268 cm^2
Step-by-step explanation:
Find the SA of the purple rectangular prism:
LEFT FACE EXCLUDED
Front: (6)(2) = 12 cm^2
Back: 12 cm^2
Top: (7)(2) = 14 cm^2
Bottom: 14 cm^2
Right: (7)(6) = 42 cm^2
TOTAL: 94 cm^2
SA of the pink triangular prism:
RIGHT FACE EXCLUDED
Front: (1/2)(6)(8) = 24 cm^2
Back: 24 cm^2
Bottom: (7)(8) = 56 cm^2
Left: (10)(7) = 70 cm^2
TOTAL: 174 cm^2
Add both SAs of figures:
174 + 94 = 268 cm^2
55. (a) If alpha and beta are the roots of the equation xsquare+ px+q=0 and beta>alpha find the square of the
difference of the roots in terms of p and q.
Answer:
√(p²-4q)
Step-by-step explanation:
Using the Quadratic Formula, we can say that
x = ( -p ± √(p²-4(1)(q))) / 2(1) with the 1 representing the coefficient of x². Simplifying, we get
x = ( -p ± √(p²-4q)) / 2
The roots of the function are therefore at
x = ( -p + √(p²-4q)) / 2 and x = ( -p - √(p²-4q)) / 2. The difference of the roots is thus
( -p + √(p²-4q)) / 2 - ( ( -p - √(p²-4q)) / 2)
= 0 + 2 √(p²-4q)/2
= √(p²-4q)
You flip a coin and roll a six-sided die. What is the
probability of flipping heads and rolling a number greater
than or equal to 5?
Answer:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
Let me know if this helps!
Answer:
1/6
Step-by-step explanation:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
50 percent of 120 is the same as 80 percent of what number?
A) 42
B) 45
C) 48
D) 52
Answer:
75... but I don't see it down there
Step-by-step explanation:
equation:
0.5(120) = 0.8(x)
60 = 0.8x
60/8 = 0.1x
7.5 = 0.1x
x = 75
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Question 22 of 25
Use completing the square to solve this quadratic equation.
Check all that apply.
X^2-10x+25=2
Answer:
A and B
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this answer). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
How many number less than 300 is exactly divisible by 8, 12, 18?
Count how many multiples of 8, 12, or 18 there are in the range {1, 2, 3, …, 300}:
⌊300/8⌋ = 37
⌊300/12⌋ = 25
⌊300/18⌋ = 16
(where ⌊n⌋ denotes the floor of n, i.e. the largest integer that is smaller than n; for instance, 300/8 = 37.5, so ⌊300/8⌋ = ⌊37.5⌋ = 37)
Take pairwise LCMs, as well as the LCM of all three numbers:
LCM(8, 12) = LCM(2³, 2²×3) = 2³×3 = 24
LCM(8, 18) = LCM(2³, 2×3²) = 2³×3² = 72
LCM(12, 18) = LCM(2²×3, 2×3²) = 2²×3² = 36
LCM(8, 12, 18) = LCM(2³, 2²×3, 2×3²) = 2³×3² = 72
Count how many multiples there are of each of these LCMs that are less than 300:
⌊300/24⌋ = 12
⌊300/72⌋ = 4
⌊300/36⌋ = 8
Then, using the inclusion/exclusion principle, the number of numbers less than 300 that are exactly divisible by 8, 12, or 18 is
{multiples of 8} + {multiples of 12} + {multiples of 18}
- {multiples of 24} - {multiples of 72} - {multiples of 36}
+ {multiples of 72}
= 37 + 25 + 16 - 12 - 4 - 8 + 4 = 58
Question 9 (5 points)
3
6
9
--
What's the approximate measure of one interior angle of the regular polygon shown?
12
A) 1,620°
>
15
B) 220°
C) 2.7°
18
D) 147.3°
Answer:
147.3
Step-by-step explanation:
this is an hendecagon there is 11 sides the total interior measure is 1,620 if you divide that by each side which would be 11 you get 147.272727 which would ultimately round up to be 147.3
please help i need to finnish this!
Answer:
56
Step-by-step explanation:
f(x)=6*x^2+2 =6*3^2+2=56
Answer:
56
Step-by-step explanation:
6(x^2) + 2 = 0replace x = 3 => 6 x (3 ^ 2) + 2 = 56
3.
In each box there are 22 eggs. How many eggs do I have if I have 12 boxes?
Please someone explain
Triangles and angles
X=______ degrees
X 48
96
Exterior Angle property = sum of interior opposite angle is equal to the exterior Angle
x= 48+96
x= 144°
Answer:
144°
Step-by-step explanation:
x is an exterior angle of the triangle.
