Answers
Answer:
x = 12
Step-by-step explanation:
ΔABC is a right triangle, therefore we can use Pythagoras' Theorem to find the value of x.
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Therefore,
a = xb = 16c = 20Substitute these values into the equation and solve for x:
⇒ x² + 16² = 20²
⇒ x² + 256 = 400
⇒ x² = 400 - 256
⇒ x² = 144
⇒ x = √(144)
⇒ x = ±12
As length is positive, x = 12 units (only)
Related Questions
FASTEST ANSWER WITH STEPS FOR PROOF GETS BRAINLIEST
Answers
Proof
help with this question
Answers
Answer:
66
Step-by-step explanation:
2x+45+40+77+x=360
3x+162=360
-162=-162
3x=198
198/3
66
g A pharmaceutical manufacturer has been researching new formula to provide quicker relief of minor pains. His laboratories have produced several different formula which he wanted to test. Fifteen people who complained of minor pains were recruited for an experiment. Five were given formula 1, five were given formula 2, and the last five were given formula 3. Each was asked to take the medicine and report (X) the length of time until some relief was felt. Using the results of the output, at 0.05 level of significance, what is the critical value for testing differences in the population mean times for pain relief
Answers
Answer:
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o:\mu_1 = \mu_2 = \mu_3[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2 \ne \mu_3[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 5 + 5 + 5 - 3[/tex]
=> [tex]df = 12[/tex]
Generally the critical value of [tex]\alpha = 0.05[/tex] at a degree of freedom of [tex]df = 12[/tex] is
[tex]t_{0.05 , 12} = \pm 2.1788[/tex]
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 15.3 gallons. What is the average rate of flow of the gasoline into the gas tank? (Round your answer to one decimal place.)
Answers
Step-by-step explanation:
first what is the time
3:40 - 3:44
that is 4 minutes
4 min = 15.3 g
rate per min
we need to get 4 min to 1
so
answer below i will mark
The figure shows triangle POR and line segment AB, which is parallel to QR:
А - В
o
R
Part A: Is triangle POR similar to triangle PAB? Explain using what you know about triangle similarity (5 points)
Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)
Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)
Answers
Answer:
A: the triangles are similar
B: AB corresponds to QR
C: ∠PAB corresponds to angle Q
Step-by-step explanation:
A line segment parallel to the base of a triangle will create a similar triangle. The AA similarity postulate can be used to conclude that.
__
Part A:The triangles PQR and PAB are similar. This derives from the fact that angle P is in both triangles, and corresponding angles PAB and PQR are congruent. The AA congruence postulate applies.
__
Part B:Based on the similarity statement, segment AB corresponds to segment QR.
__
Part C:Transversal PQ crosses parallel lines AB and QR at points A and Q, respectively. The corresponding angles are PAB and PQR.
What’s the answer please help.
Answers
Answer:
i think its the last one
Factor the following expression please (7th grade):
13xy-26x
Answers
Answer:
=13x(y - 2)
Step-by-step explanation:
26 = 13 * 2
3. Find the area of a square if its side length is:
a. 3 inches
b. 40 inches
c. x units
Answers
¿Cuántas caras quedan al cortar con un plano cada esquina de un cubo como se muestra en la figura?
Answers
Realizando un corte en cada esquina del cubo como se muestra en la imagen quedarían una figura de 13 caras.
Cómo calcular en número de caras de la figura?Para saber el número de caras resultante de cortar todas las puntas del cubo debemos tener en cuenta que el cubo tiene 6 caras y 8 puntas.
De acuerdo a lo anterior, debemos remplazar cada punta por una cara, debido a que cada punta va a quedar como una cara luego del corte, es decir que tendríamos que sumar 6 caras y 8 caras producto del corte de las puntas.
6 + 8 = 13
Entonces, el número de caras de esta figura sería 13.
