solve the right triangle.

Solve The Right Triangle.

Answers

Answer 1

Answer:

b=4√10

Step-by-step explanation:

AB²=AC²+BC²

14²=b²+6²

b²=14²-6²=160

b=√160=4√10

Answer 2

delete my answer

Step-by-step explanation:


Related Questions

The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?

Answers

Answer:

54461.33 cubic feet

Step-by-step explanation:

Given data

Height of cylinder= 40 feet

Radius= 20feet

Height of cone= 10 feet

Radius of cone= 20feet

Volume of Cylinder= πr^2h

Volume of Cylinder= 3.142*20^2*40

Volume of Cylinder= 3.142*400*40

Volume of Cylinder= 50272 cubic feet

Volume of Cone= 1/3πr^2h

Volume of Cylinder= 1/3*3.142*20^2*10

Volume of Cylinder= 1/3*3.142*400*10

Volume of Cylinder= 1/3*12568

Volume of Cylinder=4189.33 cubic feet

Hence, the volume of the silo = volume of cylinder+ volume of cone

Volume of silo= 50272+4189.33

Volume of silo=54461.33 cubic feet

Given the function: f (x) = (3 x + 4) minus (2 minus x) Evaluate for f (5). a. 22 b. 15 c. 16 d. 30 Please select the best answer from the choices provided A B C D

Answers

Answer:

A.22 is the answer

Step-by-step explanation:

When it says "f(5)", it is basically saying that what is the y-value if the x-value is 5. To find the y-value, we need to substitute 5 in for the variables. I have provided you with the steps.

Write the missing terms (in the given order of missing):
3x-___+ ____+5y = 5x - y


A. 2x and 4y
B. 4y and 5x
C. 6y and 2x
D. 2x and 6y​

Answers

C. 6y and 2x

_____________________________

3x - 6y + 2x + 5y =

3x + 2x + 5y - 6y =

( 3 + 2 )x + ( 5 - 6 )y =

5x - y

Solve the equation below. Show all your steps

5x−8=17

Answers

5x=17+8
5x=25
X=25/5
X=5

Answer:

x=5

Step-by-step explanation:

Add 8 on both sides first. Then divide both sides by 5 to isolate the variable.

5x-8=17

add 8 to both sides

5x=25

divide by 5 on both sides

x=5

What is the answer if you Factor 4x^2-256

Answers

Answer:

4(x + 8)(x - 8)

Step-by-step explanation:

We can start by finding the GCF of both terms. We can notice that both terms are divisible by 4, so we can factor it out:

4(x^2 - 64)

Now, we can notice that x^2 - 64 resembles the special product a^2 - b^2 which factors to (a + b)(a - b). In this case, a^2 = x^2 and b^2 = 64.

So,

a = x

b = 8

We can substitute:

(a + b)(a - b)

(x + 8)(x - 8)

We can add the 4 from the beginning in to get:

4(x + 8)(x - 8)

Answer:

x = -8 and 8

Step-by-step explanation:

1st we can factor out a 4 so we get

0 = 4(x^2 - 64)

now can either factor it out some more or just solve for x.

if we factor it out more we get

0 = 4(x + 8)(x - 8)

we got x + 8 and x - 8 because 64 is a perfect root and it was negative. now we solve for x.

x = 8, x = -8

would it be B or C? help me please :(

Answers

The answer is c, all of them will be equal to 3x except it

Answer:

2x^2

Step-by-step explanation:

2x+x

3x

x(2+1)

2x+x

3x

2x^2(no equivalent to other option)

3x

10 A triangular prism and its dimensions are shown in the diagram.
5 cm
5 cm
8 cm
6 cm
What is the lateral surface area of this triangular prism in square centimeters?

Answers

The answer to your problem is 128

Complete the square for the function y = x2 + 6x +7. Which features are correctly stated?
A)
Axis of symmetry at x = -2
B)
Minimum = -2 at x = -3
Vertex form: (x + 3)2 - 2
D)
Zero at x = = √2-3
E)
Zero at x = 3-VE

Answers

Answer:

B and C

Step-by-step explanation:

The square for the function; [tex]y = x^2 + 6x +7[/tex] . Hence, the Vertex form of the function is [tex](x + 3)^2 - 2[/tex]. The function will be zero at  x = 3- √E

What is a system of equations?

A system of equations is two or more equations that can be solved to

get a unique solution. the power of the equation must be in one degree.

The square for the function;

[tex]y = x^2 + 6x +7[/tex]

Minimum = -2 at x = -3

Hence, the Vertex form of the function is [tex](x + 3)^2 - 2[/tex].

The function will be zero at  x = 3- √E

Learn more about equations;

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ASAP
-WILL MARK BRIANIST

Answers

Answer:

part A: 83-8=75

part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!

Step-by-step explanation:

find the zeros the polynomial fx=2x^2 +9x-5​

Answers

Answer:

The zeros the polynomial :

X=(1/2 , –5)

Maria put 18 crayons in 3 different baskets. She put the number of crayons in each basket.

How many crayons did Maria put in each basket?

Answers

Answer:

There are 18 crayons, and 3 baskets. Each basket has the same number of crayons. Therefore, we divide 18 into 3 different groups (each group = each basket). So, we have 18 ÷ 3, which is 6.

So, there are 6 crayons in each basket.

Answer:

6

Step-by-step explanation:

The line passes through the points (0, 2) and (-2, 2) is parallel to the line:

Answers

Answer:

Undefined

Step-by-step explanation:

you can't divide by 0

(-2-0)/(2-2)

what is the local maximum over the interval [-3, 1.5] for the graphed function?

A) 0
B) 56
C) -11.4
D) 2​

Answers

Answer:

56

Step-by-step explanation:

It's tempting to use the local maximum at the point (2, 0), but x = 2 is outside the interval given in the question!

Answer:

B) 56

Step-by-step explanation:

A researcher conducts an independent-measures, two-factor study with two levels of factor A and three levels of factor B, using a separate sample of n = 10 participants in each treatment condition. What are the df values for the F-ratio evaluating the main effect of factor A? (Hint: Enter in the degrees of freedom for the numerator first and the degrees of freedom for the denominator second.)

Answers

Answer:

(1, 36)

Step-by-step explanation:

Degrees of freedom for the F-test of the two way ANOVA

Here, we use a two factors, independent measures ANOVA, where, factor [tex]A[/tex] has 2 level and a factor [tex]B[/tex] also has 2 levels.

So, here,

[tex]$k_1$[/tex] = number of levels of A = 2

[tex]k_2[/tex] = number of levels of B = 2

And n = sample size in each treatment condition = 10

So we have,

[tex]d_1[/tex] = df of the main effect A = ([tex]$k_1$[/tex] - 1) = 2 - 1 = 1

[tex]d_2[/tex] = df of the main effect A = ([tex]$k_2$[/tex] - 1) = 2 - 1 = 1

[tex]d_3[/tex] = df of interaction effect (A x B) = ([tex]$k_1$[/tex] - 1)([tex]$k_2$[/tex] - 1)

                                                        = (2-1)(2-1)

                                                         = 1

And [tex]d_4[/tex] = df of within variation (i.e. error variation) = [tex]$k_1k_2(n-1)$[/tex]

                                                                                 = 2 x 2 x (10 - 1)

                                                                                  = 36

So, the df value for the F-ratio evaluating the main effect of factors-A is

=  ([tex]d_1, d_4[/tex])

= (1, 36)

a sequence of transformation is applied to a polygon. Select all statements which indicate a sequence of transformations where the resulting a polygon has an area greater than the original polygon.

A. Translate even units left, rotate 90 degrees clockwise about the origin.

B. Reflect over the x-axis, dilate about the origin by a scale factor of 1/2 translate up 5 unit.
C. Rotate 90 degrees counterclockwise around the origin, dilate about the origin by a scale factor of 3/2

D. Dilate about the origin by a scale factor of 2/3. rotate 180 degrees clockwise around the origin, translate down 2 units.

E. Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3

Answers

Answer:

than originally shared this meeting will



3. At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is taken.

What is the probability that 3 of those chips are defective?

.

Answers

Answer:

Probability of three chip being defective is 0.012

Step-by-step explanation:

Probability of a computer chip being defective is 0.08 or 8%

Total random sample = 20

Probability of three chip being defective = 3/20 * 0.08

= 0.012

Answer:

B) 0.14

Step-by-step explanation:

N=20

K=3

P=0.08

CoE= 1140

1140 x (0.08)^3 x (.92)^17

1140 x (0.000512) x (0.2423) = 0.141425 or B

Which could be the missing data item for the given set of data if the median of the complete data set is 15?

11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14

A: 16
B: 18
C: 20
D: 11

Answers

Answer:

A: 16

Step-by-step explanation:

its in between

Two searchlights on the shore of a lake are located 3020 yd apart. A ship in distress is spotted from each searchlight. The beam from the first searchlight makes an angle of 38 degrees with the baseline. The beam from the second light makes an angle of 57 degrees with the baseline. Find the ship's distance from each searchlight.

