There are 12 boys and 13 girls in a class. If the teacher randomly chooses a student's name out of a hat, what is the probability it will be a girl?

◯ 48%
◯ 50%
◯ 52%
◯ 92%

Answer:

4.4 * [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

4.4 x 10^6

Step-by-step explanation:

The decimal in scientific notation needs to be less than 10, so in this case the decimal has to be 4.4.

After you place the decimal you should have, 4.400000.

Count how much decimal spaces you have to jump in order to get to the end of the number overall, in this case, it is 6 to the 10th power.

So the answer would be, 4.4 x 10^6  

Answer:

what's the question i need more info

P = a + b + c =4.81 + 8.8 + 8.42 = 22.03

Answer:

Step-by-step explanation:

With reference angle x

perpendicular (p) = 11

hypotenuse (h) = 18

Now

sin x = p / h

sin x = 11 / 18

x = sin ^-1( 11/ 18)

x = 37.66

x = 37.7

Awnser: 37.7

Sin: Oppostie/Hypotonuse

11/18=sin(x)

sin^-1(11/18)= 37.6698...

Answer:

490.9 yards squared.

Step-by-step explanation:

you would use the formula for area of a circle r^2 x pi

the diameter is 25, so the radius is 1/2 of that or 12.5

12.5^2 x pi = 490.9

answers:

4.C po

Step-by-step explanation:

i hope its help

Answer:

2000 milliliters, because 1 liter equals 1000 milliliters, so 2 equals 2000! hope this helped!

Answer:

Operations Inverse operations

Addition             Subtraction

Subtraction      Addition

Multiplication      Division

Division           Multiplication

Step-by-step explanation:

i hope this will help you

Answer:

#1: Alternet Exterior

#2: Corresponding

#3:Same Side Interior

#4:Alternate Interior

Step-by-step explanation:

(The Blue box in the image represent the inside/interior)

Hopefully the image helps!

5k + 30 = -20 - 5k

5k + 5k = -20 - 30

10k = -50 / : 10

k = -5

Answer:

-5 = k

Step-by-step explanation:

5k + 30 = -20 - 5k

5k + 30 + 20 = 5k + 50

-20 - 5k + 20 = -5k

5k + 50 = -5k

5k + 50 - 5k = 50

-5k - 5k = -10k

50 = -10k

50 / -10 = -5

-10k / -10 = k

-5 = k

Answer:

15%

Step-by-step explanation:

Since 23 is 115% of 20, we can therefore know that it's 15% increase from 20.

Answer:

The correct answer is C:

The area of the triangle is 21 square feet, because the area of the

rectangle is 42 square feet.

Answer: $48.

Step-by-step explanation:

Since each slice of pizza is $2 and Wyatt bought 14 slices of pizza, you would multiply 14 by 2 then add it onto the cost of the membership.

14 * 2 = 28

20 + 28 = 48

The monthly cost for 14 slices of pizza is $48.

Answer:

the other two sides are 31.11 feet and 31.11 feet

Step-by-step explanation:

since two angles are 50°, the triangle is isosceles with the other two sides being equal in length.

A right triangle is formed by a line from its peak down & perpendicular to

the 40 foot side. It's hypotenuse is the unknown (x) and it's base is 40/2 = 20 feet.

cos 50 = 20/x

0.6428 = 20/x

x = 31.11 feet

Answer:

Question 11:

[tex]\angle DAC = 53^\circ[/tex]

[tex]\angle AED = 90^\circ[/tex]

[tex]\angle ADC = 74[/tex]

[tex]DB = 16[/tex]

[tex]AE = 6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

Question 11

Given

[tex]\angle BAC = 53^\circ[/tex]

[tex]DE = 8[/tex]

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): [tex]\angle DAC[/tex]

Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles

i.e

[tex]\angle DAC = \angle BAC[/tex]

So:

[tex]\angle DAC = 53^\circ[/tex]

Solving (b): [tex]\angle AED[/tex]

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

[tex]\angle AED = 90^\circ[/tex]

Solving (c): [tex]\angle ADC[/tex]

First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:

[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]

[tex]\angle ADE + 90 + 53 = 180[/tex]

[tex]\angle ADE + 143 = 180[/tex]

