An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 13 inches, and the length of the base is 8 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch

Answer:

Option C, both functions have an y-intersect equal to 2.

Step-by-step explanation:

When we have a function f(x), the y-intercept is the value f(0). This is the point where the graph of the function intersects the y-axis.

Then, for f(x) = -x^2 + 5*x + 2

The y-intercept is:

f(0) = -0^2 + 5*0 + 2 = 2

f(0) = 2

And for g(x) we do not have the equation, but we have the graph, so we can just look at which value of y does the graph intersects the y-axis.

We can see that the graph intersects the graph at y = 2

Then the y-intersect is: g(0) = 2

So both functions have the same y-intersect. Then the correct option is C.

Answer: I got answers A, B and E

Step-by-step explanation:

The correct three statements are supported by Joseph's data are as follows;

Joseph should plan for around 560 students at each dance based on the data.

The dances will be attended by around 700 of the students that attend the school.

Out of the 800 students, 288 do not like to attend dances after the football games.

A data set is a collection of numbers or values that relate to a particular subject.

Joseph attends a school that has 800 students. He is in charge of school dances this year.

He surveyed a random sample of 100 students and got the following feedback.

1. Here 7/10 of the students would attend any of the dances held at the school.

[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]

Joseph should plan for around 560 students at each dance based on the data.

2. 18% of the students are not allowed to attend dances at school.

[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]

The dances will be attended by around 700 of the students that attend the school.

3. 64% of the students think that the dances should be held after football games.

[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]

Out of the 800 students, 288 do not like to attend dances after the football games.

Learn more about data set here;

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Answer:

1. Linear pair

2. Adjacent

3. Complementary

4. Adjacent

Step-by-step explanation:

Problem 1:

Angles a and b are on a straight line. Therefore, the relationship between them can be referred a LINEAR PAIR.

Problem 2:

Angles a and b share the a common vertex and same side. Therefore, both angles can be side to be ADJACENT to each other.

Problem 3:

Angle a + angle b = 90°

Therefore, they are COMPLEMENTARY angles.

Problem 4:

angles a and b share the same side and a common vertex. They are ADJACENT angles.

Answer:

[tex]V=2143.57\ mm^3[/tex]

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]

So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].

Answer:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

Step-by-step explanation:

please mark this answer as brainliest

Answer:

$18,781.5

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Loan amount (P) = $15,000

Rate of interest (r) = 23%

Time (t) = 5 years

Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,

Final amount = P  [tex](1 + ( r/t))^{t}[/tex]

by putting the value in formula, we get

= $15,000 (  [tex](1 + ( 0.23/5))^{5}[/tex]

= $15,000 × 1.2521

= $18,781.5

Answer:

36 sq ft

Step-by-step explanation:

A=bh

A=(12)(3)

A=36

Answer:

36

Step-by-step explanation:

base=12

height=3

3 times 12 equals 36

Answer:

[tex]a_4=-1271[/tex]

Step-by-step explanation:

We are given that:

[tex]a_1=10[/tex]

And:

[tex]a_{n+1}=-5a_n-1[/tex]

And we want to find:

[tex]a_4[/tex]

This is a recursive formula. So we can simply substitute in each value. For instance, a₂ will be:

[tex]a_2=a_{(1)+1}=-5a_{1}-1=-5(10)-1=-51[/tex]

Thus, a₃ will be:

[tex]a_3=a_{(2)+1}=-5a_2-1=-5(-51)-1=254[/tex]

Finally, a₄ will be:

[tex]a_4=a_{(3)+1}=-5a_3-1=-5(254)-1=-1271[/tex]

Answer:

Slope = 2, Y-intercept = (0, 5)

Step-by-step explanation:

First, isolate y by moving all other terms to the other side of the equation.

2y - 4x - 10 = 0 ⇒ 2y = 4x + 10 ⇒ y = 2x + 5

The coefficient next to the x tells you the slope and the constant on the end tells you the y-intercept.

Therefore, the slope is 2 and the y-intercept is (0, 5).

