for a March past competition on sports day the house captain of one house cut 25 pieces of ribbon each 1/2 metre in length.what was the length of ribbon cut altogether​

Answer:

b = 120

Step-by-step explanation:

a & b are vertical angles and vertical angles are congruent, thus, a and b are congruent.

=> a = b, a = 120

=> b = 120

Answer: 348in^2

Step-by-step explanation:

8 x 9 = 72

72 x 2 = 144in^2 (front and back)

8 x 6 = 48

48 x 2 = 96in^2 (sides)

9 x 6 = 54

54 x 2 = 108in^2 (top and bottom)

Total Surface area = 144 + 96 + 108 = 348in^2 (second option on picture)

Answer:

Step-by-step explanation:

Answer:

The probability that a marble drawn from the jar at random is red is 21.66%, that it is blue is 45%, that it is not blue is 55%, that it is green is 33.33%, and that it is green or red is 55%.

Step-by-step explanation:

Since a jar contains 13 red, 27 blue, and 20 green marbles, to determine, if one marble is drawn from the jar at random, the probability that the marble is red, blue, not blue, green, and green or red, you must perform the following calculations:

13 + 27 + 20 = 60

Red = 13/60 = 0.2166

Blue = 27/60 = 0.45

Not blue = 33/60 = 0.55

Green = 20/60 = 0.333

Green or red = 33/60 = 0.55

Therefore, the probability that a marble drawn from the jar at random is red is 21.66%, that it is blue is 45%, that it is not blue is 55%, that it is green is 33.33%, and that it is green or red is 55%.

Answer:

Value of ∠1 = 102°

Value of ∠1 = 72°

Step-by-step explanation:

Given:

∠ S = 42°

∠ A = 30°

Find:

Value of ∠1

Value of ∠2

Computation:

Using angle sum property;

Sum of all interior angle of a triangle = 180°

∠ S + ∠ A + ∠ 1 = 180

42 + 30  + ∠ 1 = 180

72 + ∠ 1 = 180

∠ 1 = 180 - 72

∠ 1 = 102

Value of ∠1 = 102°

∠ 1 and ∠ 2 makes a straight line

So,

∠ 1 + ∠ 2 = 180  

102 + ∠ 2 = 180  

∠ 2 = 180 - 102

∠ 2 = 72

Value of ∠1 = 72°

Answer:

The answer would be A.) 4 inches

Step-by-step explanation:

It is A. because if the base of the triangle is 10 inches and one side is 4 then the two sides of the trianlge would be the same they are congruent so if one side of the triangle is 4 then the other side of the triangle is 4.

Hope this helps

Answer:

Decimal: 0.07692307692, fraction: 4/52, percent: 7%

Answer:

The mass of 1000 atoms of gold is, in grams, of [tex]3.25 \times 10^{-19}[/tex]

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

One atom of gold has a mass, in grams, of [tex]3.25 \times 10^{-22}[/tex]. What is the mass of 1000 atoms of gold?

1000 atoms is [tex]10^3[/tex]. So

1 atom - [tex]3.25 \times 10^{-22}[/tex] grams

[tex]10^3[/tex] atoms - x

Applying cross multiplication:

[tex]x = 3.25 \times 10^{-22} \times 10^3 = 3.25 \times 10^{-22+3} = 3.25 \times 10^{-19}[/tex]

The mass of 1000 atoms of gold is, in grams, of [tex]3.25 \times 10^{-19}[/tex]

Answer:

11 yards = $ 123.75

Step-by-step explanation:

4 yards = $ 45.00

1 yard = 45/4 = $ 11.25

11 yards= $11.25 × 11 yards

= $ 123.75

Answer:

D

Step-by-step explanation:

I said it was d.

Answer:

z=4

Step-by-step explanation:

10=z+6

10-6=z

z=4

Answer:

z = 4

Step-by-step explanation:

10 = z + 6

z = 10 - 6 = 4

I need some more letters to post

Answer:

B: x=-1

Step-by-step explanation:

5x+6=1

5x+6-6=1-6

simplify

divide by 5 on both sides

x=-1

Answer:

53.8%

Step-by-step explanation:

Answer:

u already got ur awnser so hi

Step-by-step explanation:

ui

Answer:

B. 2/3 because the probability of selecting a quarter is 1/3

Step-by-step explanation:

Find the total coins in the purse: 10 + 6 + 5 + 9 = 30. Now find out how many are not quarters: 10 are quarters, 30 - 10 = 20. The probability is 20/30, or 2/3,

Answer:

7. 84 feet

9. 12320 yd

11. 30 inches

12. 26400 ft

13. 19 ft

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

3. 1/2

Step-by-step explanation:

[tex]\sqrt{36} = 6\\\sqrt{144} = 12\\Simplified = \frac{1}{2}[/tex]

Answer:

The limit of the (228.533, 234.735)

Step-by-step explanation:

The values are missing in the given question. Therefore, in order to attempt this question, we will make assumptions.

So, let's assume that:

sample size of the journal article that was reported = 5

which is applied for determining a 95% CI

Also, assuming that the resulting interval = (229.764, 233.504)

However, if we are to use a 99% CI which we deemed to be more appropriate;

Then, our objective is to find the limits of this particular interval in question.

To do that:

We need to first find the sample mean at 95% CI by using the formula:

[tex]\Big ( \bar {x} - t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}} \Big) = (229.764,233.504)[/tex]

Since; df = n - 1

df = 5 - 1

df = 4

Then;

[tex]\Big ( \bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} \Big) = (233.504+229.764)[/tex]

[tex]2 \bar {x} = (463.268)[/tex]

[tex]\bar {x} =\dfrac{463.268}{2 }[/tex]

[tex]\bar {x} =231.634[/tex]

Sample mean = 231.634

Using the same formula to determine the standard deviation, we have:

[tex]\Big ( \bar {x} - t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}} \Big) = (229.764,233.504)[/tex]

[tex]\Big ( \bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} \Big) = (233.504-229.764)[/tex]

[tex]\Big ( (\bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} )- (\bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}) \Big) = (233.504-229.764)[/tex]

[tex]\Big ( (\bar x + t_{0.05/2, 4} \ \dfrac{s}{\sqrt{4}}} )- (\bar {x} - t_{0.05/2, 4} \ \dfrac{s}{\sqrt{5}}}) \Big) = (233.504-229.764)[/tex]

At t = 0.025 and df = 4; = 2.776

[tex]2\times 2.776 \dfrac{s}{\sqrt{5}}= 3.74[/tex]

[tex]5.552 \dfrac{s}{\sqrt{5}}= 3.74[/tex]

[tex]\dfrac{s}{\sqrt{5}}= \dfrac{ 3.74}{5.552}[/tex]

[tex]\dfrac{s}{\sqrt{5}}= 0.6736[/tex]

[tex]s = 0.6736 \times \sqrt{5}[/tex]

s = 1.5063

The 99% CI is:

[tex]\implies \Big(\bar x \pm t_{\alpha/2,4} \dfrac{s}{\sqrt{n}} \Big)[/tex]

At t =0.005 and df =4; = 4.604

[tex]\implies \Big(231.634 \pm 4.604 \dfrac{1.5063}{\sqrt{5}} \Big)[/tex]

[tex]\implies \Big(231.634 \pm 4.604 (0.67364) \Big)[/tex]

[tex]\implies \Big(231.634 \pm 3.1014 \Big)[/tex]

[tex]\implies \Big((231.634 - 3.1014), (231.634 + 3.1014) \Big)[/tex]

[tex]\implies \Big( 228.533, 234.735 \Big)[/tex]

Answer:

what is this?

Step-by-step explanation:

if you elaborate I am more then happy to help

Answer:

.

Step-by-step explanation:

Answer:

Ordinal Scale

Step-by-step explanation:

The Ordinal Scale may be described as a type of measurement scale which is mostly used to convey qualitative differences while depicting level of magnitude and rank between the labels. The order of a ordinal Scale matters even though the difference between each cannot be measured. It is mostly employed to convey ideas such as level satisfaction, happiness, performance, grade and so on. For the categoroea given above :

Excellent represents the peak ; then Good, followed by Average, then, Below Average, and lastly Poor.

The answer is b

dasdasadffsdfsdfs

Answer:

$5.10

Step-by-step explanation:

$3.85+$1.25=$5.10

Answer:

If she only bought one pen and one pencil, $5.10

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

1889mm to meters is 1.889 meters, round it up you get 2 meters.

The answer is A.

Answer:

$14.60

Step-by-step explanation:

you do 2×2.50= 5

3×3.20= 9.6

Answer:

Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle

Step-by-step explanation:

thank you

Answer:

400

Step-by-step explanation:

The surface area is found when adding the areas of all the squares in the prism. 5x10=50, and we have that square twice, so 100. Again, 5x10=50, and we have that twice, so another 100. Then, 10x10, which is 100, and we have two of those, so 200. 100+100+200=400

Hope that helped, have a nice day!

Answer:

A. 400cm²

Step-by-step explanation:

The jewelry box is a rectangular prism.

Formula for surface area of a rectangular prism:

A = 2(w*l+h*l+h*w)

Plug in the numbers:

A = 2(10*10+5*10+5*10)

A = 400

Answer:

i dont see pic

Step-by-step explanation:

Answer:

[tex]x=12\times \text{tan}(20^0)[/tex]

Step-by-step explanation:

From the figure attached,

Measure of an angle = 20°

Measure of the opposite side = x

Measure of the adjacent side = 12

By applying tangent rule in the given right triangle,

tan(20°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\text{tan}(20^0)=\frac{x}{12}[/tex]

[tex]x=12\times \text{tan}(20^0)[/tex]

Therefore, equation to get the value of 'x' will be,

[tex]x=12\times \text{tan}(20^0)[/tex]

Answer: x=23/30

Step-by-step explanation: Hope this help :D