Solving proportions
[tex] \frac{1\3}{5} = \frac{a}{20} [/tex]​

Answer:

Actual distance between two city = 40 miles

Step-by-step explanation:

Given sample size;

1 inch = 10 miles

Distance between two city = 4 inch

Find:

Actual distance between two city

Computation:

Actual distance between two city = Sample size of 1 inch in miles x Distance between two city

Actual distance between two city = 4 x 10

Actual distance between two city = 40 miles

Answer:

Step-by-step explanation:

x is the length of the side opposite the reference angle of 32, and 10 is the side length adjacent to the reference angle. This satisfies the tangent ratio where

[tex]tan32=\frac{x}{10}[/tex] and solving for x:

x = 10tan32

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

Answer:

2/3 ft

Step-by-step explanation:

area of triangle =base*height/2

2/5=base*6/5/2

2/5 *2 =base * 6/5

4/5 =base*6/5

4/5÷6/5=base

4/5 * 5/6=base

20/30=base

2/3=base

therefore base=2/3 ft

Answer:

12.4

Step-by-step explanation:

using x= 9tan54 the results is 12.38743728 but 12.4 to the nearest tenth

Answer:

answer is B

Step-by-step explanation:

Answer:

it really is B.5x2y5z

Step-by-step explanation:

got it right on edge

Answer:

Step-by-step explanation:

given :

y = 120 degree

z = 57 degree

angle x = ?

first lets find angle c in triangle BDC

angle C + 57 = 120

angle C = 120 -57

angle C = 63 degree

Now lets find angle B in triangle BDC

angle B + angle C + z = 180 degree (sum of interior angles of a triangle)

angle B + 63 + 57 = 180

angle B + 120 = 180

angle B = 180 - 120

angle B = 60 degree

now for angle x

angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)

60 + 57 = x

117 = x

Answer:

The volume is 2140.98 inches

Hope this helped!

Answer:

681.47 π cubic inches

Step-by-step explanation:

18x+48+32+12x

18x+80+12x

30x+80

that's 3 different expressions equivalent to the original

Answer:

You can first remove the parentheses to get 18x+48+32+12x

Then you can combine like terms to get 30x+48+32

Finally you can finish combining like terms to get 30x+80

You could also enter 10(3x+8) because of the distributive property.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

QUICK

lol

Forgive me if I got a few wrong in the inches system. From where I am, we use the metric system and different syllabus. There's some answers I'm quite unsure so make sure to check with someone else

Answer:

1. 24 in

2. 30 in.

3. 14/3/13 in

4. 7 in

5. 5in

Step-by-step explanation:

The scale of drawing to the scale of actual model:

1:6

so when the questions ask for actual, we need to x6.

1. actual width of painting = width of drawing x 6

4in x 6 = 24in

2. actual height of painting = height of drawing x 6

5in x 6 = 30in

3. This one you should take 5/6 and x2 since we have two edges so like

5 - 2(5/6) = 3/1/3

4 - 2(5/6) = 2/1/3

so the final equation should be:

3/1/3 + 2/1/3 x 6 (since we are looking for the actual height of H) = 14/3/13 in

4. actual width of H through center = 1inch + 2(1/2)in (because we have 2 vertical parallel) x 6 so:

2(1/2) + 1in x 6 = 7in

5. Look back on Q3,

drawing top edge to top edge of H = drawing left edge to left edge to H = 5/6

so, 5/6 x 6 = 5in

Hope I could help in someway

Answer:

1

[tex]2 \times 2 \times 4 \times 1 \times [/tex]

Answer:

3 days=  $105, 6 days= $90, 10 days= $70

Step-by-step explanation:

You can rewrite this equation as y=120-5x

x is the amount of days passed

plug in 3 for x and you get 15. 120-15=105

plug in 6 for x and you get 30. 120-30=90

plug in 10 for x you get 50. 120-50=70

Hope this helps!

:)

The margin of error is 0.1245 (approx) with a confidence level of 95%.

Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.

Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

where [tex]z^{*}[/tex] is the value for confidence level or quantile,

p is the sampling mean proportion and n is the sample size.

Here, The sampling mean proportion(p)= 0.28

The sample size(n)= 50

Confidence level = 95%

Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96

∴ Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]

                            = [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]

                            = [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]

                            = [tex]1.96\sqrt{0.004032}[/tex]

                            = [tex]1.96[/tex]×[tex]0.0635[/tex]

                            = [tex]0.1245[/tex] (approx)

So, The margin of error is 0.1245 (approx).

Learn more about margin of error here :

https://brainly.com/question/10218601

#SPJ2

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Answer:

No more

Step-by-step explanation:

Answer:

y/3

Step-by-step explanation:

y=-3x+3

3=3x-y

3/3=3x/3-y/3

diameter=15m

Answer:

Solution given:

diameter [d]=?

Volume of hemisphere=2/3*πr³

896m³=2/3*πr³

r³=896*3/2π

r=[tex]\sqrt[3]{427.8}=7.5[/tex]

diameter=2r=2*7.5=15m

Radius (r) = ?

Diameter (d) = ?

Volume of hemisphere = 2/3 × πr³

→ 896m³ = 2/3 × πr³

→ r³ = 896 × 3/2π

→ r = ³√427.8

→ r = 7.5

Now,

Diameter (d) = 2r

→ 2 × 7.5

→ 15m is the required answer.

Answer:

it's hypotenuse will be -8

Answer: %27

Step-by-step explanation: 90/338   x/100

90x100=9000

9000/338=%27

Answer:

111 =x

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

29+82 = x

111 =x

Answer:

Step-by-step explanation:

Since all the angles in a triangle add up to 180, you would need to add up the 2 values you have to get the third:

∠3 = 180-82-29

      = 69 degrees

Now you have to subtract this value from 180 because a straight line is 180 degrees:

∠x = 180-69

∠x = 111°

Hope this helps!

Answer:

152a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I can't understand !!!!!!!!!

Answer:

Attached below

Step-by-step explanation:

Trapezoid: Opposite side are parallel in trapezium.

So, opposite sides are parallel in  all given quadrilateral except second.

Therefore, attached figure is not trapezium.

Answer:

.........

Step-by-step explanation:

Answer:

21 feet

Step-by-step explanation:

pythagoreom theorem

a^2+b^2=c^2

6.5^2+20^2=c^2

42.25+400=c^2

442.25=c^2

21 feet