Answers
Answer:
height = 10 , area = 240 units²
Step-by-step explanation:
The diagonal splits the rectangle into 2 right triangles.
Using Pythagoras' identity in the right triangle formed
with hypotenuse h = 26 and legs 24 and height x , then
x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10
Height = 10 units
area of rectangle = 24 × 10 = 240 units²
Related Questions
i need help with the second part pls
Answers
Answer:
(x, y) = (22, 35)
base angle theorem; angle sum theorem
Step-by-step explanation:
Base angles theorem:
Angles opposite congruent sides are congruent:
3x -11 = 2x +11
x = 22
__
Angle sum theorem:
The sum of angles in a triangle is 180°.
(3x -11)° +(2x +11)° +2y° = 180°
5x° +2y° = 180°
2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x
y = 35 . . . . . . . . . divide by 2
Which of the following is best used to measure the amount of time that has passed in your lifetime?
(A)minutes
(B)seconds
(C)days
(D)years
Answers
What is the value of y in the formula show when x=4/5
Answers
Answer:
there is no way to solve for y, but if your solving for x then x=4/5 and in decimal form it is x=0.8 hope that helps
Step-by-step explanation:
Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)
Answers
Using the z-distribution, it is found that the p-value is of 0.03.
At the null hypothesis, it is tested if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:
[tex]H_a: p \neq 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]
[tex]z = -2.12[/tex]
The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.
To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918
Hello can you please help me with this question
Answers
Answer:
A
Step-by-step explanation:
...
Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
Answers
The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.
We have been given the relation below:
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance.
The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
The given relation of function is represented in the attached graph.
Take two endpoints (3, 0.75) and (9, 2.25)
x₁ = 3, y₁ = 2.25
x₂ = 4, y₂ = 9
distance = √ (9 – 3)² + (2.25 – 0.75)²
distance = √ (6)² + (1.5)²
distance = √ (36 + 2.25)
distance = √ (38.25)
distance = 6.18 miles
Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.
Learn more about the distance between two points here:
brainly.com/question/15958176
#SPJ5
1/2(10p-7q) if p=9 and q=2
Answers
Answer:
38
Step-by-step explanation:
1/2(10p-7q)
1/2(10(9)-7(2))
1/2(90-14)
1/2(76)
76/2
38
What is the equation of a line that is perpendicular to the line y = - 1/2 x + 1 and passes through the point (8, - 1)? A y = −1/2 x + 8 B y = 2x - 17 C y = −1/2 x − 2 D y = 2x - 1
Answers
First find the negative reciprocal of the gradient for y = -1/2 x + 1 to find the perpendicular line gradient.
-1/2 = 2
Gradient of perpendicular line = 2
Perpendicular line is y=2x + c
Substitute (8,-1) into the line to find the y-intercept (c).
-1 = 2(8) + c
-1 = 16 + c
c = -17
Therefore, the perpendicular line is y = 2x - 17.
_________________ help the group manage relationships
a.
Social roles
b.
Leadership roles
c.
Task roles
d.
Individual roles
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
B
Step-by-step explanation:
Leadership roles help the group manage relationships
[] Leadership is the action of leading a group of people or an organization, so this best completest the answer
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
part 2 of Question please help me
and thank you for your help
Answers
1 tick represents 8 units
Just gonna attach a picture of the problem so it’s easier
Answers
Answer:
You have to find the intercept hope this helps
Step-by-step explanation:
Find the m, b, and write the equation for the following graph:
Answers
Answer:
y=3
Step-by-step explanation:
m=0
b=3
Help me plzzzzz
y=__×+__
Answers
What is 0.27845 rounded to 3 decimal places
Answers
Answer:
0.278
Step-by-step explanation:
Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
a
r = 0..8
b
r = 0.5
c
r = -0.2
d
r = -0.9
Answers
Answer:
D) r=-0.9
Step-by-step explanation:
Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.
Can someone please help me <3
Answers
Answer:
x = 9
Step-by-step explanation:
10 + x/3 = 13
x/3 = 13 -10
x/3 = 3
x = 3*3 = 9
Answer:
9
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 10 from both sides of the equation:
[tex]\frac{x}{3} + 10 = 13\\\\\frac{x}{3} + 10 (-10) = 13 (-10)\\\\\\\frac{x}{3} = 13 - 10\\\\\\\frac{x}{3} = 3[/tex]
Next, isolate the variable, x, by multiplying 3 to both sides of the equations:
[tex](\frac{x}{3}) * 3= (3) * 3\\\\x = 3 * 3\\\\x = 9[/tex]
~
A stainless steel gas grill is list priced at $495. The manufacturer offers a series discount of 25/20/10 to wholesalers and a 25/20 series discount to
retailers. What is the difference between the prices?
Answers
Answer:200$
Step-by-step explanation:
Select the expressions that are equivalent to 12n - 8. Select all that apply.