Angles 96° and 48° are interior angles of the triangle that are not adjacent to angle x. Angles 96° and 48° are called the "remote interior angles" of exterior angle x.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
x = 48 + 96
x = 144
Answer: 144°
If LM = 9x + 27 and RS = 135, find x.
Answer:
x=12
Step-by-step explanation:
LM = RS
9x+27 = 135
Subtract 27 from each side
9x+27-27 =135-27
9x=108
Divide each side by 9
9x/9 = 108/9
x = 12
the boxes are equivalent so the one with a single dash is equal to the other with a single dash.
the one with 2 dashes is equal to the other with 2 dashes so on and so forth
SR=LM
LM=9x+27
RS=135
9x+27=135
so I solve it in my own weird way but you can solve it differently. 135-27=108
108/9=12
so your answer is 12
What is the volume of this figure?
72 + 72 + 180 = 324³
^o^........
given graph of the function F(x) below, what happens to F(x) when x is a very large positive number?
Answer:
C
Step-by-step explanation:
Is (7,0) a solution to the equation y = x - 2?
Answer:
no
Step-by-step explanation:
because 7-7=0 and it doesn't subtract by 2
it is not equal to y=x-2
Answer:
no
Step-by-step explanation:
y = x-2
Let x = 7 and y=0
0 = 7-2
0 =5
This is not a true statement so (7,0) is not a solution
all sets to which the number 3/2 belongs.
1 rational numbers, real numbers
2 integers, rational numbers, real numbers
3 irrational numbers, real numbers
4 natural numbers, whole numbers, real numbers
Answer:
1
Step-by-step explanation:
as a fraction it is per definition a rational number.
and the real numbers are a superset of radical numbers.
but 3/2 is not a natural, integer or whole number, as they can all be written as numbers without digits after the decimal point.
and it is a a rational number not irrational, as that would be all numbers with digits after the decimal point, that cannot be expressed as fractions.
convert 3:4 to percentage
Answer:
[tex]75\%[/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \times 100\%[/tex]
100 is divided by 4, so you will get 25.
25 multiply 3, you will get 75%
So, the answer is 75%.
Answer:
Step-by-step explanation:
I'm not sure what you're asking for but I'll assume you mean what percentage is the three so:
There are 7 total parts bc 3 + 4 = 7.
3/7 is 42.857142857% repeating decimal
If you mean 3/4 then it's 75% bc 3/4 is 0.75
Can someone help me on these ones. PLEASE HELP ME !!
[tex]\huge\blue{ANSWER}:—[/tex]
Plz mark me as brainliest as I have solve all the questions for you
Answer:1 : x is 95/3
4 x is -32/10
7 b is 6
10 x is 20/7
13 x is 9/2
Step-by-step explanation:
Geometry, please answer question ASAP
Answer:
66
Step-by-step explanation:
since BD and BC are congruent, angle C and angle D are equal. this means 6x-9=3x+24. If you solve this equation you get x=11. If you plug it into either 6x-9 or 3x+24 you get 57. 180-(57+57)=66
what is the solution to the equation x² = 16?
Answer:
x = 4, x = -4
Step-by-step explanation:
Step-by-step explanation:
Move terms to the left side
2=16
x^{2}=16x2=16
2−16=0
Use the quadratic formula
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers
=0±82
2
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
=0+82
x= 0 + 8 over 2
=0−82 over 2
Rearrange and isolate the variable to find each solution
=4
x=4x=4
ans =−4
(3, -2) belongs to the solution set of the system of inequalities given below:
Answer:
T
Step-by-step explanation:
Substitute the x- coordinate into the right side of the inequality and compare the result to the y- coordinate.
[tex]\frac{1}{3}[/tex] (3) + 5 = 1 + 5 = 6
and - 2 < 6 ← True
2(3) + 1 = 6 + 1 = 7
- 2 < 7 ← True
Then (3, - 2) belongs to the solution set of the system
if A ={1,2,3,4} and B={3,4,5,6} find A-B.
Answer: {1,2} is the answer.
Step-by-step explanation:
A-B
{1,2,3,4}-{3,4,5,6)
= {1,2}
plz do this all plz
Answer:
I don't know search it up I picked B
okay it's 5 and I'm
The ratio of Mitchell's age to Connor's age is 8:5. In thirty years, the ratio of their ages will be 6:5. How much older is Mitchell than Connor now?
Answer:
9 years older
Step-by-step explanation:
The ratio of their ages is 8 : 5 = 8x : 5x ( x is a multiplier )
In 30 years their ages will be 8x + 30 and 5x + 30 and the ratio 6 : 5 , so
[tex]\frac{8x+30}{5x+30}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
5(8x + 30) = 6(5x + 30) ← distribute parenthesis on both sides
40x + 150 = 30x + 180 ( subtract 30x from both sides )
10x + 150 = 180 ( subtract 150 from both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Then
Michell is 8x = 8 × 3 = 24 years old
Connor is 5x = 5 × 3 = 15 years old
Mitchell is 24 - 15 = 9 years older than Connor
HELP PLEASE!!
