Answer:
Each side of the rhombus is the hypotenuse of a right triangle whose legs are the semi-diagonals.
The semi-diagonals have lengths 6/2 = 3, 4/2 = 2.
Therefore, from the Pythagorean Theorem, each side measures
sqrt(3^2 + 2^2) = sqrt(13).
Lord bless you today!
Step-by-step explanation:
The measure of each side of a rhombus with diagonals as 6 and 4 is √13.
How to find side length of a rhombus?
The diagonal of the rhombus are 6 and 4 respectively.
The formular to find the side length of a rhombus is express as follows;
a = √p² + q² / 2
where
p and q are the diagonalsa = side lengthTherefore,
6² = 36
4² = 16
Hence,
a = √36 + 16 / 2
a = √52/2
a = 2√13 / 2
a = √13
learn more on rhombus here: https://brainly.com/question/3649480
A model rocket is launched directly upward at a speed of 15 meters per second from a height of 10 meters. The function f(t)=-4.9t^ 2 +15t+10. models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest pointRound to two decimal places.
Answer:1.53
Step-by-step explanation:
Find the value of x in the triangle shown below.
a. x=4
b.x=5
c.x=2
d.x=32
Answer:
4√2
Step-by-step explanation:
Using Pythagoras Theorem ,
[tex]\implies h^2 = p^2 + b^2\\\\\implies 9^2 = x^2 + 7^2 \\\\\implies 81 = x^2 + 49 \\\\\implies x^2 = 81 - 49 \\\\\implies x^2 = 32 \\\\\implies \boxed{x = 4\sqrt2} [/tex]
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²
9²=x²+7²
x²=81-49
x=√32 units
A net and the prism it will form when it is folded are shown below.
A prism is made up of 4 rectangles with a base of 12 centimeters and height of 11 centimeters and 2 rectangles with a base of 12 centimeters and height of 10 centimeters.
What is the surface area of the prism in square centimeters?
724 square centimeters
972 square centimeters
1,089 square centimeters
1,320 square centimeters
Answer:
724
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!Answer: 724
Step-by-step explanation: I multiplied and then got this i also did the quiz for this :) have a good day!
Help me please I’ll mark ya brainless
Answer:
b or c
Step-by-step explanation:
hope this helped
Please solve this all for 24 points. <333 :)
Answer:
$33.75
65%
$13.78
Step-by-step explanation:
commission earned = percentage commission x worth of goods sold
4 1/2% x $750
4.5% x $750
0.045 x $750 = $33.75
Percentage mark-up = [(selling price - cost price) / cost price] x 100
[(90.75 - 55) / 55) x 100
= 65%
new income = 6% of $13 + 13
0.06 x 13 = $0.78
$13 + $0.78 = $13.78
Your friend enters a contest to see how many seconds they can stay standing on on a beam without falling off. The first day they stand 2 seconds. Each day after the first, they stand twice as long. How many days is it until they can stand more than 1/2 hour?
Answer:
Step-by-step explanation:
So this is an exponential equation because it is doubling each day.
So you will first determine the equation f (x)
If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB. Please show all your work
Answer:
-2/5
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
= ( 3-9)/(0+15)
= -6/15
= -2/5
Find the value of x?
Answer:
x = 12
Step-by-step explanation:
An inscribed angle has half the measure of the arc it intercepts.
arc SU +arc UT = 180°
2(43°) +(9x -14)° = 180°
9x = 108 . . . . . . . divide by °, subtract 72, simplify
x = 12 . . . . . divide by 9
Select the correct answer from drop down menu.
First Line
130/r
130r
130r * r
65r
Second Line
n
nr
n(r * r)
n+r
Answers:
First one is 130r
and
Second one is n(r*r)
A sewing instructor asked his students how many spools of knitting yarn they carried in their sewing kits. The table shows the data he recorded.
A right triangle has side lengths d, e, and f as shown below.
Use these lengths to find tanx, sinx, and cosx.
Answer:
tanx=d/f, sinx=d/e, cosx=f/e
Step-by-step explanation:
Find the opposite, Adjacent and hypotenuse of the right triangle.
Opposite= d , Adjacent= f, Hypotenuse= e
Tanx = opposite/adjacent
Sinx= opposite/hypotenuse
Cosx= adcajent/hypotenuse
test the continuity of
and evaluate.easy question.show your work.
9514 1404 393
Answer:
(i) not continuous at x=2
(ii) -√2
Step-by-step explanation:
(i) The function simplifies to ((x -2)(x+2))/(x -2) = x +2 . . . . x ≠ 2
The left and right limits at x=2 exist and are the same: 4. However, the function is undefined at x=2, so the conditions for continuity are not met.
