Answer:
Please find attached the required triangle drawn with Microsoft Visio
Step-by-step explanation:
The isosceles triangle ΔPQR we are to construct has the following parameters;
∠PQR = 90°
Length of side hypotenuse PR = 4 cm
Therefore, given that the triangle is right triangle is an isosceles triangle the length of each of the side legs are equal
Therefore, we have;
Length of PQ = Length of QR
The length of the legs , [tex]\overline {PQ}[/tex] and [tex]\overline {QR}[/tex], are given by Pythagoras's theorem as follows;
[tex]\overline {PR}[/tex] = √([tex]\overline {PQ}[/tex]² + [tex]\overline {QR}[/tex]²) = √([tex]\overline {PQ}[/tex]² + [tex]\overline {PQ}[/tex]²) = [tex]\overline {PQ}[/tex]·√2
∴ [tex]\overline {PQ}[/tex] = 4 cm/(√2) = 2·√2 cm = [tex]\overline {QR}[/tex]
The required triangle drawn with Microsoft Visio is attached
The average of six numbers is 4. If the average of two if those numbers is 2,what is the average of the other 4 numbers?
Answer: Average of other 4 numbers =5
Step-by-step explanation:
Sum of n numbers = Average of n numbers x n
Given: Average of 6 numbers =4
so sum of 6 numbers = 6x 4 = 24
Average of 2 numbers = 2
Sum of 2 numbers = 2 x 2 =4
Sum of rest of 4 numbers = sum of 6 numbers - Sum of 2 numbers
= 24-4
=20
Average of 4 numbers = [tex]\dfrac{20}{4}[/tex]
i.e. Average of 4 numbers =5
A square has a perimeter of 20x+28 units. Which expression represents the side length of the square in units? A 4x+4 B 5x+7 C 3x+13 D x+4
Answer:
B. (5x+7)
Step-by-step explanation:
i did same question on a quiz yesterday lol
PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)
Miguel had 340 baseball cards. He sold some of his cards and now has 170 cards left. If p represents the percent
decrease in the number of cards in Miguel's collection, what equation can you use to solve for p, and what is p?
Answer:
340 - 170
340 p=50
Step-by-step explanation:
Answer:
the person above me is right!! i put it in on edg
Step-by-step explanation:
Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week. The equation and solution model the situation.
5 (4.50 + x) = 28.75; x = 1.25
What does the solution, x = 1.25, represent?
the total cost of snacks for the week
the cost of each snack
the total amount of lunch for the week
the amount she spends each day for lunch and snack
Answer:
The cost of each snack
Step-by-step explanation:
Because if we are using what makes sense and what doesnt it would not be that much for lunch each week and it wouldnt be for the day so it must be the cost of each snack
Answer:
Step-by-step explanation:
B, the cost of each snack
A therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes, and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress.
Based on the 95% confidence interval, (–0.29, 0.09), is there convincing evidence of a difference in the true proportions of patients experiencing stress relief in the yoga and meditation groups?
There is convincing evidence because the two sample proportions are different.
There is not convincing evidence because the interval contains 0.
There is not convincing evidence because the interval contains both negative and positive values for the true difference.
Answer: Choice B
There is not convincing evidence because the interval contains 0.
========================================================
Explanation:
The confidence interval is (-0.29, 0.09)
This is the same as writing -0.29 < p1-p1 < 0.09
The thing we're trying to estimate (p1-p2) is between -0.29 and 0.09
Because 0 is in this interval, it is possible that p1-p1 = 0 which leads to p1 = p2.
Therefore, it is possible that the population proportions are the same.
The question asks " is there convincing evidence of a difference in the true proportions", so the answer to this is "no, there isn't convincing evidence". We would need both endpoints of the confidence interval to either be positive together, or be negative together, for us to have convincing evidence that the population proportions are different.
There is not convincing evidence because the interval contains 0.
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
We have, the confidence interval as (-0.29, 0.09)
and, the same as writing -0.29 < p1-p1 < 0.09
Now, as the interval is 0 then
p1 - p2 = 0
p1 = p2
There is a chance that the population ratios are identical.
So, there isn't convincing evidence.