Which best describes the relationship between the lines
with equations -3x – 4y = 1 and -6x – 8y = 2?
A. Perpendicular
B. Neither perpendicular or parallel
C. Parallel
D. Same line
Answer:
same line
Step-by-step explanation:
its the exact same equation, but the second is multiplied by 2
Circle experts...help! will give brainly to most detailed answer
Answer:
IU=161
Step-by-step explanation:
Angle Formed by Two Secants= 1/2 (difference of Intercepted Arcs)
42 = 1/2 (7m+5 - (3m-1))
Distribute the minus sign
42 = 1/2 (7m+5 - 3m+1))
Combine like terms
42 = 1/2 ( 4m+6)
Distribute the 1/2
42 = 2m+3
Subtract 3 from each side
42-3 = 2m+3-3
39 = 2m
Divide by 2
19.5 = m
The sum of the arcs = 360
IU+ 3m-1 + 7m+5 = 360
IU +10m+4 = 360
IU +10(19.5) +4 = 360
IU +195+4 = 360
IU = 360 - 199
IU=161
Kyrin picked 40 apples from the trees behind his house. Later, he gave two to each of his friends. He only has 8 remaining. How many friends does he have?
Answer:
kyrin had 16 friends
Step-by-step explanation:
40 - 2 (x) = 8 make x as friends
- 2x = 8 - 40
- 2x/ - 2 = - 32/ -2
x = 16
Solve for x.
X-4 = 8
*
3
Answer:
The answer is X=28.
PLS HELP ON THIS QUESTIN I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The bars in a _____________ do not touch since data is ______________.
A. bar graph ; continuous
B. bar graph ; discrete
C. histogram ; discrete
D. histogram ; continuous
Answer:
I believe it's D. histogram ; continuous
Step-by-step explanation:
what is the answer ,and how do you solve it .please help
Answer:
10
Step-by-step explanation:
2000/ 2x = 10
Multiply each side by 2x
2000/ 2x = 10 *2x
2000 = 20x
Divide by 20
2000/20 = 20x/20
100 = x
Take the square root of each side
sqrt(100) = sqrt(x)
10 = sqrt(x)
please help me, just give me the answers, my teacher likes it simple so just give me the answers pleease!!!
Answer:
1. Ans;
[tex] \frac{1}{3} \times 1 \frac{1}{3} = \frac{1}{3} \times \frac{4}{3} = \frac{4}{9} = 0.4 [/tex]
2. Ans ;
[tex]1 \frac{1}{5} \times \frac{3}{4} = \frac{6}{5} \times \frac{3}{4} = \frac{9}{10} = 0.9[/tex]
3. Ans ;
[tex] \frac{2}{3} \times 1 \frac{3}{5} = \frac{2}{3} \times \frac{8}{5} = \frac{16}{15} = 1 \frac{1}{15} = 1.06[/tex]
4. Ans ;
[tex]2 \frac{1}{2} \times 1 \frac{1}{3} = \frac{5}{2} \times \frac{4}{3} = \frac{10}{3} = 3 \frac{1}{3} = 3.3[/tex]
5. Ans ;
[tex]2 \frac{1}{2} \div \frac{4}{5} = \frac{5}{2} \div \frac{4}{5} = \frac{5}{2} \times \frac{5}{4} = \frac{25}{8} = 3 \frac{1}{8} = 3.125[/tex]
6. Ans ;
[tex]9 \div 1 \frac{1}{9} = 9 \div \frac{10}{9} = 9 \times \frac{9}{10} = \frac{81}{10} = 8 \frac{1}{10} = 8.1[/tex]
7. Ans ;
[tex]2 \frac{1}{2} \div 3 \frac{1}{3} = \frac{5}{2} \div \frac{10}{3} = \frac{5}{2} \times \frac{3}{10} = \frac{3}{4} = 0.75[/tex]
8. Ans ;
[tex]7 \frac{1}{2} \div 1 \frac{2}{3} = \frac{15}{2} \div \frac{5}{3} = \frac{15}{2} \times \frac{3}{5} = \frac{9}{2} = 4 \frac{1}{2} = 4.5[/tex]
I hope I helped you^_^
Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.
Answer: Interest rate she needs to look for is 5%
Step-by-step explanation:
P = 5000
A = 5000*2 = 10,000
T = 20 yrs
R = ?
now
I = A-P
I = 10,000-5000
I = 5000
Now
R = 100*I/P*T
R = 100*5000/5000*20
so, R = 5%