Which set of values could be the side lengths of a 30-60-90 triangle? A. {5, 10, 10-2} B. {5,5,12,10) O C. {5,5,5, 10) D. {5, 10, 10.5)​

Answers

Answer 1

Answer:

The hypotenuse is twice the length of the shortest side so;

A could be the answer as when 5 is shortest and 10 is hypotenuse we get 5√3 for the other side which = 8.6

It cannot be B, C or D as the numbers cannot be 2 values same as hypotenuse (the longer length) as 5 + 5 = 10 and we cant use 4 lengths in one triangle and either of 3 out of 4 values do not show ratio of lowest side any value middle value = LV +√3 and hyp LV(2)

so A is the answer.

Step-by-step explanation:


Related Questions

Mrs. Smith blinks about 450 times in 30 minutes. Samaira
blinks about 150 times in 15 minutes. How many more
times does Mrs. Smith blink per minute than Samaira?

Answers

Answer:

15 more times per minute

Step-by-step explanation:

4. Find the circumference of the circle. Use 3.14 for the value of x. Round your answer to the nearest tenth.
20 in

Answers

Answer:

18.2cm

thank you

i think

Answer:18.2cm
(don’t mind me just trying to get my points up)

Wut is (2/2 x 23.34)^3?
X means times, not varible

Answers

Answer:

12714.595704

Step-by-step explanation:

(2/2 x 23.34)^3

(1 x 23.34)^3

23.34^3

=12714.595704

Find the value of x for which the lines p and q are parallel.

Answers

Answer:

D

Step-by-step explanation:

have a good day

Answer:

D) 7

Step-by-step explanation:

Since the two angles marked are corresponding, if [tex]p[/tex] and [tex]q[/tex] are parallel, they must be equal.

Therefore, we have:

[tex]14x+18=116,\\14x=98,\\x=\boxed{7}[/tex]

A rancher has 600600 feet of fencing to put around a rectangular field and then subdivide the field into 33 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms.

Answers

Answer:

x =  150 ft

y  =   y  =  150 / 17 ft

Step-by-step explanation:

Area of the field is    A  =  x*y

Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing  x into 33 rectangles ( using 34 sides of length  y ) then the quantity of fence is:

p  =  2*x  +  34*y   ⇒   600  =  2*x  +  34*y        y  =  ( 600 - 2*x)/34

A = x*y

A (x)  =  x*  ( 600 - 2*x)/34

A (x)  = ( 600*x  - 2*x²)/34

Taking derivatives on both sides of the equation:

A´(x)  = (1/34)* ( 600 - 4*x )

A´(x)  =  0       (1/34)* ( 600 - 4*x ) = 0      600  -  4*x  = 0

x  =  600/4

x = 150 feet

And  y  =  (1/34)( 600 -  2*150)

y  =  300/34    y  =  150 / 17 ft

y  =  8.82 ft

How do we know that is a maximum area, we find the second derivative of A

A´´(x)   =    - 4/34      then  A´´(x) < 0

We get a maximum of function A for the value  x = 150

Dwayne improved his score on Commander
Quest from 65,720 to 88,722. By what percent
did his score increase?

Answers

Answer:

35%

Step-by-step explanation:

What was the numerical difference?

88722 - 65720 = 23002

Which number is the denominator for the % increase?

It must be 65720.

23002/ 65720  * 100 = 35%

So if we take 35% of 65720 and add it on  to 65720 what do we get.

35/100 * 65720 + 65720 = 88722 just as we should.

What is the following quotient?

Answers

Answer:

First option is the correct answer.

