Answer:
The answer is 37
if 50% is 30 what is 75%
Answer:
[tex]50\% = 30 \\ 70\% = x \\ \\ 50\%x = 30 \times 70\% \\ x = \frac{30 \times 70\%}{50\%} \\ x = 42 \\ hence \: 70\% \: is \: 42[/tex]
A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?
Step-by-step explanation:
Given:length of ladder =5 m
Angle formed = 65°
Let h be the Height of the top of the ladder from the ground
Required:Height of the top of the ladder from the ground
Equation:SOH-CAH-TOA
Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH
[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]
[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]
[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]
[tex]opposite\:=\:4.53 \:m[/tex]
Final Answer:The height of the top of the ladder from the ground is 4.53 mPlease refer to the photo for the illustration
A field is a rectangle with a perimeter of 1060 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field
The width of the rectangular field is
Answer:
W: 65 ft.
L: 465ft.
Step-by-step explanation:
65+65+465+465=1060
what is the quotient? can someone please help.
Answer:
-3
Step-by-step explanation:
hope this helps
- 4+-3 - (-11) =
O
O 10
0-18
04
Tom enjoys going to the hardware store. In the past three
weeks, he has spent a total of $85.84 on a hammer, nail
gun, and box of nails. What amount shows his average
spending per week?
A) $14.31
B) $28.61
C) $69.93
D) $85.84
Answer:
B) $28.61
Step-by-step explanation:
Average spending per week:
85.84 ÷ 3 ≈ 28.61
estimate the quotients 6.15 ÷ 31
1. Angle 3 and Angle 6 are examples of which type of angle pair?
1.) Given : S is the midpoint of RT; PR = PT
Prove : PRS = PTS
2.) Given : E is the midpoint of AB and CD
Prove: AEC=BED
Answer: 1.
Given: S is the midpoint of RT
PR=PT
To Prove: PRS=PTS
Step-by-step explanation:
If PR=PT in a triangle PRT, then the triangle is isosceles triangle.
Therefore, ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)
In ▲PRS and ▲PTS
PR=PT
∠PRT=∠PTR
PS=PS (PS is common)
therefore, ▲PRS≅▲PTS
Therefore, ∠PRS=∠PTS
Hence proved.
Answer: 2.
Given: E is the midpoint of AB and CD.
To Prove: AEC=BED
Step-by-step explanation:
If AB and CD are the diagonals of rectangle, then
diagonals AB=CD, sides AC=BD and AD=BC
In ▲AEC and ▲BED,
∠AEC=∠BED(vertically opposite angles)
AE=BE
AC=BD
therefore, ▲AEC≅▲BED
Therefore, ∠AEC=∠BED
Hence Proved.
The proofing of each part should be explained below.
Prove:a.
In the case when
PR=PT in a triangle PRT,
So the triangle is an isosceles triangle.
Therefore, ∠PRT=∠PTR
Now
In ΔPRS and ΔPTS
PR=PT
So,
∠PRT=∠PTR
So,
PS=PS (PS is common)
ΔPRS≅ΔPTS
Hence proved.
2.
In the case when AB and CD are the diagonals of the rectangle,
So,
diagonals AB=CD, sides AC=BD and AD=BC
In ΔAEC and ΔBED,
So,
∠AEC=∠BED
That means
AE=BE
AC=BD
therefore, ΔAEC≅ΔBED
Hence Proved.
Learn more about the midpoint here; https://brainly.com/question/24600215
Line v is parallel to line w
Which set of statements about the angle is true
Answer:
∠1 ≅ ∠5, ∠2 ≅ ∠4, ∠3 ≅ ∠6
need help asap please
Answer:
y=3/4x+1
Step-by-step explanation:
If you rearrange the given equation to slope intercept form, you'll find the slope to be -4/3. If a line is perpendicular to another it'll have the opposite reciprocal for a slope, meaning the new line's slope would be 3/4. If you plug 3/4 and the given point's x and y value into slope intercept form you'll find the b value or y intercept to be 1. Since you now have the slope and the y intercept you can determine the equation to be y=3/4x+1. Hope this helps!
Some states pay $0.05 for each can that is recycled. Which graph represents the amount of money earned, y, by recycling x cans in these states?
Answer:
The first picture/20 cans = 1 dollar
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
ill give brailest
Read the excerpt below. Which of the following statements best summarizes the main idea of the excerpt?