Nota: Esta pregunta está incompleta debido a que le falta la imagen. Aquí está la imagen:
Aprenda más sobre figuras geométricas en: https://brainly.com/question/26798234
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
Answers
Answer:
perimeter L = 35 - w
Step-by-step explanation:
L × W = 300 : area , L is the length and W is the width. 2 L + 2 W = 70 : perimeter L = 35 - w : solve for L (35 - W) × W = 300 : substitute in the area equation W = 15 and L = 20 : solve for W and find L using L = 35 - w.
Hope it helps!!!Brainliest pls!!!i need help fo this!!!!
Answers
explanation: a triangle equals 180 degrees. subtract 88 from that and you have 92. both missing angles are equal so divide 92 by 2 and get 46. your equation will be 9x+1=46 subtract 1 from both sides. divide both sides by 9 and get x=5
Look at the picture and solve. Please! Need ASAP, show work ect.
Answers
Answer:
1. X=1 and y=3
2. x=6 and y=11
Step-by-step explanation:
1. 2x+1= y
2y=6
y=3
y=2x+1
3=2x+1
2/2=2x/2
x=1
2. y-3=x+2
y=x+5
x+5=2x-1
6=2x-x
x=6
y=6+5
y=11
which is a line of symmetry?
Answers
WILL MARK BRAINLIEST
For each ordered pair, determine whether it is a solution to 2x-7y=-11.
Answers
Answer:
(-3,4)--No
(-9,-1)--Yes
(8,-2)--No
(5,3)--Yes
This is your answer...
Hope you have a great day!
Kelsey bought some roses and tulips.She bought twice as many tulips as roses. Roses cost $5 each. Tulips cost $2 each .Kelsey spent $36 total. How many of each kind of flower did Kelsey buy ?
Answers
Answer: 4 roses and 8 tulips.
Step-by-step explanation: Each rose costs $5, so she bought 4 of them, which is $20 so far. Since she already bought 4 roses, she bought twice that amount for tulips, which is 8. Each tulip costs $2, so that's $16. Add both $20 and $16 and you have $36.
Hope this helps! :)
question is in the picture
Answers
4 divided by 5 is 0.8
Answer:
D. 0.80
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
Annie’s reading class begins at 8:35 and lasts 1 hour and 45 minutes. What time is her reading class over
Answers
Answer:
10:20
Step-by-step explanation:
5 1/4 divided by 5/8?
Answers
Answer:
8 and 2/5
Step-by-step explanation:
Angles 1 and 2 are supplementary.
2 lines intersect to form angles 1 and 2.
Which equation represents the relationship between their measures?
mAngle1 + mAngle2 = 90°
mAngle1 + mAngle2 = 100°
mAngle1 + mAngle2 = 180°
mAngle1 + mAngle2 = 200°
Answers
Answer:
mAngle1 + mAngle2 = 180°
Step-by-step explanation:
Knowing that:
Supplementary angles are 180 degree
Solve:
The only one with 180 is the third one.
Thus, the answer is mAngle1 + mAngle2 = 180°
~Lenvy~
Answer:
mAngle1 + mAngle2 = 180°
Step-by-step explanation:
edge 2022
Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 24.4 millimeters and standard deviation 0.07 millimeter. Round your answers to at least four decimal places. (a) What proportion of the diameters are less than 24.3 millimeters? (b) What proportion of the diameters are greater than 24.6 millimeters? (c) To meet a certain specification, a ball bearing must have a diameter between 24.2 and 24.5 millimeters. What proportion of the ball bearings meet the specification? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of the diameters are less than 24.3 millimeters? The proportion of the diameters that are less than 24.3 millimeters is .