Answer:

slope=2 ,y-intercept=5

Step-by-step explanation:

2y-4x-10=0

2y=4x+10+0

2y=4x+10 .  divide both sides by 2

y=2x+5

Answer: The answer is 1,853 <3

Step-by-step explanation:

Answer:

(2,0)

Step-by-step explanation:

the answer is 432 because 24 times 18 is 432

Your welcome ;)

Answer:

Step-by-step explanation:

it's the base * height , where height = 24 cm for this question & base =18 cm

24*18 = 432 [tex]cm^{2}[/tex]

Step-by-step explanation:

1) solution

Hypotenous(h)=?

perpendicular(p)=16

base(b)=12

By using formula

h^2 = p^2 + b^2

h^2 = 16^2 + 12^2

h^2 = 256 + 144

h^2 = 400

h^2 = 20^2

h = 20

therefore hypotenous (h) is 20

2) solution

hypotenous = (?)

perpendicular=(77)

base=(36)

by using formula

h^2 =p^2 + b^2

h^2=77^2+ 36^2

h^2=5929+1296

h^2=7225

h^2=85^2

h=85

therefore hypotenous (h) is 85

Answer:

Gross pay when she works 46 hours a week = 532 dollars per week

Step-by-step explanation:

Complete question

Find gross pay when she works 46 hours a week

Solution

For working hours less than or equal to 40 hours, kim earns 10.90  per hour

For working hours higher than the basic 40 hours of working, the per hour rate increases by 1.5 time = 1.5 *10.90 = 16 dollars per hour

Gross pay for 46 working hours = 40 *10.90 + 6*16 =  532 dollars per week

Answer:

In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]

For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.

For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]

A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]

A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).

Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]

Answer:

1/12 or 0.0833333333

Step-by-step explanation:

0.5 probability of getting heads

1/6 probability of getting a 5

1/6 * 1/2 = 1/12

Answer:

answer: x = 55

Step-by-step explanation:

Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125

180 - 125 = 55 Hope this helps!

Answer:

x = 55°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180° for x

x = 180° - (98 + 27)° = 180° - 125° = 55°

Answer:

C

Step-by-step explanation:

6.3/3 = 2.1

12.6/6 = 2.1

18.9/9 = 2.1

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.

Answer:

Hello! answer: 180

Step-by-step explanation:

what I did to find answer is cut them into pieces I cut the m into 3 pieces and now just have to multiply my base x height so for the left one I did 12 x 6 = 72 for the middle I did 6 x 6 = 36 and for the right one I did 12 x 6 = 72 I add these up so...

72 + 36 + 72 = 180 so the surface area is 180! I hope this helps!

Answer:

nonrigid and segement lengths

Step-by-step explanation:

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Answer:

D) 8x - 6y = 18

Step-by-step explanation:

The general equation of a line is;

y = mx + c

m is the slope and c is the y-intercept

so for;

4y + 3x = 12

4y = -3x + 12

divide through by 4

y = -3/4x + 3

the slope here is -3/4

To get the other line, we divide -1 by the slope of the first line

This is because when two lines are perpendicular, the product of their slopes is -1

So the slope of the line we are looking for is -1 divide by -3/4 = 4/3

Let us take a look at option D

8x - 6y = 18

6y = 8x - 18

divide through by 2

3y = 4x - 9

divide through by 3

y = 4/3(x) - 3

So as we can see, we have our slope as 4/3 and this option is our answer

Answer:

C

because it looks right

Answer:

1/36

Step-by-step explanation:

On the first cube, there is a 1/6 probability to roll a 1. On the second cube, theres is a 1/6 probability to roll a 6

Multiply the two fractions and it would equal 1/36

There would be a 1/36 probability.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

9

Step-by-step explanation:

All you have to do is subtract the temperatures once you get the final answer for them.

4 days, -7°C, = 43°C

5 days, -6°C, = 34°C

43 - 34 = 9

9°C = 9

~ LadyBrain

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

Step-by-step explanation:

Hope it's helpful to you dear frnd ☺️

Answer:

A ≈ 40.3 cm²

Step-by-step explanation:

The area of right Δ ACD is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 50.5, b = CD and h = AC , then

[tex]\frac{1}{2}[/tex] × 14 × AC = 50.5

7 AC = 50.5 ( divide both sides by 7 )

AC ≈ 7.214

The area of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × BC × AC × sin36°

  = 0.5 × 19 × 7.214 × sin36°

  ≈ 40.3 cm² ( to 3 sf )

9514 1404 393

Answer:

  64.2 cm²

Step-by-step explanation:

The length AC is found from ...

  Area of ACD = (1/2)(AC)(CD)

  80.5 cm² = (1/2)(AC)(14 cm)

  AC = 80.5 cm²/(7 cm) ≈ 11.5 cm

__

The area of ∆ABC is ...

  Area ABC = (1/2)(CB)(CA)sin(C)

  = (1/2)(19 cm)(11.5 cm)sin(36°) ≈ 64.2 cm²