[tex]\angle ADE = -143 + 180[/tex]

[tex]\angle ADE = 37[/tex]

To calculate [tex]\angle ADC[/tex], we have:

[tex]\angle ADC = 2*\angle ADE[/tex]

[tex]\angle ADC = 2* 37[/tex]

[tex]\angle ADC = 74[/tex]

Solving (d): [tex]DB[/tex]

From the rhombus

[tex]DB = DE +EB[/tex]

Where

[tex]DE =EB[/tex]

So:

[tex]DB = 8 + 8[/tex]

[tex]DB = 16[/tex]

Solving (e): [tex]AE[/tex]

To do this we consider [tex]\triangle ADE[/tex]

Using the tan formula

[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]

[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]

So:

[tex]\tan(37) = \frac{AE}{8}[/tex]

[tex]AE = 8 * \tan(37)[/tex]

[tex]AE = 6.03[/tex]

Solving (f): [tex]AC[/tex]

This is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

[tex]AC = 6.03 +6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12: Isosceles Triangle

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Answer:

[tex] y = \frac{3}{7} x + 3 [/tex]

Step-by-step explanation:

Line is passing through the points (0, 3) and (7, 6)

So, y-intercept (b) = 3

Slope of the line (m) = (6 - 3)/(7 - 0) = 3/7

Equation of line in slope-intercept form is given as :

y = mx + b

Plugging the values of m and b in the above equation, we find:

[tex]y = \frac{3}{7} x + 3 \\ [/tex]

Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]

Step-by-step explanation:

Given

x and y is in the fourth quadrant

[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]

we know,

[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]

using  [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]

[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]

[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]

Answer: 1.38

Step-by-step explanation:

552

x 25

02760

11040

02760+11040=13800.

then you put your decimal over 4 spots and you take the 2 zeros off the end and get your answer of

Answer:

the surface area is 544 square units

Step-by-step explanation:

the tringles first

12 x 8 = 96

base

12 x 14 = 168

sides

10 x 14 x 2 = 280

96 + 168 + 280

im going to break it down

000 + 100 + 200 = 300

90 + 60 + 80 = 230

6 + 8 + 0 = 14

300 + 230 = 530

530 + 14 = 544

The surface area of the triangular prism is equivalent to 330 units square.

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.

Given is a triangular prism as shown in the image.

We can calculate the surface area of the triangular prism as follows -

A{P} = {2 x A(T)} + {2 x A(R)} + A{B}

A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}

A{P} = 12 x 8 + 2 x 140 + 14 x 12

A[P} = 4{3 x 2} + 2(7 + 6) + 280

A[P} = 24 + 26 + 280

A{P} = 330 units square

Therefore, the surface area of the triangular prism is equivalent to 330 units square.

To solve more questions on prisms, visit the link below -

https://brainly.com/question/11336446

#SPJ2

Answer:

[-5,1] or [-4,5]

Step-by-step explanation:

Here, we want to get the intervals over which there is an average rate of change of zero for f

For this to happen, over the given interval, there will not be a change in the y-axis value

What this mean is that the y-axis value will remain the same over this given interval

for x = -5 to x = 1, we have this

for x = -4 to x = 5 , we have this

Answer:

4h+3

Step-by-step explanation:

3h+h+3

4h+3

Answer:

area = 120.7 cm²

Step-by-step explanation:

net area = area of rectangle - area of semi-circle

area = (19 x 7.5) - 1/2(3.14)(4.5²)  

area = 152.5 - 31.8 = 120.7 cm²

Answer:

largest ∡ = 81°

Step-by-step explanation:

44 + 3x - 11 + 4x - 7 = 180

7x + 26 = 180

7x = 154

x = 22

4(22)-7 = 81

Answer:

rectangular prism

Step-by-step explanation:

The sides fold up into a rectangular shaped box, or a prism. Hope this helps!

Answer

1953. 64

Step-by-step explanation:

Answer:

33.51

Step-by-step explanation:

V=4 3πr3=4 3·π·23≈33.51032

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

See the thing on the left?

▢ unknown

-  =  -

▢   1

Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!

::::;

Julius’s walking rate is

(12 miles)/(3 hours) = (4 miles)/(1 hour)

time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles

time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles

time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles

time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours

time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours