1. There are 5 red , 7 blue and 6 green biros in a packet. What is probability of a boy picking a green or red biro closing his eyes ?

2. In a basket of fruits, there are 6 grapes , 11 bananas and 13 oranges. if one fruit is chosen at random , what is the probability that the fruit is either a grape or banana ?

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Answer:

[tex]\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}[/tex]

Step-by-step explanation:

In any triangle, the Law of Sines states that the proportion of the sine of each angle and its opposite side is maintained throughout all 3 angles and their corresponding sides of a triangle:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Thus, we have [tex]\implies \boxed{\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}}[/tex]

Answer:

30 cubic feet

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Height of cone (h) = 10 feet

Base surface area = π[tex]r^{2}[/tex] =  9 sq. feet

So we can calculate the volume of cone by using following formula,

volume of cone = (1/3)π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

Volume of cone = (1/3) 9 × 10

= 3 × 10

= 30 cubic feet

Answer:

See Explanation

Step-by-step explanation:

According to The Question,

Given That, On a coordinate plane, ΔPQR and ΔSTU are shown. ΔPQR has points (4,4) , (-2,0) , (-2,4). ΔSTU has points (2,-4) , (-1,-2) , (-1,-4).

The distance between two points on the coordinate plane is given as:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

IQRI = [tex]\sqrt{(-2_{}-(-2)_{})^{2} + (4_{}-0_{})^{2} }[/tex] = 4

IPQI = [tex]\sqrt{(-2_{}-4_{})^{2} + (0_{}-4_{})^{2} }[/tex] = √52

IPRI = [tex]\sqrt{(-2_{}-4_{})^{2} + (4_{}-4_{})^{2} }[/tex] = 6

ISTI = [tex]\sqrt{(-1_{}-2_{})^{2} + (-2_{}-(-4)_{})^{2} }[/tex] = √13

ISUI = [tex]\sqrt{(-1_{}-2_{})^{2} + (-4_{}-(-4)_{})^{2} }[/tex] = 3

ITUI = [tex]\sqrt{(-1_{}-(-1)_{})^{2} + (-4_{}-(-2)_{})^{2} }[/tex] = 2

Now, Verifying that the triangles are similar  

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2  

|PQ| / |ST| = √52 / √13 = 2

Hence,   |QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Answer: the answer is Complete the statements to verify that the triangles are similar.

StartFraction Q R Over T U EndFraction = ✔ 2

StartFraction P R Over S U EndFraction = ✔ 2

StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = ✔ 2

Therefore, △PQR ~ △STU by the ✔ SSS similarity

theorem.

Step-by-step explanation: it is show down below.

Step-by-step explanation:

diameter(d): 18

radius(r): 18 ÷ 2 = 9

area of a semi-circle:

[tex]\frac{\pi {r}^{2}}{2}[/tex]

[tex]= \frac{\pi \times 9 \times 9}{2} = 127.23[/tex]

Answer:

The slope is steeper and the line is shifted downwards.

The y-intercept is shifted downwards.

Step-by-step explanation:

We proceed to demonstrate the transformation from the line A to line B:

1) [tex]y = x + 2[/tex] Given.

2) [tex]y = 3\cdot x + 6[/tex] Vertical dilation.

3) [tex]y = 3\cdot x +1[/tex] Vertical shift of the line in 5 units in the -y direction/Result

Hence, the answer is:

The slope is steeper and the line is shifted downwards.

The y-intercept is shifted downwards.

Answer:

=3x+26x-20

=29x-20

Hope this helps! have a great day ahead! :D

Answer:

= 29x-20

Step-by-step explanation:

= 3x + 2 6x - 20

= 29x-20

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

-1.2

Step-by-step explanation:

3n + 5 = 1/2(11n + 16)

3n + 5 = 5.5n + 8

5 = 2.5n + 8

-3 = 2.5n

-3/2.5 = n

-1.2 = n

Hope this helps!

Answer:

[tex]n=-1.2[/tex]

Step-by-step explanation:

First, solve both sides of the equation:

[tex]3n+5=\frac{1}{2} (11n+16)[/tex]

[tex]3n+5=(\frac{1}{2} )(11n)+(\frac{1}{2} )(16)[/tex] (Distribute)

[tex]3n+5=\frac{11}{2} n+8[/tex]

Then, subtract 11/2 n from both sides:

[tex]3n+5-\frac{11}{2}n=\frac{11}{2} n+8-\frac{11}{2} n[/tex]

[tex]\frac{-5}{2}n+5=8[/tex]

Now, subtract 5 from both the sides:

[tex]\frac{-5}{2} +5-5=8-5[/tex]

[tex]\frac{-5}{2} n=3[/tex]

For the last step, multiply both the sides by 2 / -5

[tex](\frac{2}{-5} )*(\frac{-5}{2} )=(\frac{2}{-5} )*(3)[/tex]

[tex]n=\frac{-6}{5}[/tex]

Convert it to decimal:

[tex]n=-1.2[/tex]

Answer:

It means goes up by twos for example 2,4,6,8 all those numbers increase by 2s.

Step-by-step explanation:

Answers:

============================================================

Explanation:

Let x and y be the two angles such that x < y. Also, we'll make both values to be positive numbers.

Since one angle is 1/3 of the other angle, this means

smaller angle = (1/3)*(larger angle)

x = (1/3)y

3x = y

y = 3x

The two angles add to 180 degrees since they are a linear pair. A linear pair of angles always forms a straight line.

x+y = 180

x+3x = 180

4x = 180

x = 180/4

x = 45

Use that x value to find y.

y = 3x

y = 3*45

y = 135

The two angles are x = 45 and y = 135

---------

Check:

x+y = 45+135 = 180

so the answer is confirmed.

Area of square A = 16 cm

side of square A a1 = 4cm

side of square A = 2/3(2/3a3)

a1= 4/9a3

a3 = 9cm

Area of square C = 9×9= 81 Cm²

Answer:

4374

Step-by-step explanation:

Since, we are given table for x and y values

and table for average rate of changes

we can see the pattern of average rate of change

average rate of change for 5 to 6 is three times average rate of change for 4 to 5

but we have to find

average rate of change for 7 to 8

so, using same pattern

average rate of change for 6 to 7 is three times average rate of change for 5 to 6

average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)

so, we can plug value

average rate of change for 7 to 8 is 3*3*486

average rate of change for 7 to 8 is 4374

Answer:

(0,3)

Step-by-step explanation:

In this case the vertex is the maximum point of the parabola

vertex : (0,3)

Answer:

Two hundred would be appropriate for a random sample.

Answer:

the first one is 23

the second 18

the third 4.7

Step-by-step explanation:

10-2+15 = 8+15 = 23

x³-9 = 3³-9 = 27-9= 18

6.5-n= 6.5-1.8= 4.7

Answer:

D i think sorry if it's wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

The height is connected to the base of 16cm

Area = b * h

b = 16

h = 5

Area = b * h

Area = 16 cm * 5 cm

Area = 80 cm^2

Answer:

The area of parallelogram is 80 cm ².

Step-by-step explanation:

We have ,

A parallelogram having

To Find :-

Solution :-

Using Formula

Area of parallelogram = base × height

substitute the values

Area of parallelogram = 16 cm × 5 cm

multiply , we get

Area of parallelogram = 80 cm²

Given:

Total cheese = 12 pound

Cheese in each package = [tex]\dfrac{1}{2}[/tex] pounds

To find:

The number of cheese packages.

Solution:

We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.

[tex]\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}[/tex]

[tex]\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}[/tex]

[tex]\text{Number of cheese packages}=12\times \dfrac{2}{1}[/tex]

[tex]\text{Number of cheese packages}=24[/tex]

Therefore, there are 24 number of cheese packages.

Answer:

use the formula volume =π × r square × h

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

1. When two chords intersect each other inside a circle, the products of their segments are equal. ... One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

2. If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .

3. The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

Answer: Domain

Step-by-step explanation: I just did this question, and got it correct by putting domain.

The input or values that you could put into an expression or

equation is called a Domain

Domain is set of values in a function . The range of the function is the set of values that the function assume .

Since , domain refers to the set of possible input values , it consists of all the input values shown on the x axis .

The input or values that you could put into an expression or

equation is called a Domain

learn more about Domain:

https://brainly.com/question/13113489?referrer=searchResults

#SPJ2

Answer:

Area of the rectangle     = 3x² +2x-1

Perimeter of the rectangle   = 8x

Step-by-step explanation:

Given

length = (3x - 1)

width = (x + 1)

Area of the rectangle= length * breadth

Area of the rectangle = (3x - 1)  (x + 1)

                                      = 3x²+ 3x - x-1

                                        = 3x² +2x-1

Perimeter of the rectangle = 2( length + breadth)

                                         = 2[(3x - 1) + (x + 1)]

                                             = 2[3x - 1 + x + 1]

                                          = 2[ 4x]

                                             = 8x

Answer:

14/2.8

Step-by-step explanation:

Answer:

What equation would represent how much gas Mona purchased?

✔ 2.80(g) = 14

How many gallons of gas did Mona purchase?

✔ 5 gallons

If Mona’s car gets 20 miles per gallon, how many miles did she drive since the last time she filled up her tank?

✔ 100 miles

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

f(x) = 3x + 4

substitute -4 in place of x

f(-4) = 3*-4 + 4

f(-4) = -12 + 4

f(-4) = -8

Answer:

1809.6

Step-by-step explanation:

Volume of a cylinder

V= pie* r ^2*h

Answer:

v = 1,809.56

Step-by-step explanation:

Formula=

V = Pi (3.14) r^2 h

pi 6^2·16

Answer:

Option D

Step-by-step explanation:

Given the function [tex]g(x)=\frac{-7(x-5)^2(x+6)}{(x-5)(x+5)}[/tex], we see that [tex](x-5)[/tex] appears in both the numerator and denominator which cancel out to be [tex]\frac{-7(x-5)(x+6)}{(x+5)}[/tex]. This means that there's a vertical asymptote at [tex]x=-5[/tex] for the denominator to be 0.

Additionally, the limit of the function g(x) as x approaches -5 from the left side is -∞. The limit of the function g(x) as x approaches -5 from the right side is ∞. See the attached graph for a visual of these limits.

In conclusion, option D is correct.

Answer:

22 ft³

Step-by-step explanation:

Applying,

V = 1/3(Ah).................... Equation 1

Where V = Volume of the pyramid, A = Area of the base, h = height of the pyramid.

But,

A = 1/2bl................ Equation 2

Where b = base of the triangle. l = height of the triangle.

Substitute equation 2 into equation 1

V = 1/6(blh).............. Equation 3

From the diagram,

Given: b = 3 ft, l = 4 ft, h = 11 ft

Substitute these values into equation 3

V = 1/6(3×4×11)

V = 1/6(132)

V = 22 ft³

Answer:

5.50 Each

Step-by-step explanation:

Answer:

Step-by-step explanation:

3P + 4N = 28

6P+ 8N = 56

4P +8N  52

2P     = 4

P = 4/2 = 2  = $2

3(2)+4N = 28

4N = 28-6=22

N = 22/4 = 5.5= $5.50= cost of one notebook