__
(ii) The expression is indeterminate (0/0) at x=π/4, so L'Hopital's rule can be used to find the limit.
lim[x→π/4] = ((d/dx)(cos(x)-sin(x)))/((d/dx)(x-π/4)) = (-sin(π/4)-cos(π/4))/1
lim[x→π/4] = -√2/2-√2/2 = -√2
The limit is -√2.
Help please! :) I don’t know how to solve this!
Answer:
261
Step-by-step explanation:
→ Substitute 2 into g( x )
( 3 × 2 ) + 10 = 16
→ Substitute that answer into f( x )
16² + 5 = 261
I need help SHOW YOUR WORK
Answer:
[tex] F)\displaystyle \: 100\pi{ x}^{8} {y}^{2} {z}^{ 6} [/tex]
Step-by-step explanation:
we are given r and the formula
we want to find the surface area of the shpare with the given r
to do so
we need our algebra skills
substitute the value of r:
[tex] \displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2} [/tex]
recall law of exponent
[tex] \displaystyle \: ({x}^{m} {)}^{n} \iff \: {x}^{mn} [/tex]
to simplify:
[tex] \displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2} {z}^{ 3 \times 2} )[/tex]
simplify multiplication:
[tex] \displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2} {z}^{ 6} )[/tex]
distribute:
[tex] \displaystyle \: S = 100\pi{ x}^{8} {y}^{2} {z}^{ 6} [/tex]
hence our answer is F
What is the are of the triangle?
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
half of 12,height,multiplied by 5,base,since it is a right angled triangle
a firm wants to select a group of 8 out of its 20 employees to attend a Business trip .in how many ways can this be done if there is a couple who must not be separated
Answer:
Case 1 - 50388 ways when the couple is there in the group of 8 people selected out of 20 employees.
Case 2 - 75582 ways when the couple is not there in the group of 8 people selected out of 20 employees.
Step-by-step explanation:
Given
The couple within the group can not be separated and hence instead of taking total 20 employees , it must be taken as 19 employees.
Now if the couple is there in the selected group of 8 people, then total 7 needs to be selected out of 19 and hence the total number of ways of selecting 7 people out of 19 is
[tex]^7C_{19}[/tex] = 50388
If the couple is not there in the selected group of 8 people, then the total number of ways of selecting 8 people out of 19 is
[tex]^8C_{19}[/tex] = 75582
Malia and her sister walk at a constant rate of 4 miles per hour. At this constant rate, how long should it take Malia and her sister to walk 3 miles?
what is 8 (x/4 - 6) < 4
Answer:
x<26
Step-by-step explanation:
8(x/4 - 6) < 4
Divide both sides by 8;
8(x/4 - 6)/8 < 4/8
Simplify;
x/4-6<1/2
Add 6 to both sides;
x/4-6+6<1/2+6
Simplify;
x/4-6+6<1/2+6
Simplify
x/4-6+6
=x/4
Simplify;
1/2+6
Convert it into a fraction;
6*2/2+1/2
Since the denominators are equal combine the fractions;
6*2+1/2
6*2+1=13
=13/2
x/4<13/2
Multiply both sides by 4;
4x/4<13*4/2
Simplify 4x/4
4x/4
4/4=1
=x
Simplify 13*4/2
Multiply the numbers:13*4=52
=52/2
Divide the numbers:52/2=26
=26
x<26
HOPE THIS HELPED!!!
Challenge You have two spinners with colors on them. The probability of spinning green on both spinners is 5/22 the probability of spinning green on the first one alone is 1/3. What is the probability of spinning green on the second spinner alone?
Answer:
hi i know this not the answer but hope it help:)))
Step-by-step explanation:
Multiply the probabilities just calculated for each individual spinner together to find the probability of getting any specific combination of outcomes from spinning the arrows on both spinners. In the example, you would multiply 1/4 by 1/3 to obtain 1/12.
José is making fruit-filled tart shells for a party. He has 180 raspberries and 72 blueberries. The tarts will
each have the same number of berries. Raspberries and blueberries will not be in the same tart. If he puts
the greatest possible number of fruits in each tart, how many tarts can he make?
When the greatest possible number of berries is in each tart, there are
tarts in total.
