)[/tex]:
[tex]f(x)+f(x+1)=4f(x)[/tex]
[tex]3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x[/tex]
Factor the left side
[tex]3^x*(1+3)=4*3^x[/tex]
Divide both sides by 3^x
[tex]1+3=4\\4=4[/tex]
Because this equation is true, [tex]f(x)+f(x+1)=4f(x)[/tex] is therefore true.
I hope this helps!
The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of the resulting rectangle is 24 square inches. What is the area of the original rectangle?
ty<3
[tex]thank \: you[/tex]
A wedding planner uses 72 ivy stems for 18 centerpieces. When sh arrives at the venue , she realizes she will only need 16 centerpieces. How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same ?
Answer:
64 ivy stems
Step-by-step explanation:
72 ivy stems / 18 centerpieces = 4 ivy stems / 1 centerpiece
Create an equation with x being the amount of ivy stems needed.
x / 16 = 4
x = 64
5.
A bank statement shows transactions of -$10.40 and $8.50.
A. Do these transactions represent deposits or withdrawals?
Plz help
A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)
-10.40 is a withdrawal
8.50 is a deposit
Answer:
Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.
-10.40
See there is a negative sign. This means it is a withdrawal
8.50
See there is a positive sign. This means it is a deposit
Which of the choices shows these values arranged from greatest to
least?
.68% 2.43
12/6 2 over -3
Answer:
vdffdersewsesdfdresweseseseeerswesdsfd
Step-by-step explanation:
reterersesdvbvfdderereerereeeewwqwewereddddscdcvvbvfddewww
which expression is equivalent to 2•2 3 •8
Answer:
2^7
Step-by-step explanation:
2 * 2^3 *8
Rewriting 8
8 = 2^3
2 * 2^3 * 2^3
We know that a^b * a^c = a^(b+c)
2^1 * 2^3*2^3
2^(1+3+3)
2^7
42.3952 to the nearest thousandths
Answer:
42.395
Step-by-step explanation:
Find the sum Sn of the first n terms from the given sequence.
1, 1+2, 1+2+3, 1+2+3+4, ...
Please show your work and use Sigma Notation too. Thank you!
The Sequence:
1 , 1+2 , 1+2+3 , 1+2+3+4, ...
here, every term is an AP. finding the general formula for the sum of the elements of each term is:
Sₙ = [tex]\frac{x}{2}(2a + (x-1)d)[/tex] [where x = number of term, a = first term and d = common difference]
here, the first term is always 1 and so is the common difference.
Sₙ = [tex]\frac{x}{2}(2 +x-1)[/tex]
Sₙ = [tex]\frac{x}{2}(1 +x)[/tex] = [tex]\frac{1}{2}(x + x^{2})[/tex]
which is the formula for a general term in our series
now, we need to find the sum of the first n terms of this series
[tex]\displaystyle\sum_{x=1}^{n} [\frac{1}{2}(x + x^{2})][/tex]
[tex]\displaystyle\frac{1}{2} [\sum_{x=1}^{n} (x) + \sum_{x=1}^{n}(x^{2})][/tex]
in this formula, for the first term, it's just an AP from x = 1 to x = n
for the second term, we have a general formula [tex]\frac{n(n+1)(2n+1)}{6}[/tex]
[tex]\frac{1}{2}[\frac{n}{2}(2a + (n-1)d)+ \frac{n(n+1)(2n+1)}{6} ][/tex]
in this AP (first term), the first term and the common difference is 1 as well
[tex]\frac{1}{2}[\frac{n}{2}(2 + n-1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]
[tex]\frac{1}{2}[\frac{n}{2}(n+1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]
[tex][\frac{n}{4}(n+1)+ \frac{n(n+1)(2n+1)}{12} ][/tex]
[tex]\frac{n}{4}(n+1) [1+\frac{(2n+1)}{3} ][/tex]
[tex]\frac{n}{4}(n+1) [\frac{(3+2n+1)}{3} ][/tex]
[tex]\frac{n}{4}(n+1) [\frac{(2n+4)}{3} ][/tex]
[tex]\frac{n}{2}(n+1) [\frac{(n+2)}{3} ][/tex]
[tex]\frac{n(n+1)(n+2)}{6}[/tex]
which is the sum of n terms of the given sequence
3/4x + 4/7y = 5/4x -1...solve for y
Answer:
[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]
I hope I helped you^_^
To verify Pythagoras theorem.
