Find the area and perimeter of the triangle below if a = 164 feet, b=221 feet, c=352 feet, and h=76 feet

3x-5y=8     2x+5y=22

Solve second equation for x; first subtract 5y from each side.

2x=-5y+22    (Divide by 2)

x=-5/2y+11   (Substitute into x into the first equation)

3 (-5/2y+11)-5y=8  (Simplify )

-15/2y +33-5y=8   (Combine like terms)

-25/2y+ 33=8   -25/2y=-25  (Divide each side by -25)

1/2y=1    y=2    Therefore 3x-5(2)=8   3x-10=8   3x=18   x=6

x=6, y=2

- Hope this helps!

Danielle xo

Are you asking what the 8 equal parts are ? If so 100/8=12.5

Dividing 100% into 8 equal parts means each part is 12.5% of the whole, showcasing a basic division of percentages.

The question "100% with 8 equal parts" involves dividing a whole into equal portions, which is a fundamental concept in mathematics. When we talk about 100% as being the whole, dividing it into 8 equal parts means we are essentially finding what 1/8th of this whole is, percentage-wise.

To calculate, we understand that 100% divided by 8 equals 12.5%. Therefore, each part of the 8 equal divisions of the whole is 12.5% of that whole. This is a simple percentage division problem and is relevant in understanding fractions, percentages, and their practical implications in everyday scenarios.

Answer:

The mass of the rubber ball is 169.5 g

Step-by-step explanation:

we know that

The density is equal to the ratio of the mass by the volume

D=m/V

Solve for m

m=D*V

In this problem we have

V=113 cm³

D=1.5 g/cm³

substitute

m=1.5*113=169.5 g

Answer:

She will pay more

Step-by-step explanation:

because if you multiply 19x12 you get 228 which is more than 190.

Miss Lacey will pay more than $190 for a year of gym membership because 12 months multiplied by $19 per month equals $228, which is greater than $190.

To determine if Miss Lacey will pay more or less than $190 for a year of gym membership, we need to calculate the total cost for one year. Since a year has 12 months, and the membership cost is $19 per month, we multiply the monthly cost by the number of months in a year:

Annual cost = $19 per month × 12 months

Therefore, the annual cost is:

$19 × 12 = $228

Comparing the annual cost to $190, we find that Miss Lacey will pay more than $190 for a year of gym membership, since $228 is greater than $190. This calculation exemplifies a straightforward mathematical operation involving multiplication and comparison.

Answer:  Option B

[tex]F (x) = x ^ 4-x ^ 2 + 4[/tex]

Step-by-step explanation:

We have the function [tex]G (x) = x ^ 4-x ^ 2[/tex] and we know that it contains the point (0,0). That is, it cuts the y axis and y = 0

Then the graph of F(x) is shown in the image and we know that it is a transformation of F(x).

The function F(x) cuts the y axis and y = 4.

For this reason we can conclude that the function F(x) is the function G(x) displaced 4 units upwards.

The transformation that shifts the graph of a function k units upwards is:

[tex]F (x) = G (x) + k[/tex]

Where [tex]k> 0[/tex].

In this case k = 4. Therefore:

[tex]F (x) = G (x) +4\\\\F (x) = x ^ 4-x ^ 2 + 4[/tex]

The answer is Option B

Yea u have to do that the most effective is the 10 bc penny is right

The Yearling, a novel by Marjorie Kinnan Rawlings, tells of Jody's bond with a deer despite family conflict over crop damage.

Combining sentences 8 and 9:

(8/9) Jody feels sorry for the orphan and brings it to the family farm, but his parents start to hate it after it begins eating the family’s crops.

Starting sentences with different parts of speech:

(1) One of my favorite novels is The Yearling.

(2) By Marjorie Kinnan Rawlings, it captures my imagination.

(3) About a yearling, which is a young deer or fawn, it unfolds.

(4) Taking place in Florida during the 1870s, it immerses readers in its setting.

(5) An interesting plot it possesses.

(6) During a hunting trip, a boy named Jody finds the yearling.

(7) Jody’s father, Penny, had shot the fawn’s mother without realizing that it had a baby.

(8/9) Jody feels sorry for the orphan and brings it to the family farm, but his parents start to hate it after it begins eating the family’s crops.

(10) Finally, Penny orders Jody to get rid of the deer because it is destructive, but Jody refuses to obey his father.

Lengthening sentence 10 by adding detail:

(10) Finally, Penny, frustrated by the relentless destruction wreaked by the deer on their precious crops, sternly orders Jody to get rid of the deer, demanding obedience from his son. However, defying his father's command, Jody adamantly refuses to part ways with his beloved companion.

Answer:

(7, -2.4). (3,8,1) = 9

The vectors are not perpendicular

Step-by-step explanation:

The  inner product between two vectors A = {a, b, c} and B = {d, e, h} is:

[tex]A * B = a * d + b * e + c * h[/tex]

In this case the vectors are (7, -2,4) and (3,8,1). Then the product point is:

[tex](7, -2,4). (3,8,1) = 7 * 3 + (- 2) * 8 + 4 * 1\\\\(7, -2.4). (3,8,1) = 9[/tex]

The dot product between two vectors is equal to zero only if the vectors are perpendicular to each other.

In this case the dot product is nonzero, therefore the vectors are not perpendicular

Volume of tissue box with 17 cm height and 8 cm side length base is 1088 cubic centimeters.

To find the volume of the tissue box, you can use the formula for the volume of a rectangular prism:

Volume = Base Area × Height

Since the base of the tissue box is a square, you can find the area of the base by squaring the side length:

Base Area = Side Length^2

Then, you multiply the base area by the height of the tissue box:

Volume = Base Area × Height

Let's plug in the values:

Side Length = 8 cm

Height = 17 cm

First, find the base area:

Base Area = 8 cm × 8 cm = 64 cm²

Then, calculate the volume:

Volume = 64 cm² × 17 cm = 1088 cm³

So, the volume of the tissue box is 1088 cubic centimeters.

The complete question is here:

A tissue box that has a height of 17 cm and that has a square base with a side length of 8 cm. What is the volume of a box of tissue?

Answer: 5 5/6 feet per rotation

Step-by-step explanation:

d/t=175/30=5 5/6

Answer:

6

Step-by-step explanation:

The difference between the third quartile and first quartile is known as interquartile range.

The upper quartile is the median of upper half of the data.

The lower quartile is the median of lower half of the data.

Let's arrange in least to greatest:

4,5,6,6,7,8,9,9,10,10,12,12,14,15

The upper half of the data is 9,10,10,12,12,14,15

The median is the 4th number here, so 12. Thus, third quartile = 12

The lower half of the data is 4,5,6,6,7,8,9

The median is the 4th number here, so 6. Thus, first quartile = 6

Interquartile range (difference in third quartile and first quartile) = 12 - 6 = 6

Answer:

[tex]a_0 = -8[/tex]

[tex]a_1=-6[/tex]

[tex]x^2 +y^2 -8x - 6y = 0[/tex]

Step-by-step explanation:

The equation of the circle has the following form

[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]

The equation of the circle has the following form

We know that the circle goes through the following points

(1, 7)

(8, 6)

(7, -1).

Then we substitute the values of x and y in the equation

For (1, 7)

[tex](1)^2 + (7)^2 + a_0(1) + a_1(7)=0[/tex]

[tex]1 + 49 + a_0 + 7a_1=0[/tex]

[tex]a_0 + 7a_1=-50[/tex]    (1)

For  (8, 6)

[tex](8)^2 + (6)^2 + a_0(8) + a_1(6)=0[/tex]

[tex]64 + 36 + 8a_0 + 6a_1=0[/tex]

[tex]8a_0 + 6a_1= -100[/tex]    (2)

With these equations is enough to solve the system

[tex]a_0 + 7a_1=-50[/tex]    (1)