A. 3n + 4 + 3n + 4 + 4n
B. 11n + 4 + n -12
C. 6(6n - 2)
D. 4(3n – 2)
E. 4n + 22 - 12 + 8n
Answers
A.3n+4+3n+4+4n
=3n+3n+4n+4+4
=10n+8
B.11n+4+n-12
=11n+n+4-12
=12n-8
C.6(6n-2)
=36n-12
D.4(3n-2)
=12n-8
E.4n+22-12+8n
=4n+8n+22-12
=12n+10
so,B and D are the expressions that are equivalent to 12n-8.
write the equation in slo
pe intercept form -1=-2x+y
Answers
Answer:
y = -2x - 1
Step-by-step explanation:
Put y on the left and everything else on the right
Plz help ToT I'm horrible at math
Answers
Answer:
24 Square Inches
Step-by-step explanation:
-3x + 4y = -15 and 4x - y = -19
Answers
Answer:
x=-7, y=-9. (-7, -9).
Step-by-step explanation:
-3x+4y=-15
4x-y=-19
---------------
y=4x-(-19)
y=4x+19
-3x+4(4x+19)=-15
-3x+16x+76=-15
13x=-15-76
13x=-91
x=-91/13
x=-7
4(-7)-y=-19
-28-y=-19
y=-28-(-19)
y=-28+19
y=-9
Helpppp
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.
Answers
Answer: Evan is incorrect
Step-by-step explanation:
20/20 - 25 x 100 =
5/20 x 100/1 =
500/20
500/20 = 20%
Evan would only be correct is he doubled the 20 hours to make it 40 hours
Hope this helps✌
Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.
b) How much did he have, after the purchase of the game?
Answers
Answer:
a) 43 - 15
b) 28
HELP ASAP 10 POINTS
Which coordinates are the best estimate of the solution to the system of equations?
Hint: Which coordinate is closest to where the lines meet?
Question 4 options:
(6,0)
(0,5)
(1,4)
(1,5)
Answers
Answer:
(1,4)
Step-by-step explanation:
It was either (1,3) or (1,4) but there was no (1,3) so (1,4).
Hopes This Helps :)
While In a cave what did Sirius tell Harry and his friends about crouch
Answers
The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.
It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.
In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.
Learn more about Harry on:
https://brainly.com/question/1173893
GIVING BRAINLIEST please its due in 10 min and please show work
Samantha invests a total of $18,000 in two accounts. The first account earned an annual interest rate of 11% and the second account earned an annual interest of 7%. At the end of one year, the total amount of money gained was $1,680.00. How much was invested into each account?
$ was invested in the account that earned 11% and
$ was invested in the account that earned 7%.
Answers
Answer:
Step-by-step explanation:
X + Y = 28500 (Equation 1).
1.11X + .9Y = 29010 (Equation 2).
A *bank* is a regular quadrilateral with four equal sides and four equal angles.
HELP PLEASE QUICK
Answers
Answer:
square
Step-by-step explanation:
question: A _____ is a regular quadrilateral with four equal sides and four equal angles.
first we have that it is a regular quadrilateral.
regular shapes are shapes that have equal side lengths, and equal interior angle measures.
a quadrilateral means it has 4 sides
if there are 4 sides, and all the angles are equal then each angle will be 90 degrees/ a right angle.
therefore you get a shape with:
4 congruent (equal) sides
4 right angles
this describes a square!
solve similar triangles (advanced)
Answers
Step-by-step explanation:
similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.
that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.
so,
x/2 = 6/(6+4) = 6/10 = 3/5
x = 2 × 3/5 = 6/5 = 1.2
compare the following number :-
▪︎ 3 × 10¹² and 4 × 10¹¹
I need a well explained solution,
pls not from any other websites
thx for answering~~
Answers
Answer:
[tex] {10}^{12} = 1000000000000[/tex]
Then ,[tex]3 \times {10}^{12} = 3000000000000[/tex]
And[tex] {10}^{11} = 100000000000[/tex]
Then ,[tex]4 \times {10}^{11} = 400000000000[/tex]
Step-by-step explanation:
• Hence , 3 x 10 to the power 12 is greater .The value of 3 × 10¹² is greater than 4 × 10¹¹
The standard scientific expression is given as A * 10^n
Given the scientific values 3 × 10¹² and 4 × 10¹¹, we need to compare the values.The value of their powers will determine which of the values is greater or less.For the notation 3 × 10¹², we can see that the power is 12 while for the notation 4 × 10¹¹, the power is 11. Since 12 is greater than 11, hence the value of 3 × 10¹² is greater than 4 × 10¹¹
Learn more on scientific values here: https://brainly.com/question/1522308
plssssssssssssssssssssssss
Answers
Y = x^2 -3
y = (x-3)(x+3)
For x-intercepts, y = 0
Therefore (x-3)(x+3) = 0
x intercepts are (3,0) and (-3,0)
The line of symmetry is x = 3+(-3) = 0
Vertex is on the line of symmetry
When x = 0, y = -1
Vertex = (0,-1)
Answer:
The answer is equal to 0
Step-by-step explanation:
Explanation in the picture.