Answer:
The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).
(7x2 - 2x - 5)(3x2 + 2x - 3)
Answer:
21x4 + 8x3 - 40x2 + 15
Step-by-step explanation:
expand using distributive property.
can anyone help me please on this function.
USE (m a t h w a y) its real easy to use
Step-by-step explanation:
Define the domain and range of the function and state whether it is one-to-one, onto, both or neither.
Answer:
Neither
Step-by-step explanation:
R is between Q and S. If QR = 33.4 and SQ = 80, find RS.
Hi! I'm happy to help!
To solve this problem, we need to find out what part isn't already listed.
We know that The entire line (SQ) is 80, and the part of the line that isn't RS (QR) is 33.4. The rest of the line must be the difference between 80, and 33.4. To find the difference we use subtraction:
80-33.4
44.6
So, RS is 44.6
I hope this was helpful, keep learning! :D
The calculated length of the segment RS is 46.6
How to determine the length of the segment RSFrom the question, we have the following parameters that can be used in our computation:
R is between Q and S.
QR = 33.4 and SQ = 80
using the above as a guide, we have the following:
QR + RS = QS
substitute the known values in the above equation, so, we have the following representation
33.4 + RS = 80
So, we have
RS = 80- 33.4
Evaluate
RS = 46.6
Hence. the length of the segment RS is 46.6
Read more about side lengths at
https://brainly.com/question/29135476
#SPJ3
can any one solve this please....I kinda need this
9514 1404 393
Answer:
t₂ = 2t₃ = 2Step-by-step explanation:
The given expression says ...
[tex]t_n+1=3\\\\t_n=2\qquad\text{for any value of n}\\\\t_2=2\\\\t_3=2[/tex]
Answer:
[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ n = 2 \\ t2 = 2 \\ n = 3 \\ t3 = 2 \\ for \: all \: n \: values \: = 2 \\ thank \: you[/tex]
what is the opposite of
A) 7 & B) -3
A -7 , -3
B -7 -3
C -7 , 3
D 7 , 3
if you rolled a die what is the probability that you would roll a 4 or 5
Answer:
1/3
a dice has 6 sides and the probability of getting 4 or 5 is just 2/6 which simplifies to 1/3
Melany wants to hang a canvas, which is 8 feet wide, on his wall. Where on the
canvas should Melany mark the location of the hangers if the canvas requires a
hanger every 1/5 of its length, excluding the edges? Justify your answer.
The length of the canvas where Melany will mark the position of the hanger is 1.6 feet.
The given parameters:
length of the canvas = 8 feet
dimension of the hanger = [tex]\frac{1}{5} \ of \ the \ shoe's \ length[/tex]
To find:
the length of the canvas where Melany will mark the position of the hanger.The length of the canvas where Melany will mark the position of the hanger is calculated as follows:
[tex]location \ of \ the \ hanger = \frac{1}{5} \times 8\ ft\\\\location \ of \ the \ hanger = 1.6 \ ft[/tex]
Thus, the length of the canvas where Melany will mark the position of the hanger is 1.6 feet.
Learn more here: https://brainly.com/question/17765207
Find the exact solution of -x^2+3x+7=0 by using the Quadratic Formula?
Subtract. − 11 − ( − 6) brainliest
Answer:
-5
Step-by-step explanation:
− 11 − ( − 6)
= -11 + 6
= -5
Answer:
-5
Step-by-step explanation:
-11-(-6)
-11--6
NB: --=+
-11+6
-5
Therefore, the answer is -5.
Find the value, n(A), if n(B)=33, n(A intersectionB)=12 and n(A union B) =59
Answer:
38
Step-by-step explanation:
nAuB=nA+nB-nA∩B. take nA as x
now substitute
59=x+33-12
59=x+21
x=59-21
x=38
I need help With math
Answer:
Step-by-step explanation:
0.919191....It can be represented as a fraction. You can always make repeating decimals into fractions.
It does not terminate. 91 will go on forever. It's a repeating decimal
We don't know what the second one does. You are likely not supposed to say it repeats; it certainly does not terminate. It cannot be made into a fraction.
0.555 This terminates. It can be written as a fraction.
It can be written as a fraction. It repeats. It contains a repeating decimal which can always be written as a fraction.