For us to have strong evidence that the population proportions are different, the ends of the confidence interval must be either positive together or negative together.
Learn more about Confidence Interval here:
https://brainly.com/question/24131141
#SPJ3
i really need help on these guys i am failing
Answer: (Photo)
Step-by-step explanation:
Since the +2 is the b in y=mx+b that goes on the y axis then you use the fraction to get the rise and run then graph.
A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet. If the height of the water in the pool is 11/3 feet, what is the volume of the water in cubic feet?
Answer:
1320 cubic feet
Step-by-step explanation:
Given
[tex]Length = 24ft[/tex]
[tex]Width = 15ft[/tex]
[tex]Height = \frac{11}{3}ft[/tex] --- of water
Required
Determine the volume of the water?
Volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = 24 * 15* 11/3[/tex]
[tex]Volume = 1320[/tex]
Hence, the volume of the water is 1320 cubic feet
On a piece of paper, use a protractor to construct A ABC with mZA = 30mZB= 60° and mZC = 90
Which statements about the triangles are true?
Select each correct answer
1. АС
2.AC > BC
3. AC > AB
4.AC < BC
Answer:
In short, Your Answer would be Option 1.AC < AB & 2.AC > BC
Step-by-step explanation:
Here, we know largest side is always opposite to the largest angle.
As largest angle is C with 90 degree, it's opposite side which is AB must be longest here!! & AC would be second largest & BC would be smallest
The statement about the triangle is given as AB > AC > BC
What is a triangle?
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral and right angled triangle.
The size of a triangle side is proportional to the angle opposite to the side.
m∠A = 30, m∠B= 60° and m∠C = 90. Hence: AB is the greatest followed by AC and then BC
AB > AC > BC
The statement about the triangle is given as AB > AC > BC
Find out more on triangle at: https://brainly.com/question/17335144
Hurry please!!
What do these markings
represent?
What do these markings
represent?
Answer:
the measurements are equal
Step-by-step explanation:
i think it means they're equal lol
Answer:
The small arrows mean parallel the lines mean equal in length
If you were babysitting, which would you rather: Charge $5 for the first hour and $8 for each additional hour? Charge $15 for the first hour and $6 for each additional hour? Explain your reasoning. Students, draw anywhere on this slide
(show your work plz )
Answer:
cahrge 15 for first hours and 6 for every additional hour
Step-by-step explanation:
you get more money because if you do one hour then you will still get $15 in a hour while if you do one hour in the other equation yolu will only get $5
which congruence postulate is this? SAS, SSS, AAS, ASA, HL
Answer:
SAS
Step-by-step explanation:
What’s the scale factor (mark as brainliest)
Answer:
Its divided by 3
Step-by-step explanation:
bigger is 6, smaller is 2....shrinked by 3
Name the property of real numbers illustrated by the equation (x + 8) + 4 = x + (8 + 4)
A. Distributive Property
B. Inverse Property
C. Commutative Property
D. Associative Property
Answer:
D. Associative Property
Step-by-step explanation:
The group is being switched around.
Answer:
the answer is
Step-by-step explanation:
associative property
(8x²+y⁰)(-10x³y²z) what is the answer ?
Simplify/Multipy/Find the product: −80x^5y^2z − 10x^3y^2z
Look at the graph below. Will ordered pair (50,200) fall on the line below? Explain your answer.
Middle school math.
Answer:
Yes!
Step-by-step explanation:
the slope of the graph travels 1x for every 4y, so multiply both numbers by 50, which gives you (50, 200)
There are three consecutive numbers such that 3 times the greatest decreased by five times the middle number is-33
Answer:
Step-by-step explanation:
Let (n-1), n, and (n+1) be the consecutive numbers.
3(n+1) - 5n = = -33
-2n + 3 = -33
-2n = -36
n = 18
The numbers are 17, 18, 19
Can someone help me with this
Answer:
c
Step-by-step explanation:If you never know an answer just pick c:)daily life advice
PLEASE HELPP ILL GIVE YOU BRAINLIEST!!