Answers

Answer:

x₁   =   1866.2 yd   distance between ship and searchlight in C

x₂  = 2542.5 yd .  distance between ship and searchlight in B

Step-by-step explanation:

The ship (point A) and the two searchlights points  ( B  and C) shape a triangle.

We have  α  =  38°  ( opposite side x₁ or distance between ship and point C  and  β =  57 ° ( opposite side x₂ or distance between ship and point B     then γ =  180 -  ( α  +  β )

γ  =  85°

Applying sin´slaw

x₁ / sin 38   =   x₂/ sin57  =  3020 / sin 85

from sin table we find:

sin 38  =  0.6156

sin 57  =  0.8387

sin 85  =  0.9962

Then

x₁  /  0.6156  =  3020 / 0.9962

x₁  ( the opposite side to angle 38° ) /  0.6156 =  3031.5

x₁  =  3031.5*0.6156

x₁   =   1866.2 yd

x₂  =  3031.5 * 0.8387

x₂  =  2542.5 yd

He sum of two numbers is negative twelve​, and one number is five​ less than the other. Using the variables mm​ and nn​ to represent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by a comma.

Answers

Answer:

mm + nn = -12

mm - nn = 5

Step-by-step explanation:

two equations can be derived from the question

Help me with this below

Answers

Answer:

PlayStation = 175

Step-by-step explanation:

X box = x

PlayStation = x+15

X box + PlayStation = 335

x + x+15 = 335

Combine like terms

2x+15 = 335

Subtract 15

2x+15 -15 = 335-15

2x = 320

Divide by 2

2x/2=320/2

x =160

x box =160

PlayStation = x+15 = 160+15= 175

Answer:

Playstation costs 175 pounds

Step-by-step explanation:

335 = 15 + x + x

335 = 15 + 2x

335 - 15 = (15 - 15) + 2x

320 = 2x

320/2 = 2x/2

x = 160

CHECK WORK:

(15 + 160) + 160 = 335

(175) + 160 = 335

335 = 335

rite 4 and 5 as a percentage​

Answers

Answer:

4/5 as a percentage is 80%

if you want to write 4 and 5 as a percentage . . .

You can't do that

The sum of the measures of angle P and angle Q in 180°. The measure of angle P is (4x + 12)°. The measure of angle Q is (2x - 24)°. What is the value of x?

Answers

Answer:

32

Step-by-step explanation:

Given

m<P = 4x+12

m<Q = 2x-24

If the sum of P and Q is 180, then;

4x+ 12 + 2x - 24 = 180

4x+2x+12-24 = 180

6x - 12 = 180

6x = 180+12

6x = 192

x = 192/6

x = 32

Hence the value of x is 32

A spinner is divided into 10 equal parts and numbered 1-10. Four of the parts are colored blue, four parts are colored red, and two parts are colored green.

What is the probability of spinning a 6? Write your answer as a decimal.

Answers

theres a slight chance of spinning a 6 0.06

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Answers

Answer:

Step-by-step explanation:

Sp of an article= Rs 2300

profit%=15%

let Cost Price of an article be X

SP=CP+PROFIT %*CP

2300=X+15/100*X

2300=100X+15X/100

2300*100=115X

230000/115=X

2000=X

Therefore cost price of an article is Rs 2000.

Lara charges $12 per hour for babysitting. If f represents Lara's total fee after babysitting for h hours, which answer choice shows two correct equations that could be used to model the problem?

A: f=112handh=12f
B: h=112fandf=12h
C: f=h+12andh=f−12
D: h=f+12andf=h−12

Answers

Answer:

Can't really read that but these would work

f = 12h

h = f/12

Step-by-step explanation:

PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST! TY BESTIES! Factor using GCF 20x^2+10x please show work

Answers

Answer:

10x(2x+1)

Step-by-step explanation:

20x^2+10x

2*10*x*x + 10 *x

Factor out the common terms

10x(2x+1)

Given k > 3 and
( +
2x+2) dx = 10k
show that k3 – 10k2 + ak + b = 0
where a and bare constants to be found.

Answers

Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]\displaystyle \int_3^k\left(2x+\frac{6}{x^2}\right)\, dx = 10k, k>3[/tex]

And we want to show that:

[tex]k^3-10k^2+ak+b=0[/tex]

Integrate the definite integral:

[tex]\displaystyle x^2-\frac{6}{x}\Big|_{3}^{k}=10k[/tex]

Evaluate:

[tex]\displaystyle \left(k^2-\frac{6}{k}\right)-((9)-(2))\right)=10k[/tex]

Simplify:

[tex]\displaystyle k^2-\frac{6}{k}-7=10k[/tex]

Multiply both sides by k:

[tex]k^3-6-7k=10k^2[/tex]

Rewrite:

[tex]k^3-10k^2-7k-6=0[/tex]

Hence, a = -7 and b = -6.

