Answer:
5/4
Step-by-step explanation:
[tex] \frac{10}{12} \div \frac{4}{6} \\ \\ = \frac{10}{12} \times \frac{6}{4} \\ \\ = \frac{5}{2} \times \frac{1}{2} \\ \\ = \frac{5}{4} [/tex]
Find the area of the triangle below.
Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth.
The area of the triangle is the amount of space on it.
The area of the triangle is 85.5 square yard
How to determine the area of the triangle?The given parameters are:
a = 12 yd
b = 16 yd
c = 15 yd
Start by calculating the semi-perimeter (s)
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (12 + 16 + 15)
s = 21.5
The area of the triangle is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{21.5 * (21.5 - 12) * (21.5 - 16) * (21.5 - 15)[/tex]
Evaluate the product
[tex]A = \sqrt{7301.9375[/tex]
Evaluate the square root
A = 85.5
Hence, the area of the triangle is 85.5 square yard
Read more about areas at:
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Describe the transformations necessary to transform the graph of f(x) into that of g(x)
Choose an option
SHOW YOUR WORK
Answer:
C)
Step-by-step explanation:
[tex]\sqrt{x}[/tex] : original function
[tex]\sqrt{-x}[/tex] : reflect across the y-axis
[tex]\sqrt{-\dfrac13x}[/tex] : horizontal stretch by a scale factor of 3
[tex]\sqrt{-\dfrac13(x-3)}[/tex]: translate right 3 units
f(x) : original function
f(-x) : reflection over y-axis
f(ax) : horizontal stretch of the graph by a scale factor of 1/a
f(x - a) : horizontal translation right a units
After changing its format, a radio station lost 34% of its listeners. If there were an estimated 83,000 listeners originally, how many listeners does the radio station have now
Can anyone help I would really appreciate it I’m failing everything and need a boost
Answer:
2,870 and 30
Step-by-step explanation:
one shirt and one pair of pants costs $50.00. three shirts and 2 pairs of pants cost $120. how much is a shirt?
one shirt is for $25 so multiple that by 3 and get $75
3x + 7 = 23 - 5x
I need sum help plz!!
Answer:
x=2
Hope this helps! :)
3x+5x=8x
23-7=16
16÷8
Answer:
x = 2
Step-by-step explanation:
3x + 7 = 23 - 5x
3x + 5x = 23 - 7
8x = 16
x = 2
6/9x45 in simplest form?
Answer:
Step-by-step explanation:
6/9 x 45 = 2/3 x 45 = 30
[tex] \frac{2}{3} \times 45 = 30[/tex]
Pls help: √5 multiplied by √245
I believe it is 35!
I hope this helps you, and don't forget to give this answer brainliest if it really helped!
how would you find the equation if each copy of a book costs 18$ and shipping is 9$ per order
Answer:
18x + 9
Step-by-step explanation:
PLEASE HELP PLEASE!!
A circular garden has a diameter of 4 m. What is the area of the garden? Use 3.14 for TT.
help fastttt!!!!! brainliest to first
Answer:
i believe it's actually the fourth option: lines e and f are parallel bc their same side exterior angles are supplementary
Step-by-step explanation:
its part of a theorem you learn, don't remember exactly (haven't taken geo in like 2 years lol)
Answer:
i believe it shud be c
Step-by-step explanation: it really doesn't proof that for a and be the corresponding angles are congruent..
Hope this is correct!!
graph the linear function w(x) =3/5x+2
Answer:
Use Desmos.com. It is a site that can graph basically anything you want.
Step-by-step explanation:
Math homework
Feet=9yards
Answer:
27 feet
Step-by-step explanation:
We know that 3 feet = 1 yard. So, multiply 9 by 3 and you get 27 feet. Hope this helps!
I need help with this pls
Answer:
Step-by-step explanation:
1) Parallelogram ABCD, E is the midpoint of [tex]\overline{DC}[/tex], F is the midpoint of [tex]\overline{AB}[/tex] (given)
2) [tex]DE=\frac{1}{2}DC, BF=\frac{1}{2}AB[/tex] (When a segment is bisected, each part is half the length of the whole segment)
3) [tex]\overline{DC} \cong \overline{AB}[/tex] (opposite sides of a parallelogram are congruent)
4) [tex]DC=AB[/tex] (congruent segments have equal measure)
5) [tex]DE=BF[/tex] (substitution)
6) [tex]\overline{DE} \cong \overline{BF}[/tex] (segments with equal measure are congruent)
7) [tex]\angle D \cong \angle B[/tex] (opposite angles of a parallelogram are congruent)
8) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)
9) [tex]\triangle ADE \cong \triangle CBF[/tex] (SAS)
10) [tex]\overline{AE} \cong \overline{CF}[/tex] (CPCTC)
Equation - 120n-150=45n
Answer:
1.) 75
2.) 75
3.) 2
Step-by-step explanation:
120n-150=45n
add 150 to both sides
120n=45n+150
subtract 45n from both sides
75n=150
divide by common number, since 75 is half of 150, use 75.
n=2
Two more than three times a number is 65. Find the number.