Answer:
1) 23a + 18
2) 23a - 6
3) 23a - 18
4) -16
5) 7a - 6
Step-by-step explanation:
Use the distributive property (if it is subtraction remember to distribute the negative sign as well)
1) 3(5a + 2) + 4(2a + 3) = (15a + 6) + (8a + 12) = 23a + 18
2) 3(5a + 2) + 4(2a - 3) = (15a + 6) + (8a - 12) = 23a - 6
3) 3(5a - 2) + 4(2a - 3) = (15a - 6) + (8a - 12) = 23a - 18
4) 3(5a - 2) - 5(3a - 2) = (15a - 6) - (15a +10) = 15a - 6 - 15a - 10 = -16
5) 3(5a + 2) - 4(2a + 3) = (15a + 6) - (8a + 12) = 15a + 6 - 8a - 12 = 7a - 6
Try doing the rest :)
i need the answer fast
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
P + 7 ≤ 50
He can spend less than but no more than $50. So whatever he buys plus the 7 dollar admission can be equal to but not greater than 50.
When Mei solved the system of equations below, she got the
solution x = 4, y = 2. Without solving the system, yourself, can you
tell her whether this solution is correct?
4x + 3y = 22
x - 2y = 0
No
yes
Both
Answer:
yes
yes is answer of this equation
Answer:
answer is yes
Step-by-step explanation:
DOING 20 POINTS!
A window for a new house is shown. How many square feet of glass does the window require, if it is double-paned? Enter your answer in the box.
Answer:
The window for the new house requires 14.4 feet of glass if it is double paned.
Step-by-step explanation:
This is because 7.2 × 4/2= 14.4 sq. Ft
Pleaseee helpppp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
10.4 meters
Step-by-step explanation:
Please and Thank You
pls help!! what is x
Answer:
x is a variable to fill in something that is unknown. its like a question mark
Step-by-step explanation:
Which function is represented by the graph?
1. Given that ABCD is a rhombus with ∠DBC=49∘, what is ∠DAB?
A. 82 degrees
B. 90 degrees
C. 49 degrees
D. 98 degrees
2. In a rhombus FGHJ, m∠JKF=(3y+6)∘ and m∠KFG =(7y−14)∘. Find the value of y?
A. 20
B. 10
C. 8
D. 5
Answer:
1). Option (A)
2). Option (D)
Step-by-step explanation:
1). We will use two properties of the rhombus,
- Diagonals of a rhombus are perpendicular and bisect each other.
- Diagonals of a rhombus bisect the opposite angles.
From the figure attached,
m∠DBC = 49° [Given]
m∠DBA = 49° [m∠DBC = m∠DBA]
In ΔAOB,
m∠AOB + m∠OBA + m∠BAO = 180° [Triangle sum theorem]
90°+ 49° + m∠BAO = 180°
m∠BAO = 41°
Since, m∠DAB = 2(m∠BAO)
= 2(41°)
= 82°
Option (A) will be the answer.
2). From the figure attached,
m∠JKF = (3y + 6)°
m∠KFG = (7y - 14)°
Since, m∠JKF ≅ m∠KFG
(3y + 6) = (7y - 14)
7y - 3y = 6 + 14
4y = 20 ⇒ y = 5
Option (D) will be the answer.
Answer--->x/3
Process?
Step-by-step explanation:
2x/3 - x/3 = x/3
they both have the same denominators (number at the bottom of the fraction) so all you have to do it subtract the numerators (top of the fraction) together. 2x-x =x, that's why it's x on the numerator for the answer
hope this helps
Step-by-step explanation:
[tex] \frac{2x}{3} - \frac{x}{3} = \frac{x}{3} [/tex]
2x-x=x
In ΔQRS, the measure of ∠S=90°, QR = 78 feet, and RS = 61 feet. Find the measure of ∠R to the nearest degree.
Answer: 38.551=39
cos
−1
(
78
61
)
=39
Answer:
39
Step-by-step explanation:
SOMEONE PLEASE HELP ME ANSWER THIS QUESTION!!
I’LL MARK YOUR ANSWER AS BRAINLIEST ANSWER!!
Answer:
a) 30 b) 21 c) 153
Step-by-step explanation:
a) 5 squares * 6 = 30 phones
b) 3.5 squares * 6 = 21 phones
c) 25.5 squares * 6 = 153 phones