Austin is baking a pie in a pan that has a diameter of 8 inches. He wants to cover the top of the pie with a pie crust. What is the area of the crust that will cover the top of the pie?

Answers

Area of circular crust is pi*r^2 where r is the radius. Radius is one half diameter so area of crust is pi*(diameter/2)^2 = pi*(8/2)^2 = pi*4^2 = pi*16

The area of the crust that will cover the top of the pie is 50.24 square inches.

What is a circle?

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The baking pan is in the shape of a circle.

The diameter of a baking pan = 8 inches

So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]

⇒ [tex]r=\frac{8}{2}[/tex]

⇒ [tex]r=4[/tex]

The area of the crust that will cover the top of the pie is

[tex]A=\pi r^{2}[/tex]

we know that the value of π is 3.14.

On substitute the above values,

⇒ [tex]A=(3.14)(4)^{2}[/tex]

⇒ [tex]A=(3.14)(16)[/tex]

⇒ [tex]A=50.24[/tex]

Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.

Learn more about circles here

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b) 6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If 6a makes $30 AED profit how much will 6b make?

Answers

Answer:

45

Step-by-step explanation:

6a 6b

2 / 3

30 / x

30×3  / 2

90/2

=45

An SRS of 100 flights by Nite-flite Airlines showed that 64 were on time. An SRS of 100 flights by Waxwing Airlines showed that 80 were on time. Let pN be the proportion of on-time flights for all Niteflite Airline flights, and let pW be the proportion of all on-time flights for all Waxwing Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines

Answers

Answer:

Step-by-step explanation:

pN = 64/100 = 0,64 = 64%

pW = 80/100 = 0,8 = 80%

The planes of Waxwing airlines are more punctual

Other Questions
During year 8, Clark Company manufactured equipment for its own use at a total cost of $2,400,000. The project required the entire year to complete and all costs were incurred uniformly throughout the year. At the beginning of the period, Clark was able to borrow $1,500,000 at 6% specifically for the purchase of materials and the manufacture of the equipment. The entire debt, with interest was repaid on December 31, year 8, replaced with a long-term loan. Throughout year 8, Clark Company had additional debt of $1,000,000 with a weighted average interest rate of 7%. If Clark Company capitalizes the maximum amount of interest allowable under GAAP, how much will Clark report as interest expense in year 8 what made the caravel a good ship for exploration "In the brush houses by the shore Kino's neighbors sat long over their breakfasts, and they spoke of what they would do ifthey had found the pearl. And one man said that he would give it as a present to the Holy Father in Rome. Another said thathe would buy Masses for the souls of his family for a thousand years. Another thought he might take the money anddistribute it among the poor of La Paz; and a fourth thought of all the good things one could do with the money from thepearl, of all the charities, benefits, of all the rescues one could perform if one had money. All of the neighbors hoped thatsudden wealth would not turn Kino's head, would not make a rich man of him, would not graft onto him the evil limbs ofgreed and hatred and coldness."What does this conversation between the townspeople reveal about society? What theme is this conversation hinting at? health education has to be free from fatal diseases . justify this statement with logic In a situation where an individual consumes too much of a nutrient to the point of toxicity, how long would it take for the effects to be reversed? Please provide an example of a toxicity disease with long and short-term effects. Write the equation of a circle with radius 9 and center (6, 4) in standard form. Concepts: What key concepts or ideas do you think are important and worth holding on to from the text? Can someone help me with this? (poder) recomendarme el mejor plato de este"Ustedrestaurante?""Por supuesto, Seor. Le recomiendo la paella. A usted le(gustar) la paella vegetariana o la de mariscos?" What is the 2nd term of the linear sequence below? 5 , 8 , 11 , 14 , 17 , . . . 10 mi7 mi7 miI need the volume for Could someone please help me with this? Show all your work & I would mark you Brainliest:) What type of man did Roy expect Dana's father to be are pigs able to fly if not please explain why. THis one too please in the pic ill give brainlesslt Plssss help will give brainleast help Suppose you are buying your first condo for $250,000, and you will make a $30,000 down payment. You will finance the remainder with a 30-year, monthly payment, amortized mortgage at a 6% nominal interest rate, with the first payment due in one month. What will your monthly payments be Which equation represents a line which is parallel to the line 3x - y = 6? factor each polynomial -28y^2-12y^5 please please please help me ill mark you brainlist last question