The number is
Help pls i will give brainliest for correct answer
Answer:
x = 0
I hope this helps!
Solve this equation
(3m⁴)²
Answer:
9m⁸
Step-by-step explanation:
3^2=9
(m⁴)² = m⁸
9*m⁸
Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’
Answer:
n² -10 = 6
Step-by-step explanation:
If n represents a positive number, then "the square of a positive number" is represented by n². When that value is decreased by 10, it becomes ...
n² -10
and if that value is 6, the math expression is ...
n² -10 = 6
__
Additional comment
Increasing the value by 10 gives ...
n² = 16
and taking the positive square root gives us the value of the number:
n = √16 = 4
in this question we have to multiply 4 with 4 then we have to minus 16 with 10 we get the answer 6
so, first we have to multiply the 4 with 4= 4 × 4 = 16
then, we have to minus 16 with 10 we get :-= 16 - 10
we get :-= 6
in this question we have get 16 because √16 is the square root of 4Solve. . m - 15 - 20 m =
Help help math math ASAP ASAP
Answer:
[tex]\displaystyle y = 4x + 12[/tex]
Step-by-step explanation:
−4x + y = 12
+ 4x + 4x
_________
[tex]\displaystyle \boxed{y = 4x + 12}[/tex]
I am joyous to assist you at any time.
What is the ratio 0.45 to 1.35 as a simplified fraction?
Solution:
Given ratio: [tex]0.45:1.35[/tex]
Multiply both sides by 100:
[tex]0.45:1.35[/tex]
[tex]\rightarrow 0.45 \times 100:1.35 \times 100[/tex]
[tex]\rightarrow 45:135[/tex]
Convert the ratio into a fraction:
[tex]\rightarrow 45:135 = \dfrac{45}{135}[/tex]
Simplify the fraction:
[tex]\rightarrow \dfrac{45}{135} = \dfrac{45 \div5}{135 \div 5} =\dfrac{9}{27} = \dfrac{9 \div 9}{27 \div 9} = \dfrac{1}{3}[/tex]
The simplified fraction representing the ratio 0.45 to 1.35 is 1/3.
To express the ratio 0.45 to 1.35 as a simplified fraction, we can divide both numbers by their greatest common divisor (GCD) to simplify the ratio. In this case, the GCD of 45 and 135 is 45.
So, divide both numbers by 45:
0.45 ÷ 45 = 0.01
1.35 ÷ 45 = 0.03
The simplified ratio is 0.01 to 0.03. To make it an integer ratio, we can multiply both parts by 100:
0.01 * 100 = 1
0.03 * 100 = 3
So, the simplified fraction representing the ratio 0.45 to 1.35 is 1/3.
To know more about fraction:
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Find the measure of the missing angle.
Answer:
36 degrees
Step-by-step explanation:
The whole shape is 90 degrees.
90 - 54 = 36
36 degrees
Answer:
36*
Step-by-step explanation:
a right angle is 90* and so you do
90-54=36
meaning your missing angle is 36*
Evaluate f (x) = 3x – 5 when x = -1, x = 0, and x = 3.
When x = -1, f (x) = –2 , when r = 0, f (x) = -5), and when x = 3, f (x) = 4).
f(x) = 3x − 5 when x=−1, x=0, x=3
Answer:
-8, -2, 4
Step-by-step explanation:
1. Insert -1, 0, and 3 into x
2. Solve
Replace x with -1: f(-1) = 3(-1) − 5
Multiply 3(-1): f(-1) = -3 − 5
Subtract by 5: f(-1) = -8
The answer is -8
Now do this for the rest of the problems:
f(0) = 3(0) − 5 when x=−1, x=0, and x=3
-2 is the 2nd answer
f(3) = 3(3) − 5 when x=−1, x=0, and x=3
4 is the 3rd answer
This is my first answer, so I hope I explained it well!
