In ΔXYZ, x = 5.9 meters, y = 8.9 meters, and z = 5.8 meters. Find the remaining measurements of the triangle, and round your answers to the nearest tenth.

Answer:

11,600

Step-by-step exp

the 4 in the tens place means the 6 stays the same

Answer:

11,600

Step-by-step explanation:

think of 100... that 1 is in the hundred place.  when rounding you look to the number to the right of that place. if that number is less than 5 you dont round up.  if the number is 5 or greater you round up.  in this case 11,647 the number 6 is in the hundred place.  look to the right of it. in this case it is 4.  4 is less than five so you don't round up.  your number 11,647 rounded to the hundred place is 11,600.

Answer:

x=-248 3/5

Step-by-step explanation:

13-9-x/11=3x/22+121/2

4-x/11=3x/22+121/2

4-121/2=3x/22+x/11

8/2-121/2=3x/22+2x/22

-113/2=5x/22

5x/22=-113/2

5x=(-113/2)*22

5x=-113*22/2

5x=-113*11

x=-1243/5

x=-248 3/5

Answer:637kgms-2

Step-by-step explanation:the force acting on him will be Made X acceleration due to gravity. Then since the mass is 65, multiply it with 9.8, then you will get the force which is 637kgms-2

Answer:

a

Step-by-step explanation:

The quotient of the given expression is -2/5.

The number we obtain when we divide one number by another is the quotient

Given is the expression as -

- (4/5) ÷ 2

The given expression is -

- (4/5) ÷ 2

- (4/5) x 1/2

- 2/5

Therefore, the quotient of the given expression is -2/5.

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Answer:

Therefore the value of p is -3.

Step-by-step explanation:

Given a line has a slope of [tex]-\frac{1}{7}[/tex] and passes through (4,-2)and (p,-1)

The slope of a line which passes through [tex](x_1,y_1)[/tex]   and   [tex](x_2,y_2)[/tex] is

[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]x_1= 4,y_1=-2, x_2=p[/tex] and [tex]y_2= -1[/tex]

Therefore the slope of the line which passes through the given points is

[tex]=\frac{-1+2}{p-4}[/tex]

According to the problem,

 [tex]\frac{-1+2}{p-4}= -\frac{1}{7}[/tex]

[tex]\Leftrightarrow \frac{1}{p-4} =-\frac{1}{7}[/tex]

[tex]\Leftrightarrow p-4=-7[/tex]

[tex]\Leftrightarrow p = -7+4[/tex]

[tex]\Leftrightarrow p = -3[/tex]

Therefore the value of p is -3.

Answer:

y = - 4

Step-by-step explanation:

The output is the value of y for a given input x

For an input of - 1, substitute x = - 1 into the equation.

y = (- 1)² - 5 = 1 - 5 = - 4 ← output

Answer:

p and q are both equal to 20.

Step-by-step explanation:

40 / 2 = p, so p = 20

100 / 5 = q, so q = 20

To find 20% of 950, first convert the percentage to a decimal (20% becomes 0.20) and then multiply that value by 950. The mathematical expression representing this calculation is 0.20 x 950, which yields the result: 190.

The question is asking about how to find 20% of 950 in mathematics. Here's how you do that:

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To find 20% of 950, convert 20% to decimal form as 0.20 and multiply it by 950. The result of this calculation is 190, which represents 20% of 950.

The expression to find 20% of 950 is obtained by multiplying 950 by the percentage in decimal form. Since 20% as a decimal is 0.20, you multiply 950 by 0.20 to find the answer. The calculation is as follows:

So, 20% of 950 is 190.

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Answer:

30

Step-by-step explanation:

Answer:9-x/4+3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

25.12 feet

Step-by-step explanation:

To find the circumference of the round wading pool with an 8-foot diameter using 3.14 for pi, the formula C = πd is used, resulting in a circumference of 25.12 feet.

The question is asking to find the circumference of a round wading pool with a diameter of 8 feet using 3.14 for pi. The formula for the circumference of a circle is C = πd, where C represents the circumference, π (pi) is approximately 3.14, and d is the diameter of the circle. Given that the diameter (d) of the pool is 8 feet, we substitute the values into the formula to get:

C = 3.14 × 8 feet = 25.12 feet

Therefore, the circumference of the wading pool is 25.12 feet.

Answer:

Senior citizen tickets = $9

Student tickets = $11

Step-by-step explanation:

We begin by converting these into simultaneous linear equation;

Senior citizen tickets = a

Student tickets = b

5a + 9b = 144

14a + 6b = 192

5a = 144 - 9b

a = 144/5 - 9b/5

a = 28.8 - 1.8b

We now substitute this into the first equation

14(28.8 - 1.8b) + 6b = 192

403.2 - 25.2b +6b = 192

-19.2b = 192 - 403.2

b = -211.2/-19.2

b = 11

Put the value of b into either equation

5a + 9b = 144

5a + 9(11) = 144

5a +99 = 144

5a = 144-99

5a = 45

a = 9

The actual length of the garden is 2175 cm.

To find the actual length of the garden, we can use the scale. The scale indicates that 1 cm on the diagram represents 150 cm in real life. Since the length on the diagram is 14.5 cm, we can multiply this length by the scale factor to find the actual length.

Actual Length = Length on Diagram × Scale Factor = 14.5 cm × 150 = 2175 cm

Therefore, the actual length of the garden is 2175 cm.

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Use the distance formula: sqrt((x2-x1)^2+(y2-y1)^2)

Plug in variables:

sqrt((-3-2)^2+(5-8)^2)

sqrt((-5)^2+(-3)^2)

sqrt(25+9)

sqrt(34)

Rounded to the nearest tenth is 5.8 units

Hope this helped.

Answer:

d = distance

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Step-by-step explanation:

Answer:

The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2

Step-by-step explanation:

Answer:

P = (0,4) Q = (2,0)

Step-by-step explanation:

Answer:

the sum of the 2 expressions is -11+2i.

Step-by-step explanation:

-1-10=-11

-i+3i=2i

-11+2i

Cost of each book is $ 8 and cost of each pencil is $ 6

Solution:

Let "a" be the cost of 1 book

Let "b" be the cost of 1 pencil

John paid $34 for 2 books and 3 pencils

Therefore,

2 books x cost of 1 book + 3 pencil x cost of 1 pencil = 34

[tex]2 \times a + 3 \times b = 34[/tex]

2a + 3b = 34 ----------- eqn 1

He paid $36 for 3 books and 2 pencils

3 books x cost of 1 book + 2 pencil x cost of 1 pencil = 36

[tex]3 \times a + 2 \times b = 36[/tex]

3a + 2b = 36 -------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

4a + 6b = 68 ---------- eqn 3

Multiply eqn 2 by 3

9a + 6b = 108 --------- eqn 4

Subtract eqn 3 from eqn 4

9a + 6b = 108

4a + 6b = 68

( - ) -------------

5a = 40

a = 8

Substitute a = 8 in eqn 1

2(8) + 3b = 34

16 + 3b = 34

3b = 34 - 16

3b = 18

b = 6

Thus cost of each book is $ 8 and cost of each pencil is $ 6

Answer:

Sally need  [tex]5\frac{1}{3}[/tex]  cups of orange juice.

Step-by-step explanation:

Given:

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice.

If she uses 2 cups of pineapple juice.

Now, to find the cups of orange juice.

So, to solve by using unitary method:

As, ¼ of a cup of pineapple juice is needed for orange juice of = ⅔ cup.

So, 1 cup of pineapple juice is needed for orange juice of = [tex]\frac{2}{3}\div \frac{1}{4}[/tex]

[tex]=\frac{2}{3}\times \frac{4}{1}[/tex]

[tex]=\frac{8}{3}[/tex]  cups.

Thus, 2 cups of pineapple juice is needed for orange juice  of  = [tex]\frac{8}{3} \times 2[/tex]

= [tex]\frac{16}{3}[/tex]

= [tex]5\frac{1}{3}[/tex] cups.

Therefore, Sally need [tex]5\frac{1}{3}[/tex] cups of orange juice.

Final answer:

The number halfway between 0.2 and 0.3 is 0.25, which is found by adding the two numbers and dividing the total by 2.

Explanation:

The number halfway between 0.2 and 0.3 can be found by calculating the average of the two numbers. To find the average, you add the two numbers together and then divide by 2.

To show the steps:

Therefore, the number that is halfway between 0.2 and 0.3 is 0.25.

The number halfway between 0.2 and 0.3 is 0.25.

To find the number halfway between 0.2 and 0.3, you calculate the average of the two numbers. Here's the step-by-step process:

So, the number halfway between 0.2 and 0.3 is 0.25. This method ensures that you find the exact midpoint between two values.

A) g(36) = 1260

B) f(2) + 1 = 9

Solution:

Given that,

[tex]f(x) = 3x + 2\\\\g(x) = x^2-x[/tex]

Find each value

Substitute x = 36 in g(x)

[tex]g(36) = (36)^2 - 36\\\\g(36) = 1296-36\\\\g(36) = 1260[/tex]

Substitute x = 2 in f(x)

[tex]f(2) + 1 = 3(2) + 2 + 1\\\\f(2) + 1 = 6 + 2 + 1\\\\f(2) + 1 = 9[/tex]

Thus the values are found

Final answer:

To solve the functions, substitute the given values into the relevant function. After performing calculations, g(36) is found to be 1260, and f(2) + 1 is calculated to be 9.

Explanation:

To find the values for given functions, we need to substitute the relevant inputs into each function and then perform the necessary calculations.

A. g(36)

Given g(x) = x² \\- x, we substitute x with 36:

g(36) = 36² \\- 36 = 1296 \\- 36 = 1260.

B. f(2) + 1

Given f(x) = 3x + 2, we first find f(2):

f(2) = 3(2) + 2 = 6 + 2 = 8.

Now, we add 1 to f(2):

f(2) + 1 = 8 + 1 = 9.

Answer:

19.9

Step-by-step explanation:

divide 199000 by 10000

=19.9

Answer:

19.9

Step-by-step explanation:

Answer:

A. 2.3km

Step-by-step explanation:

Since 2cm = 1km

4.6cm = xkm

xkm = 4.6 x 1 / 2

= 2.3km

Answer:

I would believe that the answer is A. 2.3 km

Step-by-step explanation:

If 2cm=1km

then 4cm=2km

not to mention the km is 1/2 or the cm

so i would believe that .6cm would be .3km

therefore the answer must be 2.3km

There are about 124.29 acres in this parcel woods

Step-by-step explanation:

The given is:

We need to find how many acres are in this parcel of woods

∵ The population density = 3.5 deer per acre

- That means 1 acre for every 3 dears

∵ There are a total of 435 deer

∴ [tex]\frac{3.5}{1}=\frac{435}{x}[/tex] , where x is the number of acres

- By using cross multiplication

∴ 3.5 × x = 1 × 435

∴ 3.5 x = 435

- Divide both sides by 3.5

∴ x = 124.29

There are about 124.29 acres in this parcel woods

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Check the picture below.

the idea being, that if we run an altitude segment from a right-angle in a triangle, and parallel to the opposite side, like in thise case, we end up with 3 similar triangles, a Large one, containing the other smaller ones, a Medium and a Small.

now, let's simply use proportions for those similar triangles.

[tex]\bf \stackrel{Large}{\cfrac{12}{4+x}}=\stackrel{Small}{\cfrac{4}{12}}\implies \cfrac{12}{4+x}=\cfrac{1}{3}\implies 36=4+x\implies \boxed{32=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Small}{\cfrac{4}{y}}=\stackrel{Medium}{\cfrac{y}{x}}\implies 4x=y^2\implies 4(32)=y^2\implies 128=y^2\implies \sqrt{128}=y \\\\\\ \sqrt{64\cdot 2}=y\implies \sqrt{8^2\cdot 2}=y\implies \boxed{8\sqrt{2}=y} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{Large}{\cfrac{z}{4+x}}=\stackrel{Medium}{\cfrac{x}{z}}\implies z^2=(4+x)x\implies z^2=4x+x^2\implies z = \sqrt{4x+x^2} \\\\\\ z = \sqrt{4(32)+32^2}\implies z = \sqrt{128+1024}\implies z = \sqrt{1152} \\\\\\ z = \sqrt{576\cdot 2}\implies z = \sqrt{24^2\cdot 2}\implies \boxed{z = 24\sqrt{2}}[/tex]

Incomplete Question Consider here NS = SQ then we may solve for NQ

Answer:

Therefore,

[tex]NQ=54\ units[/tex]

Step-by-step explanation:

Consider N -S -Q as a Straight line as shown in the figure below such that,

[tex]NS = 2x + 7[/tex]

[tex]SQ = 5x -23[/tex]

[tex]NS =SQ[/tex] ..............Consideration

To Find:

NQ = ?

Solution:

[tex]NS =SQ[/tex]   .....Given Consideration

Substituting the values we get

[tex]2x+7=5x-23\\\\3x=30\\\\x=\dfrac{30}{3}=10[/tex]

Therefore,

[tex]NS = 2\times 10 + 7 = 27[/tex]

[tex]SQ = 5\times 10 -23=27[/tex]

N -S-Q is a Straight Line,

Then BY Line Addition Postulate,

[tex]NQ=NS+SQ[/tex]       ...............N-S-Q

Substituting the values we get

[tex]NQ=27+27=54\ units[/tex]

Therefore,

[tex]NQ=54\ units[/tex]

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

400-65=335

Answer: if I am correct it is 39%

Step-by-step explanation:

Answer: Y = 9

Step-by-step explanation:

Y & X

Y = KX

K = Y / X = - 15 / - 5 = 3

X = 3

K= 3

Y=?

Y = KX = 3 x 3 = 9

Therefore, when X = 3, Y = 9