[tex] \huge{ \purple {2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]

Step-by-step explanation:

[tex] \frac{6 - 3(\sqrt[3]{6} )}{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{ {6}^{3} } - \sqrt[3]{ {3}^{3} } . \sqrt[3]{6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ {3}^{3} \times 6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ 27 \times 6} }{ \sqrt[3]{9} } \\ \\ = \sqrt[3]{ \frac{216}{9} } - \sqrt[3]{ \frac{27 \times 6}{9} } \\ \\ = \sqrt[3]{24} - \sqrt[3]{3 \times 6} \\ \\ = \sqrt[3]{ {2}^{3} \times 3} - \sqrt[3]{18} \\ \\ \huge{ \red{ = 2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]

A stack of squares has 170 squares in the bottom row, 156 in the second row from the bottom, 142 in the third row from the bottom and 128 in the fourth row from the bottom. How many squares will there be in the 11th row from the bottom ? - a table always makes these sums easier!)​

Answers

9514 1404 393

Answer:

  30

Step-by-step explanation:

The sequence of square counts is ...

  170, 156, 142, 128

The differences from one row to the next are ...

  -14, -14, -14

We see that the differences are constant, so we know the sequence is an arithmetic sequence with first term 170 and common difference -14. This means the n-th term is ...

  an = a1 +d(n -1) . . . . . . for first term a1 and common difference d

  an = 170 -14(n -1)

For n=11, the number of squares is ...

  a11 = 170 -14(11 -1) = 30

There will be 30 squares in the 11th row.

the sumof 8pq and -17 pq is​

Answers

Answer:

= -9pq

Step-by-step explanation:

=8pq + (-17pq)

=8pq-17pq

= -9pq

please help quick pleaseeee

Answers

Answer:

17

Step-by-step explanation:

Answer:

bru

Step-by-step explanation:

A house on the market was valued $234,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?

Answers

The price decreases by $288,000*(0.19)=$54,720

The current value is then $233,280.

Look below. (Will give Brainliest)

Answers

Answer:

A.

[tex] < 6 = 180 - 72 \\ = 108 \degree[/tex]

E.

[tex] < 5 = 72 \degree \\ (alternate \: angles)[/tex]

Answer:

The correct answers are

E. m< 5= 72

B. <2 = m<7

A. <6 = 108

Step-by-step explanation:

E is correct because B and C are parallel meaning that 5 and 72 are alternate interior angles.

B is correct because they are alternate exterior angles

A is correct because 180 - 72 = 108

Hope this helped

Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number

Answers

Answer:

1. Term.

2. Common difference.

3. Arithmetic sequence.

4. Sequence.

Step-by-step explanation:

1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.

2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).

3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.

4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.

Urgent
Please help!
Factorise

Answers

Answer:

a.

x²+3x-4

doing middle term factorization

x²+(4-1)x-4

x²+4x-x-4

x(x+4)-1(x+4)

( x+4)(x-1)

b.

x²-2x-3

x²-3x-x-3

x(x-3)-1(x-3)

(x-3)(x-1)

c.

x²+2x-8

x²+4x-2x-8

x(x+4)-2(x+4)

(x+4)(x-2)

a) (x-1) (x+4)
b) (x-3)(x+1)
c) (x-2) (x+4)

m: 4,y-intercept: -3

Answers

Answer:

気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。

Step-by-step explanation:

気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。

y=4x–3

y-y1=m(x-x1)

y+3=4(x-0)

y+3=4x-0

y+3=4x

y=4x-3

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.

Answers

Answer:

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract 64 from both sides

a² = 36

Take the square root of both sides

a = 6

Answer:

x²+y²=hyptneus ²

Step-by-step explanation:

length is always positive

so answer is 6

calculate the following range of scores for a continuous variable: 9,8,7,6,5,4,3,2. Use upper and lower real limits to calculate your answer.

Answers

Answer:

7

Step-by-step explanation:

Given the data :

9,8,7,6,5,4,3,2

Ordering the data from least to highest :

2, 3, 4, 5, 6, 7, 8, 9

The range of a dataset is given by :

Maximum - Minimum

Maximum value = 9

Minimum value = 2

Range of data:

9 - 2 = 7

Range = 7

Find the perimeter of the triangle whose vertices are the following specified (0,3), (-10,-4) (-9,-7) points in the plane.

Answers

Answer:

The perimeter of the triangle is 28.82

Step-by-step explanation:

Please check the image uploaded for the diagram.

Perimeter = d₁ + d₂ + d₃

[tex]d_1 = \sqrt{(-10-0)^2 + (-4-3)^2} = \sqrt{100+49} =\sqrt{149} = 12.21\\\\d_2 = \sqrt{(-9-0)^2 + (-7-3)^2} = \sqrt{81+100} =\sqrt{181} = 13.45\\\\d_3 = \sqrt{(-10+9)^2 + (-4+7)^2} = \sqrt{1+9} =\sqrt{10} = 3.16\\\\Perimeter = 12.21 + 13.45 + 3.16 = 28.82[/tex]

pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.

Answers

Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

The distance the plane traveled from point A to point B is 13510 ft

Calculation of the distance:

Here we assume the distance between A and B should be x.

Now the y value should be

[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]

y = 8808.84 ft

Now, we can find x

[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

Learn more about distance here: https://brainly.com/question/785292

Graph this following equation y=2x+3

Answers

Answer:

Step-by-step explanation:

Use Desmos, really helpful!

Answer:

Look at the images.

Fraction with a  Denominator of 60 that is equivalent to 2/3

Answers

Answer:

40

Step-by-step explanation:

you have to find the multiplier that gets 3 to equal 60, that would be 20

therefore, you then multiply the numerator by 20 also and get 40

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.

Determine which statements about the relationship are true. Choose two options.

g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The two variables cannot be labeled as independent or dependent without a table of values.

Answers

Answer: u is the dependent variable

g is the independent variable

Step-by-step explanation:

Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :

u is the dependent variableg is the independent variable

What are the  independent variables and  dependent variable?

An independent variable serves as the  variable that one can manipulate then  control,  an experimental so one can actually record the effects.

Independent variable on the other hand serves as the cause which have an independent values compare to others.

Learn more about variable at:https://brainly.com/question/3764906

#SPJ9

kelly wants to make a box in the shape of a cube.How many pieces of wood does she need? In what shape should she cut them?

Answers

she will need 6 pieces and they must all be equal square shapes

if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.​

Answers

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

What are the steps in finding the average height? Plz help ty :>

(Problem-solving questions- Calculating the average height of all the children in your class)

Answers

Answer: add all the heights and divide by number of children.

Step-by-step explanation: add all heights and divide by number of children

find integral∫cos³x dx) )?​

Answers

Answer:

sin(x)−1/3(sin3(x))+C

Step-by-step explanation:

use u substitution method to integrate

cos³(x) = cos(x) cos²(x)

… = cos(x) (1 - sin²(x))

Substitute u = sin(x) and du = cos(x) dx. Then in the integral, you get

∫ cos³(x) dx = ∫ (1 - u ²) du

… = u - 1/3 u ³ + C

… = sin(x) - 1/3 sin³(x) + C

Find the perimeter of a rectangular strip of board is 3.28m long and 7.5m

Answers

Answer:

21.56 m

Step-by-step explanation:

2(3.28) + 2(7.5)

(twos represent the sides)

6.56 + 15

= 21.56 m

Given that angle ABC=70° and that angle BCD=110°. Is it possible (consider all cases) that Line AB intersects line CD ?

Answers

Answer:

yes.

Step-by-step explanation:

#CarryOnLearning

Which expression represents the probability of choosing an item from the intersection of A and B

Answers

OPTION A is the correct answer

The intersection of event A and B is given by P( A∩B) , Option A is the correct answer.

What is Probability ?

Probability is the likeliness of an event to happen.

It is given that the Probability of two independent event A and B is given by

P(A)  and P(B)

The intersection of event A and B is given by

P( A∩B)

Therefore Option A is the correct answer.

To know more about Probability

https://brainly.com/question/12431044

#SPJ2

Plz help i need a correct answer asap

Answers

A is

[tex] | - 9| + |9| [/tex]

absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)

B ist just 18

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A man and a woman are preparing to have a child. The man finds out that his father hasHuntington's disease. Huntington's disease is an autosomal dominant disorder. The man'smother does not have Huntington's disease. The man has a sister who does not haveHuntington's disease.a. Create a pedigree for the family describe. (Be sure to shade individuals affected withHuntington's disease).b. List the genotypes on your pedigree.c. What is the probability that the male has Huntington's disease?d. If the man has Huntington's disease what is the chance he will pass the disorder to hischild? The mother of the child is unaffected. 24 rail cars is what % of 40 rail cars Which disorder is more common in males than females and shows up in social behaviors such as lying theft violence aggression and vandalism 8.Which quadratic function is shown in the graph below? I need someone who is kind enough to help with a year 7 science test for free thank you may god bless you. Use SOH CAH TOA to find the missing side. The most recent financial statements for Alexander Co. are shown here: Income Statement Balance Sheet Sales $ 45,650 Current assets $ 19,020 Long-term debt $ 37,970 Costs 36,450 Fixed assets 69,250 Equity 50,300 Taxable income $ 9,200 Total $ 88,270 Total $ 88,270 Taxes (24%) 2,208 Net income $ 6,992 Assets and costs are proportional to sales. The company maintains a constant 35 percent dividend payout ratio and a constant debt-equity ratio. What is the maximum dollar increase in sales that can be sustained assuming no new equity is issued how can you explain that algorithm and flowchart are problem solving tools? What is the axis of symmetry for the graph of y=2x^2-6x+2 You roll a fair six-sided die. What are the chances the die shows an odd number or a number greater than one? David works for a cookie company downtown. He earns $7 per hour. In a typical week, he works 22 hours. His employer provides overtime pay equal to 3 times his normal wage if he works past 40 hours. The company also provides a 8% commission on all cookies sold. How much can David make this week if he works 30 hours and sells $1100 worth of cookies State the mathematical properties of all the steps in the equation below. (2x + 3) 7 = 8 + x Problem Statement. (2x + 3) + (7) = 8 + x _____________ ((2x + 3) + (7)) + 7 = (8 + x) + 7_____________ (2x + 3) + (7 + 7) = (8 + x) +7 _____________ (2x + 3) + 0 = (8 + x) + 7 _____________2x + 3 = (8 + x) + 7 _____________ 2x + 3 = 7 + (8 + x) _____________2x + 3 = (7 + 8) + x _____________ 2x + 3 = 15 + x _____________ (2x + 3) + (3) = (15 + x) + (3) _____________ 2x + (3 + (3)) = (15 + x) + (3) _____________ 2x + 0 = (15 + x) + (3) _____________ 2x = (15 + x) + (3) _____________ 2x = (3) + (15 + x) _____________ 2x = (3 + 15) + x _____________ 2x = 12 + x _____________ 2x + (x) = 12 + x + (x) _____________ 2x + (x) = 12 + 1 x + (x) _____________ 2x + (x) = 12 + 1 x + (1) x _____________ 2x + (x) = 12 + (1 + (1))x _____________ 2x + (x) = 12 + 0 x _____________ 2x + (x) = 12 + 0 _____________ 2x + (x) = 12 _____________ 2x + (1) x = 12 _____________ (2 + (1)) x = 12 _____________ 1 x = 12 _____________ x = 12 Solution The hypotenuse of 45 -45 90 triangle measure 22/2 units what is the value of x? What is the slope of the line shown? compare the contrast or give the similarities of the differences of your experiences before and during pandemic based on the following activities below your answer will be in a car before going to school and going to market justify why a perfect market is unrealistic In relation to the reactants of a chemical reaction, the products are Q-6 List two differences between SER and RER.Q- 7 What is the chemical composition of cell wall in plants and fungi respectively?Q- 8 List two differences between SER and RER.Q- 9 What are genes? What is their function? An invasive species the spiny water fea, was recently found in a New York lake These water feas eat zooplankton a food also consumed by native fishes. TheDas spread trom lake to take by attaching to fishing lines anchor ropes, and boats which statement best describes the effect of the water tea on the lake?It will not compete with animals in the local food chainIt will feed on organisms that are important to other speciesThe number of water teas will decrease due to a lack of foodThere will be no effect on native species in the lake