Match each complex number with its equivalent expression.
i
-1
1
-i
i^48
i^223
i^113
i^82
Remember that i = √(-1), so that
• i ² = -1,
• i ³ = i x i ² = i x (-1) = -i
• i ⁴ = i x i ³ = i x (-i) = -i ² = -(-1) = 1
Multiplying by i again gives i ⁵ = i and the cycle starts over.
The main observation to make here is that raising i to any multiple of 4 returns 1. So,
i ⁴⁸ = (i ⁴)¹² = 1¹² = 1
i ²²³ = i ²²⁰⁺³ = i ²²⁰ x i ³ = (i ⁴)⁵⁵ x i ³ = 1⁵⁵ x (-i) = -i
i ¹¹³ = i ¹¹²⁺¹ = i ¹¹² x i = (i ⁴)²⁸ x i = 1²⁸ x i = i
i ⁸² = i ⁸⁰⁺² = i ⁸⁰ x i ² = (i ⁴)²⁰ x i ² = 1²⁰ x (-1) = -1
i^48 = 1
i^223 = -i
i^113 = i
i^82 = -1
Jayla buys and sells vintage clothing. She bought two blouses for $25.00 each and later sold them for $38.00 each. She bought three skirts for $15.00 each and later sold them for $26.00 each. She bought five pairs of pants for $30.00 each and later sold them for $65.00 each.
Jayla’s expenses for purchasing the items were
Jayla’s revenue from the sale of the items was
Jayla’s total profit was
Answer:
Jayla's expenses are: $245.00
Jayla's revenue from the sales are: $479.00
Total profit: $234.00
------------------------------------------
Hope this helps! This should be correct !
Answer:
- $245
+ $479
+ $234
Step-by-step explanation:
expenses : (25 x 2) + (15 x 3) + (30 x 5) = 50 + 45 + 150 = 95 + 150 = $245
revenue : (38 x 2) + (26 x 3) + (65 x 5) = 76 + 78 + 325 = 154 + 325 = $479
total profit : 479 - 245 = $234
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long. How much longer is he guinea pig than her fish.
Answer:
The guinea pig is 210 millimeters longer than the fish.
Step-by-step explanation:
GIVING BRAINLIEST
Madeline bought a hybrid car that averages 46 miles per gallon. How much gas will she need for a 350-mile trip? Select the equation and the solution (2 answers).
Group of answer choices
350 x 46 = n
46n = 350
approximately 7.61 gallons
approximately 8.75 gallons
Answer:
7.61 gallons.
Step-by-step explanation:
you take the 46, and you divide on both sides. 350÷46= approximately 7.61 gallons.
Answer the following question below
Answer:
11/6
Step-by-step explanation:
2x/3 = 1/2
Cross multiply, get 4x = 3, x = 3/4
3y/4 = 3/2
Cross multiply, get 6y = 12, y = 2
x + y = 3/4 + 2 = 11/4
xy = 3/4 * 2 = 3/2
(x + y)/(xy) = (11/4)/(3/2) = 11/4 * 2/3 = 22/12 = 11/6
The overall pass rate for law school graduates taking the Maryland bar exam has been reported as 76%. Assume that a certain Maryland law school has had 400 of its most recent graduates take the Maryland bar exam, but only 60% passed. When asked about these results, the dean of this university’s law school claims his graduates are just as good as others who have taken the Maryland bar exam, and the low pass rate for the recent graduates was just "one of those statistical fluctuations that happen all the time." If this university’s overall pass rate were really 76%, what would be the probability of a simple random sample of 400 having a pass rate of 60% or less
Answer:
The probability is [tex]P(X \le 0.60) = 0.000 [/tex]
Step-by-step explanation:
From the question we are told that
The overall pass rate is [tex]R = 76\% = 0.76[/tex]
The sample size is n = 400
The percentage that passed is [tex]k = 60\% = 0.60[/tex]
Generally the standard error is mathematically represented as
[tex]\sigma _{\= x } = \sqrt{\frac{R (1 -R)}{n} }[/tex]
=> [tex]\sigma _{\= x } = \sqrt{\frac{0.76 (1 -0.76)}{400} }[/tex]
=> [tex]\sigma _{\= x } = 0.0214 [/tex]
Generally the probability of a simple random sample of 400 having a pass rate of 60% or less is mathematically represented as
[tex]P(X \le 0.60) = P(\frac{X - R}{ \sigma_{\= x}} \le \frac{0.60 - 0.76}{0.0214} )[/tex]
=> [tex]P(X \le 0.60) = P(Z \le -7.48 )[/tex]
Generally from the z-table
[tex]P(Z \le -7.48 ) = 0.000[/tex]
So
[tex]P(X \le 0.60) = 0.000 [/tex]