[tex]8a_0 + 6a_1= -100[/tex]    (2)

Multiply the equation (1) by -8 and add it to the equation (2)

[tex]-8a_0 - 56a_1=400[/tex]    (1)

[tex]8a_0 + 6a_1= -100[/tex]    (2)

-----------------------------------------------------

[tex]-50a_1 = 300\\\\a_1 = -6[/tex]

Then

[tex]a_0 + 7(-6) = -50\\\\a_0 = -50+42\\\\a_0=-8[/tex]

Finally the equation is:

[tex]x^2 +y^2 -8x - 6y = 0[/tex]

Answer:

Probably that they are both the same length!

Answer:

they are congruent

Step-by-step explanation:

Find the Greatest Common Factor (GCF)

GCF = 5x^2

Factor out the GCF. (Write the GCF first. Then in parenthesis, divide each term by the GCF)

5x^2(5x^4/5x^2 + 10x^3/5x^2 + -175x^2/5x^2)

Simplify each term in parenthesis

5x^2(x^2 + 2x - 35)

Factor x^2 + 2x - 35

= 5x^2(x - 5)(x + 7)

Answer: 48.6 degrees

Step-by-step explanation:

Here we use the sin(-1) which is opp/ hypt. We get the ratio of 3/4 and put in our calculator .75 sin(-1) and get the output 48.59, which is rounded to 48.6.

Answer:

0.87

Step-by-step explanation:

3 - 0.39 = 2.61

2.61 : 3 = 0.87

To find the cost of one bag of crisps, subtract the change from the amount paid for the biscuits to find the cost of the biscuits in pence, then divide by three since three bags of crisps cost the same as one pack of biscuits. The cost of one bag of crisps is 87 pence.

The student is asking for the cost of one bag of crisps in pence, given that three bags cost the same as one pack of biscuits. Tom paid the shopkeeper £3 for a pack of biscuits and received 39p as change.

First, we calculate the actual cost of the biscuits:

£3 paid - £0.39 change = £2.61 or 261p (since 1 pound equals 100 pence)

Next, we know that this cost is equal to three bags of crisps, so:

261p / 3 bags = 87p per bag

Therefore, the cost of one bag of crisps is 87 pence.

Answer:

Hi! Next time attach all possible answers in media form. Check attachment for the answer. Please mark brainliest I'm trying to get to next rank, have a good day. Message me if you ever need more help.

Answer:

C

Step-by-step explanation:

You count the boxes lol

Answer: C) 15 units 2

Step-by-step explanation: Count the number of squares! It is super easy!

Answer:

Option C.

The zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

we have

[tex]g(x)=x^{2}-576[/tex]

we know that

To find the zeros, equate the equation to zero

[tex]x^{2}-576=0[/tex]

[tex]x^{2}=576[/tex]

square root both sides

[tex]x=(+/-)24[/tex]

therefore

[tex]0=(x+24)(x-24)[/tex]

Answer:

C. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

[tex] \frac{15}{2} g - 7 = \frac{3}{5} \\ \\ \\ 1. \: \frac{15g}{2} - 7 = \frac{3}{5} \\ 2. \: \frac{15g}{2} = \frac{3}{5} + 7 \\ 3. \: \frac{15g}{2} = \frac{38}{5} \\ 4. \: 15g = \frac{38}{5} \times 2 \\ 5. \: 15g = \frac{76}{5} \\ 6. \: g = \frac{ \frac{76}{5} }{15} \\ 7. \: g = \frac{76}{5 \times 15} \\ 8. \: g = \frac{76}{75} [/tex]

Answer:

The measure of the third angle is 25°

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

Let

x----> the measure of the third angle

90°+65°+x=180°

Solve for x

155°+x=180°

x=180°-155°

x=25°

Answer:

For example, the function [tex]y=x^{2}[/tex] does not have a y-intercept of (0, 1). To prove this, let's make x=0, and if the value of 'y' is different from 1, then, the graph does nt have a y-intercept of (0,1):

[tex]y=x^{2}[/tex] ⇒ [tex]y=(0)^{2}[/tex] ⇒ [tex]y=0[/tex]

Therefore, the y-intercept is at (0, 0) not (0, 1).

Answer:

The determinant of the matrix for the pineapple cake is $4350 ⇒  c

The determinant of the matrix for the chocolate cake is $5075 ⇒  c

Step-by-step explanation:

* Look to the attached file

Answer:

The center of the circle is point (8 , 6)

Step-by-step explanation:

* At first lets revise how to find the mid-point between two points

- If (x1 , y1) and (x2 , y2) are the end point of a segment

- If (x , y) is the mid-point of this segment

- To find  x add x1 and x2, then divide the answer by 2

∴ x = (x1 + x2)/2

- Similar to find y add y1 and y2, then divide the answer by 2

∴ y = (y1 + y2)/2

∴ The mid-point (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]

* Now lets solve the problem

- The center of the circle is the mid-point of the diameter

- Consider the center of the circle is (x , y)

- (x , y) is the mid-point of the diameter of the circle with endpoints

 (4 , 9) and (12 , 3)

- Let (4 , 9) is (x1 , y1) and (12 , 3) is (x2 , y2)

∵ x1 = 4

∵ x2 = 12

∵ x = (x1 + x2)/2

∴ x = (4 + 12)/2 = 16/2 = 8

* Similar

∵ y1 = 9

∵ y2 = 3

∵ y = (y1 + y2)/2

∴ y = (9 + 3)/2 = 12/2 = 6

∴ (x , y) = (8 , 6)

* The center of the circle is point (8 , 6)

Answer:

The center is (8,6) and radius is 5 units of the wheel

Step-by-step explanation:

On the design of the new car the steering wheel has a diameter with endpoints at (4 9) and (12,3)

End point of diameter is (4 9) and (12,3)

As we know mid point of diameter is center of circle.

Mid point formula:

[tex](x,y)\rightarrow (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Mid point of  (4 9) and (12,3)

[tex]Centre: (\dfrac{4+12}{2},\dfrac{9+3}{2}[/tex]

Center: (8,6)

Radius is distance between center and any one end point of diameter.

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]R=\sqrt{(8-4)^2+(6-9)^2[/tex]

[tex]R=\sqrt{16+9}=\sqrt{25}[/tex]

Radius = 5

Hence, The center is (8,6) and radius is 5 units of the wheel

Answer:

Option a

Step-by-step explanation:

A function is a relationship between two sets called domain and co domain  where there is one output for every input. If you have more than one output for a particular input, i.e. if the mapping of elements of A to B are not unique,  then the quantities represent a relation. A graph of a relationship can be shown to be a function using the vertical line test, which says that at any point if a vertical line makes two intercepts of the curve, the curve cannot be a function.

Given are two sets with {1,2,3,4,5,6} and {2,3,4,5,6,7} where there is a mapping.

We find that while 1,3 have unique mappings 2 does not have an image at all while 4 and 5 have the same image.

Since there is an element in the I set which does not have an image, this cannot be a function.

Option a

Answer:

The Answer is B

Step-by-step explanation:

+7 at the end means up 7

The - 4 in the middle represents right 4

These are found using basic rules of translating equations

For this case we have to define function transformation that:

Let k> 0:

To graph [tex]y = f (x) + k,[/tex] the graph is displayed k units up.

To graph[tex]y = f (x) -k[/tex], the graph is displayed k units units down.

Let h> 0:

To graph[tex]y = f (x-h)[/tex], the graph moves units to the right.

To graph [tex]y = f (x + h)[/tex], the graph moves h units to the left.

We have [tex]y = - \sqrt [3] {x}[/tex]

It moves 7 units up and 4 to the right.

So we have to:

[tex]h = 4\\k = 7[/tex]

The shifted graphic is:

[tex]y = - \sqrt [3] {x-4} +7[/tex]

ANswer:

[tex]y = - \sqrt [3] {x-4} +7[/tex]

Answer:

300,000

Step-by-step explanation:

Answer:

300,000 is the nearest **hundred thousand.

Step-by-step explanation:

Read as nearest thousand lol.

Answer:

12

Step-by-step explanation:

Mary worked for 30 hours. This is calculated by first determining how many lamps Mia assembled, then subtracting this from the total to find out how many lamps Mary assembled. Finally, we divide the number of lamps assembled by Mary by her rate to find out how many hours she worked.

The question requires us to find out how many hours Mary worked if we know that together, Mary and Mia assembled 600 lamps, Mary assembles 10 lamps per hour, Mia assembles 12 lamps per hour, and Mia worked for 25 hours.

First, we can determine how many lamps Mia assembled by multiplying her working hours by her rate, resulting in 300 lamps (12 lamps per hour * 25 hours).

Next, we subtract the number of lamps assembled by Mia from the total to find how many lamps Mary assembled, resulting in 300 lamps (600 lamps total - 300 lamps assembled by Mia).

Finally, we can calculate how many hours Mary worked by dividing the number of lamps she assembled by her rate, resulting in 30 hours (300 lamps / 10 lamps per hour).

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[tex]\(e^3\)=2.71828[/tex]

In [tex]\(e^3\)[/tex], "e" represents Euler's number, an irrational mathematical constant approximately equal to 2.71828. When raised to the power of 3, [tex]\(e^3\)[/tex] signifies the exponential growth of "e" compounded three times. This can be interpreted as the result of continuously compounding interest or growth at a rate of "e" over three time periods. The expression [tex]\(e^3\)[/tex] calculates the value after three such compounding intervals, showcasing the inherent rapid and self-reinforcing nature of exponential growth. In practical terms, [tex]\(e^3\)[/tex] can represent scenarios where a quantity increases or decreases exponentially, such as population growth, financial investments, or decay processes. Understanding [tex]\(e^3\)[/tex] involves recognizing the profound impact of continuous compounding, making it a fundamental concept in various scientific and mathematical applications.

Answer:

a.  5 + 2i, 13 + 2i, 29 + 2i

Step-by-step explanation:

We'll use the formula  f(z) = 2z + (3 - 2i)  for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.

So, we start with z0 = 1 + 2i and we plug that into the base equation:

z0 = 1 + 2i ==> f(z) = 2(1 + 2i) + 3 - 2i = 2 + 4i + 3 - 2i = 5 + 2i

z1 = 5 + 2i ==> f(z) = 2(5 + 2i) + 3 - 2i = 10 + 4i + 3 - 2i = 13 + 2i

z2 = 13 + 2i ==> f(z) = 2(13 + 2i) + 3 - 2i = 26 + 4i  + 3 - 2i = 29 + 2i

z3 = 29 + 2i

Answer:a

Step-by-step explanation:

Answer:

(2x+3)^2

=(2x+3)(2x+3)

=(2x)(2x)+(2x)(3)+(3)(2x)+(3)(3)

=4x^2+6x+6x+9

=4x^2+12x+9

The standard form of the given quadratic equation y = (2x + 3)^2 is y = 4x^2 + 12x + 9. This is achieved by applying the square of a binomial rule and simplifying.

The given equation is y = (2x + 3)^2. This is in the form of a squared binomial, which can be expanded and simplified into a standard form of a quadratic equation. The standard form of a quadratic equation is y=ax^2 + bx + c.

To convert the given equation into standard form, we need to apply the square of a binomial rule, which states that (A + B)^2 = A^2 + 2AB + B^2. Here, A = 2x and B = 3.

So, we can rewrite the equation as follows: y = (2x)^2 + 2*2x*3 + 3^2 = 4x^2 + 12x + 9. Therefore, the standard form of the given quadratic equation is y = 4x^2 + 12x + 9.

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