Answers
Answer:
Z = x - µ / ∂
= 24.2 – 24.6 / 0.07
=-0.4/ 0.07
= -5.71
Step-by-step explanation:
Solution:
Mean = µ = 24.4mm
Standard deviation = ∂= 0.07 mm
(a) Diameter less than 24.3 mm
P(x < 24.3)
The formula for normalized z value:
Z = x - µ / ∂
= 24.3 - 24.4 / 0.07
= - 0.1 / 0.07
= -1.4286
P(z < -1.428) = 1 – p ( z > -1.428)
= 1 – p( z < 1.42)
=1 – 0.4233
= 0.5767
(b) Diameter greater than 24.6 mm
P( x > 24.6)
The formula for normalized z value:
Z = x - µ / ∂
= 24.3 – 24.6 / 0.07
=-0.3 / 0.07
= - 4.285
P( z > -4.285) = 1 – p(z < -4.285)
= 1 – p ( z > 4.285)
=
(c) Diameter between 24.2 and 24.5 mm.
P(x > 24.5)
Z = x - µ / ∂
= 24.5 – 24.6 / 0.07
=-0.1/ 0.07
= -1.4286
P(z < -1.428) = 1 – p ( z > -1.428)
= 1 – p( z < 1.42)
=1 – 0.4233
= 0.5767
P(x < 24.2)
Z = x - µ / ∂
= 24.2 – 24.6 / 0.07
=-0.4/ 0.07
= -5.71
What leads many observers to assume a linear progression?
Answers
The thing that makes a lot of observers to assume a linear progression is due to technology and social growth that are said to be are directly proportional.
They can also Assume linear progression when the observers see that the change that is taking place with one variable is said to be proportion with the another variable
What is linear progression?A linear development is known to be a process where a thing do changes, alter or progresses rightly from one phase to another.
Linear Growth or development is known to be the quantity that increases linearly if it increases by a constant amount for each unit per time
Learn more about linear progression from
https://brainly.com/question/25987747
ерес The amount of money in an investment is modeled by the function A(t) = 700(0.8353)'. The variable A represents the investment balance in dollars, and t the number of years since 2001. (A) In 2001, the balance was $ 700 (B) The amount of money in the investment is Select an answer Porr ra (C) The annual rate of change in the balance is 0 %. Enter an integer or decimal nimber more. (D) In the year 2011 the investment balance will equal $ Round answer to the nearest penny.. Licens Points possible: 1 Unlimited attempts.
Answers
The function of the amount of money is an illustration of an exponential function
The initial balance of the investment is $700, and the rate is 83.53%
How to interpret the function?The function of the amount of money in the investment is given as:
[tex]A(t) = 700(0.8353)^t[/tex]
The above function is an exponential function, and an exponential function is represented as:
[tex]A(t) = ab^t[/tex]
Where:
a represents the initial value, and b represents the rate.
By comparison, we have:
a = 700
b = 0.8353 = 83.53%
Hence, the initial balance of the investment is $700, and the rate is 83.53%
Read more about exponential functions at:
https://brainly.com/question/11464095
i need help please 12.54 + 28.68
Answers
Answer:
41.22
Step-by-step explanation:
12+28 = 40
0.54 + 0.68 = 1.22
40 + 1.22 = 41.22
Answer:41.22
Step-by-step explanation:
Find the slope of the line
Answers
Answer:
Slope = -2/1 = -2
Step-by-step explanation:
You can look at the points on the image and see the "directions" to get from one point to the next: you go down 2 and over 1. This is -2/1, which is -2.
You could also pick and two points and do a calculation. It can be any two points on the line and it will come out the same.
For example (-1,3) and (0,1) are two points on the line. To find slope, subtract the y's and put that on top of a fraction, then subtract x's and put that on the bottom.
3 - 1 goes on top.
-1 - 0 goes below.
3-1 / -1 - 0
2/-1
= -2
Slope = -2
∠A and ∠B are complementary. The measure of ∠A is 21°.
What is the measure of ∠B?
Enter your answer in the box.
point theif = ban beee
Answers
∠A and ∠B are complementary. The measure of ∠A is 21°.
What is the measure of ∠B?