In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes.
Elion believed that new drugs could be developed to help people.
Elion had to work for Hitchings because she was a woman.
Elion worked hard for more than 40 years to earn money for retirement.
Elion and her colleagues were responsible for developing important drugs.
What are the names of these polygons?
Answer:
1)Quidrilateral
2)Pentagon
I’m confuse asl someone help me
Answer:
how I help u no cheeting there
Solve 3 (b – 4) = 2 (-26+1)
please show your work.
Answer:
Step-by-step explanation:
3(b-4)=2 b=0.6667
=2(-26+1) 2x-27
=-54
-54 is the answer
2x - 2 = 3x - x - 2 solve for x
Answer:
i think x=0
Step-by-step explanation:
2x-2=2x-2
2x=2x
x=0
Answer:
NAN
Step-by-step explanation:
x + 2 = 3x - x^2 Simplifying x + 2 = 3x + -1x2 Reorder the terms: 2 + x = 3x + -1x2 Solving 2 + x = 3x + -1x2 Solving for variable 'x'. Combine like terms: x + -3x = -2x 2 + -2x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: 2 + -2x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 2 + -2x + x2 = 0 + -1x2 + x2 2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + x2 = 0 + -2 -2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + x2 = -2 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -2 + 1 Reorder the terms: 1 + -2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2x + x2 = -1 Factor a perfect square on the left side: (x + -1)(x + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
Change 13/5 to a mixed number PLEASE HELP ME
Answer:
[tex] 2 \frac{3}{5} [/tex]
Step-by-step explanation:
13 = 5 + 5 + 3
[tex] \dfrac{13}{5} = [/tex]
[tex] = \dfrac{5 + 5 + 3}{5} [/tex]
[tex] = \dfrac{5}{5} + \dfrac{5}{5} + \dfrac{3}{5} [/tex]
[tex] = 1 + 1 + \dfrac{3}{5} [/tex]
[tex] = 2 \frac{3}{5} [/tex]
Answer:
[tex]2\frac{3}{5}[/tex]
The fraction consists of two numbers and a fraction bar: 13/5 The number above the bar is called numerator: 13 The number below the bar is called denominator: 5 The fraction bar means that the two numbers are dividing themselves. To get fraction's value divide the numerator by the denominator: Value = 13 ÷ 5
To calculate the greatest common factor, GCF: 1. Build the prime factorizations of the numerator and denominator. 2. Multiply all the common prime factors, by the lowest exponents. Factor both the numerator and denominator, break them down to prime factors: Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 13 is a prime number, it cannot be factored into other prime factors; 5 is a prime number, it cannot be factored into other prime factors; * Positive integers that are only dividing by themselves and 1 are called prime numbers. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself. Multiply all the common prime factors, by the lowest exponents. But, the numerator and denominator have no common factors. gcf (13; 5) = 1Fraction 13/5 is a positive improper fraction (numerator > denominator).Mixed number = a whole number and a proper fraction, of the same sign. Proper fraction = numerator smaller than denominator.
13 ÷ 5 = 2 and remainder = 3 =>
13 = 2 × 5 + 3 =>
13/5 =
(2 × 5 + 3) / 5 =
2 + 3/5 =
2 3/5
a line has slope -3 and the y intercept is 7. what is the slope intercept form of the line?
Answer:
y = -3x + 7
Step-by-step explanation:
[tex]y = mx + b[/tex]
m = slope
b = y intercept
eq:
[tex]y = - 3x + 7[/tex]
what’s the right answer? To put in the blank
Can someone please help me do 1-10? I have trouble understanding this so if you can explain the answer that would be amazing!
Thanks!
L. Han ran 10 meters in 3 seconds, Priya ran 10 meters in 4 seconds, a. Who ran faster? Explain how you know,
Answer:
L. Han
Step-by-step explanation:
L. Han only took 3 seconds and Priya took 4 seconds so L. Han won by one second.
Hope this helps!
Brainiest?
151 3/16 divided by 10 1/4
Answer: 59/4 or 14 3/4
Step-by-step explanation:
151 3 /16 ÷ 10 1 /4
2419 /16 ÷ 41 /4
2419/16 × 4/41
2419 × 4 /16 × 41
9676 /656
Divide both sides by 164
9676 ÷ 164 / 656 ÷ 164
59 /4 = 14 3 /4
People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is μ = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with α = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25.
