Find the following ratios. Write each answer as a fraction and as a decimal rounded to four decimal places.
Answer:
[tex]y = 56.6208[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find y
To find y, we make use of the relationship between sides lengths 44 & y and angle 39
The relationship is:
[tex]cos(39) = \frac{44}{y}[/tex]
i.e.
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
Make y the subject
[tex]y = \frac{44}{cos(39)}[/tex]
[tex]y = \frac{44}{0.7771}[/tex]
[tex]y = 56.6208[/tex] -- approximated
PLEASE SOMEONE HELP I WILL GIVE BRAINLIEST
(Look at the picture)
The similarity ratio of two similar triangles is equal to the ratio of their corresponding sides :
Similarity ratio = BA / GF = BC / GH = CA / HF
Similarity ratio = 18 / 9 = 14 / 7 = x / 6
x / 6 = 2
multiple sides by 6
6 × x / 6 = 6 × 2
simplification
x = 12
X Х C Department of Education Exit 13-2: Practice Buddy: Independent Practice; Problem Solving 13.2.IP-22 Diogo and his 4 friends want to share the cost of a meal equally. They order 2 large pizzas and 5 small drinks. If they leave a tip of $6.80, how much does each person pay?
Answer:they pay by yeezys
Step-by-step explanation:
Solving a word problem on proportions using a unit rate
Alonzo drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 469 miles?
Answer:
7 hours
Explanation:
Divide 5 and 335 then multiply by 469
because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles
5 / 339 × 469 =7 hours
Raja solved the inequality –3x – 5 ≤ 1. His work is shown below. Where did Raja make an error in his calculation? Explain.
Answer:
Raja made an error in d equality sign in d answer
Step-by-step explanation:
-3x< or =6
when dividing both sides by -(negative)3, the sign 4 d answer changes
x > or = -2
please help
Find the missing side of this right
triangle.
X
7
12
X
= [?]
Answer:
√193
Step-by-step explanation:
pathagorus theorem:
[tex]( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} [/tex]
hyp=x , base= 12 , perp= 7
subtitles all values in formula:
we get
x^2 = 12^2 + 7^2
x^2 = 144 +49
x= √193
The missing side of this right triangle is, 13.90 units.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The base of the triangle = 12
The perpendicular distance of the triangle = 7
Now, We know that;
Pythagoras theorem stated as;
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ x² = 12² + 7²
⇒ x² = 144 + 49
⇒ x² = 193
⇒ x = √193
⇒ x = 13.90
Thus, The missing side of this right triangle is, 13.90 units.
Learn more about the triangle visit;
brainly.com/question/1058720
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Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6% per year. How much is invested at each rate?
Answer:
The correct answer is "$5000".
Step-by-step explanation:
The given values are:
Two investments totaling,
= $47,500
Annual income,
= $3000
One investment yields per year,
= 9%
Other yield,
= 6%
Let,
The amount invested in 9% will be "x".The amount invested in 6% will be "[tex]47,500-x[/tex]".Now,
⇒ [tex]0.09x+0.06(47,500-x)=3000[/tex]
⇒ [tex]0.09x+2850-0.06x=3000[/tex]
⇒ [tex]0.03x+2850=3000[/tex]
⇒ [tex]0.03x=150[/tex]
⇒ [tex]x=\frac{150}{0.03}[/tex]
⇒ [tex]x=5000[/tex]
x = -3.
3.2 2 - 16=(x-1)=?
Answer:
dvide it
Step-by-step explanation:
if an angle measures 18° what is the measure of its complement
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
Complement Angle = 90°= 90 - 18
= 72
--> 72° is the complement angle of 18°
Hope it helps!
mark me brainliest pls.....
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Tutoring Question Help
A person is taking a 5-question multiple-choice test for which each question has three answer choices, only one of which is correct. The person decides on answers by
rolling a fair die and marking the first answer choice if the die shows 1 or 2 the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability that the
person gets fewer than 3 correct answers.
The probability that the person gets fewer than 3 correct answers is
(Round to three decimal places as needed.)
For what values of x is the perimeter of the figure greater than 112 meters?
Select the correct choice below and fill in the answer box to complete your choice.