Answer↷69°Given↷Two complementary angles ⤿∠A & ∠B∠A⤿21°To find↷Measure of ∠BSolution ↷we know that,
sum of two complementary angles ⤿90°ATQ,
⤿∠A +∠B = 90°⤿21° + ∠B = 90°⤿∠B = 90° -21°⤿∠B = 69°Answer:
[tex]\displaystyle 69° = m\angle{B}[/tex]
Step-by-step explanation:
Complementary Angles sum up to ninety degrees, so do the following:
[tex]\displaystyle 90° = 21° + m\angle{B} \\ \\ 69° = m\angle{B}[/tex]
I am joyous to assist you at any time.
here a subtraction problem that has been solved incorrectly 21-9=11 what answer I got b 11+9=20
Answers
The Answer:
21 - 9 = 12, not 11.
explanation:
It is not much else to say here, so straightforward, the answer lies above.
Therefore,
you are correct. 11 + 9 = 20 - 9 = 11, which is correct for the given equation.
For the function below, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing
toxx ?
f(x)= 3%
X-X-112x - 4
(a) The critical number(s) is/are -
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
(b) on which intervals is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. Increasing on
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
OB. Never increasing
(c) On which intervals is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
ОО
A. Never decreasing
B. Decreasing on
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression, Vse a comma to senartowo
Answers
Step-by-step explanation:
We must do the first derivative test. Here is the steps:
Step 1: Differentiate the polynomial once
we get
[tex]2 {x}^{2} - 2x - 112[/tex]
Step 2: Set this equal to zero and solve for x.
[tex]2 {x}^{2} - 2x - 112 = 0[/tex]
[tex] {x}^{2} - x - 56 = 0[/tex]
[tex](x - 8)(x + 7) = 0[/tex]
[tex]x = 8[/tex]
[tex]x = - 7[/tex]
The solutions are your critical points.
So our critical points are (8,-7).
Step 3: Plot -7 and 8 on a number line. First, pick a number lesser than -7 and plug plug in the derivative function.
Let use -10.
[tex]( - 10 - 8)( - 10 + 7) = 54[/tex]
Since that number is positive, this means are increasing when (-oo,-7)
Next, pick a number greater than 8. Let use 9.
[tex](9 - 8)(9 + 7) = 16[/tex]
Since that is positive, the interval is increasing whe (8,oo)
C. If we pick a number in between -7 and 8, we will get a negative number which means the function is decreasing on interval (-7,8)
List the discontinuities for the function f(x) = cot( 5x/3 ).
Answers
Answer:
[tex]x=\frac{3\pi n}{5}[/tex]
Step-by-step explanation:
We know that [tex]cot(\frac{5x}{3})=\frac{cos(\frac{5x}{3})}{sin(\frac{5x}{3})}[/tex], so [tex]cot(\frac{5x}{3})[/tex] is undefined where [tex]sin(\frac{5x}{3})=0[/tex]:
[tex]sin(\frac{5x}{3})=0\\\\\frac{5x}{3}=\pi n\\\\5x=3\pi n\\\\x=\frac{3\pi n}{5}[/tex]
So, the discontinuities for the function [tex]f(x)=cot(\frac{5x}{3})[/tex] are where [tex]x=\frac{3\pi n}{5}[/tex] with [tex]n[/tex] being any integer.
James can do a job in 1.5 hours. Jane can do the same job in 1 hour. How long will it take them to do the job if they work together?
Answers
Answer:
0.5 hours
Step-by-step explanation:
If Jams does a job in 1.5 hours, it will take less time for both of them to work together, hence, taking 30 minutes
TEAMWORK MAKES THE DREAM WORK!
30. On February 1, the temperature at a ski resort in
Montana was 6° Fahrenheit. How many degrees Celsius
is this temperature?
Answers
Answer:
-14.4444°C
Step-by-step explanation:
(6°F − 32) × 5/9 = -14.44°C