Answer:
we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
Step-by-step explanation:
Population mean μ₀ = 20
Sample data 18 23 24 44 19 27 23 26 25
Then:
Sample mean μ = 25,44
Sample standard deviation s = 7,14
Sample size n = 9
Hypoyhesis test:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ > μ₀
Significance level α = 0,05 CI = 95 %
We must develop a t-student one-tail test ( to the right ) as follows
t(c) = ??
degree of freedom df = n - 1 df = 8 and α = 0,05
Then from t-student table t(c) = 1, 8595
To calculate t(s) = ( μ - μ₀ ) / s/√n
t(s) = ( 25,44 - 20 ) * √9 / 7,14
t(s) = 5,44*3 / 7,14
t(s) = 2,29
Comparing t(c) and t(s)
t(s) > t(c)
Then t(s) is in the rejection region we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
ANSER FOR REAL OR BANHAMMER WILL BE IN YOUR FACE
Step-by-step explanation:
Since the square is folded along its diagonal,
Perimeter of each triangle
= 2 * Side of square + Diagonal of square.
Side of square
= √(Area of square)
= √(49in²) = 7in.
Diagonal of square
= √(2 * Area of square)
= √(98in²) = 7√2in.
Hence we have 2 * 7in + 7√2in = 7(2 + √2) in.
Three robots ran the same distance. The first robot ran 150 meters per minute.
The second robot ran 150 meters per minute faster than the first robot and 120
meters per minute faster than the third robot. The winner finished 2 minutes
before the robot that finished in second place. What distance (in meters) did the
robots run?
Answer:
900 meters.
Step-by-step explanation:
Trust me. Russian School Of Math answer :)
Find the missing side round to the nearest tenth if needed
[tex]15^{2}+b^{2}=25^{2}\\225+b^{2}=625\\b^{2}=625-225\\b^{2}=400\\b=20[/tex]
or
[tex]3k - 4k- 5k\\k=5\\[/tex]
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart
Answer:
Prof B and Prof D
Step-by-step explanation:
Step-by-step explanation:
From the question we are told that
Sample size 100
Instructor Number of Failures
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Confidence level= 0.95
From Z table
Z=1.96
Generally proportion for failure is mathematically given as
[tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]
[tex]P=\frac{N}{S}[/tex]
For Prof A
[tex]P_A=\frac{N_A}{S}[/tex]
[tex]P_A=\frac{13}{100}[/tex]
[tex]P_A=0.13[/tex]
For Prof B
[tex]P_B=\frac{N_B}{S}[/tex]
[tex]P_B=\frac{0}{100}[/tex]
[tex]P_B=0[/tex]
For Prof C
[tex]P_C=\frac{N_C}{S}[/tex]
[tex]P_C=\frac{11}{100}[/tex]
[tex]P_C=0.11[/tex]
For Prof D
[tex]P_D=\frac{N_D}{S}[/tex]
[tex]P_D=\frac{16}{100}[/tex]
[tex]P_D=0.16[/tex]
Generally the average proportional failure is mathematically given as
[tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]
[tex]P_a_v_g=0.10[/tex]
Therefore having this we calculate for the control limits
Generally the upper control limit UCl is mathematically given as
Upper control limits:
[tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 +1.96*0.03[/tex]
[tex]UCL =0.1 +0.0588[/tex]
[tex]UCL =0.1588[/tex]
Generally the upper control limit UCl is mathematically given as
Lower limit control limits:
[tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 -1.96*0.03[/tex]
[tex]UCL =0.1 -0.0588[/tex]
[tex]UCL =0.0412[/tex]
Therefore the Range is 0.0412 to 0.1588
Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options
Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?
Answer:
12
Step-by-step explanation:
Roland receives $500 as a graduation present from his aunt. He plans to use part of the money to purchase a laptop for $289, including tax. He will purchase some new video games with the remaining money. Each video game costs $52, including tax. Which inequality describes, v, the number of video games Roland can purchase with his graduation money?
Answer:
52x < $211
Step-by-step explanation:
If Roland uses $289 to purchase the laptop from the $500 that was given to him then he would be left with
500 - 289 = $211
With this he can purchase video games. Since each video game costs the same price of $52 then we can use the variable x to represent the number of games he can buy with the following inequality...
52x < $211