Answer:
John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? vv
Step-by-step explanation:
A can of juice has a radius of 4 inches and a height of 7 inches. What is the volume of the can?
Round your answer to the nearest tenths place.
Answer:
351.7
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
V = 3.14(4²)(7)
V = 3.14(16)(7)
V = 50.24(7)
V = 351.68
Rounded to the nearest tenth:
351.7
what is 10 / 2 + (2x4) -3 ?
Answer:
10
Step-by-step explanation:
10 / 2 = 5
(2x4) = 8
(5 + 8) - 3
13 - 3
10
Answer:
10
Step-by-step explanation:
5+8-3=10
Find the 70th term of the arithmetic sequence 29, 17, 5
Answer:
857
Step-by-step explanation:
70th term = a + d(n-1)
d= 29-17=12
a=29
n-1 = 69
70th term = 29 + 12×69
= 29 + 828
= 857
Steve's mom gave him $20.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?
In AFGH, FG – HF and mZF = 56°. Find m_H.
Answer:
m<H = 62°
Step-by-step explanation:
If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.
Given that m<F = 56°, therefore:
56° + 2(m<H) = 180° (sum of triangle)
2(m<H) = 180° - 56°
2(m<H) = 124°
m<H = 124/2
m<H = 62°
A company that manufactuers small canoes has a fixed cost of $14,000. It cost $40 to produce each canoe. The selling price is $80 per canoe
Answer:
The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Step-by-step explanation:
Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:
14/000 / 40 = X
350 = X
350 x 80 = 28,000
Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Identify the terminal point for a 45° angle in a unit circle.
9514 1404 393
Answer:
(x, y) = ((√2)/2, (√2)/2))
Step-by-step explanation:
See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
Any help with this question please?
Consider this equation.
c = ax – bx
Joseph claims that if a, b, and c are non-negative integers, then the equation has exactly one solution for x. Select all cases that show Joseph’s claim is incorrect.
A. a – b = 1, c ≠ 1
B. a = b, c = 0
C. a ≠ b, c = 0
D. a – b = 1, c = 0
E. a = b, c ≠ 0
Answer:
B.a=b, c≠0
C.a=b, c=0
D.a-b=1, c≠1
Step-by-step explanation:
The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x
Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.
A
a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0
B
a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.
C
This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.
D
Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.
E
Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.
From the above, the answer to the question is choices B, C, and D
Can someone please help me with this!
Answer:
It's Positive
Step-by-step explanation:
X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904
Which category do both of these shapes belong to
Answer:
D. Parallelogram
Step-by-step explanation:
Answer:
The answer is Parallelgram(D)
two pairs of parallel sides in a quadrilateral
hope it helps...
1. Simplify the expression below.
2(x + 2) + 3(-x-7) -5 ( 2x - 4)
Answer: -11x+15
Step-by-step explanation: distributed property: 2x+2-3x-7-10x+20, -11x+15
Solve the following equation: *
Answer:
Step-by-step explanation:
x/3 + 6 = 17
Bringing like terms on one side
x/3 = 17 - 6
x/3 = 11
Dividing by 3 on both sides
x = 11/3
Pls answer just the answer
Answer:
588000
Step-by-step explanation:
if i am wrong pls tell me cause i think there's a different answer gl g
Answer:
$103,421.88
Step-by-step explanation:
Given:
P = 70000
r = 0.05
n = 1
t = 8
Work:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=70000(1+\frac{0.05}{1} )^{1*8}\\\\A=70000(1.05)^8\\\\A=103421.88[/tex]
help please i need it asap
the area of a rectangle with a height of 2 and a width of 5x^2-2x+3
Answer:
Area is 10x^2 - 4x + 6
Step-by-step explanation:
To find this area, multiply the width and height together:
(5x^2 - 2x + 3)(2) = 10x^2 - 4x + 6
how can I subtract 4/3 - 1/3
Answer:
1
Step-by-step explanation:
Since they have the same denominator, it would be:
[tex]\frac{4}{3}-\frac{1}{3}=\frac{4-1}{3} =\frac{3}{3}=1[/tex]
these questions seem harder than usual im sorry for the bother
Answer:
A
Step-by-step explanation:
