If there are 3.28 feet in 1 meter, how many yards are in 8 meters? Round answer to the nearest tenth. (Hint: This problem requires two conversions.)

Answer:

[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]

Step-by-step explanation:

Given

The fractions are:

[tex]\frac{3}{12},\ \frac{1}{6},\ \frac{1}{3}[/tex]

Required

How the fractions can be rewritten

The fractions can be rewritten by taking the LCM of the denominators.

The [tex]LCM[/tex] of [tex]12; 6\ and\ 3[/tex] is [tex]12[/tex]

So, we have:

[tex]\frac{3}{12},\ \frac{2*1}{12},\ \frac{4*1}{12}[/tex]

Simplify the numerators

[tex]\frac{3}{12},\ \frac{2}{12},\ \frac{4}{12}[/tex]

Now, the fractions can be ordered based on the numerators

[tex]\frac{2}{12},\ \frac{3}{12},\ \frac{4}{12}[/tex]

Return to original form

[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]

Answer:

5) [tex]x=3,-1[/tex]

6) [tex]r=-6,-4[/tex]

7) [tex]p=2,3[/tex]

8) [tex]n=-4,8[/tex]

Step-by-step explanation:

5) [tex](x-3)(x+1)=0[/tex]

   [tex](3-3)(-1+1)=0[/tex] substitute x for a number that will make the statement true.

6) [tex](r+6)(r+4)=0[/tex]

   [tex](-6+6)(-4+4)=0[/tex] substitute r for a number that will make the statement true.

7) [tex](p-2)(p-3)=0[/tex]

   [tex](2-2)(3-3)=0[/tex]  substitute p for a number that will make the statement true.

8) [tex](n+4)(n-8)=0[/tex]

   [tex](-4+4)(8-8)=0[/tex] substitute n for a number that will make the statement true.

Answer:

The third one.

Step-by-step explanation:

Answer:

answer is 8

Step-by-step explanation:

hope this helps

Answer:

[tex](7y^2x^3)^2[/tex]

Step-by-step explanation:

Find the GCF then factor out all the numbers

Answer:

(x-5i)(x+5i)

Step-by-step explanation:

Given the expression

(x-5i)²

Expand

(x-5i)(x+5i)

= x² - 5ix + 5ix - 25i²

= x² - 25i²

Since i² = -1, hence;

(x-5i)(x+5i) = x² - 25(-1)

(x-5i)(x+5i) = x² + 25

Hence the required expression is (x-5i)(x+5i)

Answer:

[tex] \sin(c) = \frac{ab}{ac} \\ \sin(c) = \frac{36}{45} \\ \sin(c) = \ \frac{4}{5} [/tex]

Answer:

Area of composite figure = 623.25 cm²

Step-by-step explanation:

Given:

Equal side of triangle = 39 cm

Diameter of semi-circle = 30 cm

Base of triangle = 30 cm

Find;

Area of composite figure

Computation:

Radius of triangle = 30 / 2

Radius of triangle = 15 cm

Height of triangle = √39² - 15²

Height of triangle = √1,521 - 225

Height of triangle = 36 cm

Area of composite figure = Area of semi-circle + Area of triangle

Area of composite figure = [πr² / 2] + [(1/2)(b)(h)]

Area of composite figure = [(3.14)(15)² / 2] + [(1/2)(15)(36)]

Area of composite figure = [(3.14)(225) / 2] + [(15)(18)]

Area of composite figure = [706.5 / 2] + [270]

Area of composite figure = 353.25 + 270

Area of composite figure = 623.25 cm²

Answer:

B) Angle 5 and angle 4

Step-by-step explanation:

Given

See attachment for sketch

See comment for options

Required

The alternate interior angles

Interior angles are such that they are located between the given parallel lines.

In the attached sketch, the interior angles are: 3, 4, 5 and 6

Alternate angles are at the opposite sides of the transversal

Hence:

4 and 5 are alternate interior

3 and 5 are also alternate interior

Answer:

Step-by-step explanation:

[tex]\sqrt{3[/tex] *2[tex]\sqrt{30[/tex]

2[tex]\sqrt{30*3}[/tex]

2[tex]\sqrt{3*3*2*5}[/tex]

2*3[tex]\sqrt{2*5}[/tex]

6[tex]\sqrt{10}[/tex]

Answer:

2.5%

Step-by-step explanation:

Given data

Profit = Euro 20,000,000

Tax paid= Euro 500,000

The percentage tax paid is

% Tax= Tax paid/Profit*100

% Tax= 500,000/20,000,000*100

% Tax=0.025*100

% Tax=2.5

Hence the percentage tax paid is 2.5%

Answer:

C

Step-by-step explanation:

"grow or develop in a healthy or vigorous way, especially as the result of a particularly favorable environment."

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The height of the second cylinder is 30mm

Step-by-step explanation:

Given

Cylinder 1:

[tex]R = 15mm[/tex]

[tex]H = 45mm[/tex]

Cylinder 2

[tex]r = 10mm[/tex]

See attachment

Required

Determine h, the height of the small one

To do this, we make use of the following equivalent ratios;

[tex]R : H = r : h[/tex]

This gives:

[tex]15 : 45 = 10 : h[/tex]

Express as fraction

[tex]\frac{15 }{ 45 }= \frac{10 }{ h}[/tex]

Simplify

[tex]\frac{1 }{ 3}= \frac{10 }{ h}[/tex]

Cross multiply

[tex]h *1 = 3 * 10[/tex]

[tex]h = 30[/tex]

Answer:

44.4

Step-by-step explanation:

sin(40)= x/69

x=69(sin40)

x= 44.4

Answer:

18 = 4(3)+6

12 + 6

Step-by-step explanation:

the answer is 18 = 4(3)+6

because y is 18

Answer:

x=3

Step-by-step explanation:

[tex]18 = 4x + 6[/tex]

subtract 6 on both sides

[tex]12 = 4x[/tex]

divide both sides by 4

[tex]3 = x[/tex]

Answer:

you will pay back $4,984 in total and you will owe 984 in interest alone just in case you need that too.

Answer:

Step-by-step explanation:

12 D + M = 3.50

3*12 D +4M = 11.80

the pair of equations are

12 D + M = 3.50

36 D +4M = 11.80

Answer:

I need points lol 2=yx thank you for letting me spam

Answer:

4x+6y

Step-by-step explanation:

distribute and add like terms

Answer:

[tex]4x + 6y[/tex]

Step-by-step explanation:

Collect like terms:

[tex]2(2x + 3y)[/tex]

Distribute 2 through the parentheses:

[tex]4x + 6y[/tex]

Therefore, the answer will be 4x + 6y.

Answer:

[tex]\huge\boxed{V=44cm^3}[/tex]

Step-by-step explanation:

(look at the picture)

The formula of a volume of a rectangular prism a × b × c:

[tex]V=abc[/tex]

We have two rectangular prisms.

[tex]1:\ 2cm\times2cm\times5cm\\2:\ 2cm\times2cm\times6cm[/tex]

Calculate the volume:

[tex]V_1=2\cdot2\cdot5=20(cm^3)\\\\V_2=2\cdot2\cdot6=24(cm^3)[/tex]

The volume of the irregular figure:

[tex]V_F=V_1+V_2\\\\V_F=20cm^3+24cm^3=44cm^3[/tex]

Answer:

area=1÷2×diagonal(H1+H2)

=1÷2×8(2+2)

=16m2

Answer:

16 m squared,

Step-by-step explanation:

Thre are two triangles. triangle area formula = 1/2 bh

plug in numbers but there's another rectangle so times 2

1/2 8*2 = 8*2=16

if correct, please mark brainliest if you feel like it:)

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

Thus, the hypotenuse is:

[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

Answer: [tex]20\ \text{unit}\times 10\ \text{unit}[/tex]

Step-by-step explanation:

Given

A studio apartment has a floor that measures [tex]120\ ft \times 60\ ft[/tex]

Scale used is 1 unit:6 feet i.e 6 feet of actual floor is considered 1 unit in drawing

The dimension of scale drawing is [tex]\frac{1}{6}[/tex] of actual

Dimensions are

[tex]\Rightarrow \dfrac{120}{6}\times \dfrac{60}{6}\\\\\Rightarrow 20\ \text{unit}\times 10\ \text{unit}[/tex]

Answer:

would you still like me to help you with this problem?

Answer:

2x²−13x+21

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

the simplified expression of this is -23/2h + 3/2 or -11 1/2h + 1 1/2.

Step-by-step explanation:

7/2h - 3(5h - 1/2)

3(5h - 1/2)

First, we need to use the distributive property to distribute the expression which requires multiplication or division. We take 3 and multiply it by both values in the parentheses which gives us 15h - 1/2. However, since there is subtraction, we need to do the opposite of that which would be 15h +  1 1/2 or 15h + 3/2. Now we can't forget 7/2h at the beginning of the expression. Here is the remaining expression :

7/2h - 15h + 3/2 or 7/2h - 15h + 3/2

Now, we need to combine like terms which requires values to have the same variable. 7/2h and 15h have the same variable so combine like terms. We do subtraction.

7/2h - 15h

We subtract this and get a result of -23/2 or -11 1/2 but don't forget the variable.

-23/2h

1/2 doesn't have a variable so we no longer can combine like terms. Therefore, it would just be -23/2h + 3/2 or -23/h + 1 1/2.

Answer:

Length of hypotenuse is 13 unit or 5 unit

Step-by-step explanation:

Find;

Length of hypotenuse

Computation;

Assume;

Length of hypotenuse = h

Length of longer leg = h - 1

Length of shorter leg = h - 1 - 7

Using Pythagorean theorem

hypotenuse² = longer leg² + shorter leg²  

h² = (h - 1)² + (h - 1 - 7)²  

h² = (h - 1)² + (h - 8)²  

h² = h² - 2h + 1 + h² - 16h + 64  

h² = 2h² - 18h + 65

h² - 18h + 65 = 0

h² - 13h - 5h + 65 = 0

h(h - 13) -5(h - 13)

(h - 13)(h - 5)

So,

Length of hypotenuse is 13 unit or 5 unit

Answer:

12 feet

Step-by-step explanation:

48 divided by 4 is 12 and 48 is the total area

Answer:

12 sq. ft.

Step-by-step explanation:

To find the area of a square (or rectangle) you multiply the length by the width.

To find the length of one side, when you have the area and one side, you divide the area by the side you have.

48 divided by 4 equals 12.

Hope this helps :)