Answer:
There will be 36 berries in each tart
A triangular prism is 37 millimeters long and has a triangular face with a base of 20
millimeters and a height of 24 millimeters. The other two sides of the triangle are each 26
millimeters. What is the surface area of the triangular prism?
formula- tsa of prism- 2*area of trangular base + lateral surface area
to make easy
area of trangular base = 1/2(breathe×height)
lateral surface area =
area of trangluar bases+ perimeter of trangular base
Prince bougth
bougth 50 pineapples at
0.50$ each and sold all for 31.00$
Calculate the profit on the 50 pineapples
Answer:
Answer and steps in picture.
SUPER hard question
63, 72, 81, ........ 594
n = [ (l - a)/d ] + 1
n = [(594 - 63)/9] + 1
n = (531/9) + 1
n = 59 + 1
n = 60
Answer:
n = 60
Step-by-step explanation:
Terms which are divisible by 9 between 60 and 600.
63, 72, 81, ........ 594
n = [ (l - a)/d ] + 1
n = [(594 - 63)/9] + 1
n = (531/9) + 1
n = 59 + 1
n = 60
If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB
Solve these equations.
Answer:
x=0, -28.
Step-by-step explanation:
abs(x+14)=14
x+14=14
x=14-14=0
----------------
x+14=-14
x=-14-14
x=-28
Bill buys a large can of paint. The size of the can measured in which units
Answer:
Paint is measured in gallons
Step-by-step explanation:
Find x for the problem
Answer:
I would say 12 but I am not positive
Step-by-step explanation:
The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal.
t-Test: Two-Sample Assuming Unequal Variances
Hotel 1 Hotel 2
Mean 2.214 2.0115
Variance 2.951657 3.57855
Observations 20 20
Hypothesized Mean Difference 0
df 38
t Stat 0.354386
P(T<=t) one-tail 0.362504
t Critical one-tail 1.685953
P(T<=t) two-tail 0.725009
t Critical two-tail 2.024394
A) State the null and alternative hypotheses for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
B) What is the value of the test statistic for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels? Explain how you obtain.
C) What is the critical value for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels at the 5% level of significance? Explain how you obtain.
D) Suppose α = 0.05. Which of the following represents the correct conclusion for a test on a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels?
1) There is no evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
2) There is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
3) There is no evidence that the variabilities of the amount of time required to reach a customer service representative between the two hotels are the same.
4) There is evidence that the variabilities of the amount of time required to reach a customer service representative between the two hotels are the same.
Answer:
A) H0: σ₁²-σ₂²= 0 against the claim Ha: σ₁²-σ₂²≠0
B) t= 0.3543860
C) t≥ t∝/2 ( d.f)=2.024394
D)1) There is no evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.
Step-by-step explanation:
The claim is that there is evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels which is the
alternate hypothesis
The null hypothesis is the reverse of the alternate hypothesis
The null hypothesis is that there is not enough evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.
Part A) H0: σ₁²-σ₂²= 0 against the claim Ha: σ₁²-σ₂²≠0
Part B) t= x1`-x2`/ sqrt ( s₁²/n₁ + s₂²/n₂)
t= 2.214- 2.0115/ sqrt ( 2.951657/20+ 3.57855/20)
t= 0.2025/ sqrt(0.14758285 + 0.1789275)
t= 0.2025/0.5714108
t= 0.3543860
Part C) for 2 tailed test the critical value of t is obtained by
t≥ t∝/2 ( d.f)= ± 2.024394
We look at the table with values 0.025 as ∝/2= 0.05/2= 0.025
in the degrees of freedom 38
The d.f = n1+n2-2= 20+20-2= 40-2= 38
Part D) Since the calculated value of t= 0.3543860 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.024394 we conclude that H0 is true and accept the null hypothesis.
So option 1 is correct
1) There is no evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.
Triangle ABC is formed by connecting the points A (2,6), B (6,6) and C (6,1). What is the exact length of the hypotenuse of triangle ABC? Express your answer as an entire radical.
Step-by-step explanation:
ndnndndndjdjdjdfjfjfgnn
Among the contestants in a competition are 50 women and 26 men. If 5 winners are randomly selected, qhat js the probability that they are all men?
Answer:
Probability that all winner are men = 0.0035 (Approx.)
Step-by-step explanation:
Given:
Number of women = 50
Number of men = 26
Total number winner = 5
Find:
Probability that all winner are men
Computation:
Total competitor = 50 + 26 = 76
Probability that all winner are men = 26/76 x 25/75 x 24/74 x 23/73 x 22/72
Probability that all winner are men = 7,893,600 / 2,216,980,800
Probability that all winner are men = 0.0035 (Approx.)