The number of students in a classroom is 46. If there are 12 girls more than boys, how many boys are there?

Answer:

a) 66 degrees

b) 32 degrees

Step-by-step explanation:

a) 90+24

=114

180-114

=66 degrees

b) 180-51= 129

x= 129+19

148

180-148

= 32

mark me brainliestt :)) i worked hard

Answer:

p(not L) = 7/8, 0.875, 87.5%

Step-by-step explanation:

8 letters in total

7 are not L

p(not L) = 7/8, 0.875, 87.5%

Answer:

Domain of the function → (-6, ∞)

Range of the function → (-∞, ∞)

Step-by-step explanation:

Domain of a function is the set of x-values of the function.

Similarly, Range of the function is the set of y-values.

From the graph attached,

Domain of the function → (-6, ∞)

x-values of the function starts from x = -6 (excluding x = -5) and tends to the positive infinity.

Range of the function → (-∞, ∞)

y-values starts from negative infinity and tends to positive infinity.

Answer:

32 ft²

Step-by-step explanation:

Given :

The dimensions for a storage box :

3 by 2 by 2

The surface area of a box is obtained using the expression :

Surface Area = 2(lh + lw + hw)

Where h, l, w are height, lengtb and width respectively

Surface area = 2[(3*2) + (3*2) + (2*2)]

Surface area = 2[6 + 6 + 4]

= 2(16)

= 32 ft²

Answer:

2.7

or

2.75

or

2.8

Answer:

Area:  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Area - Integrals

Integration Rule [Reverse Power Rule]:                                                                   [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                        [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Addition/Subtraction]:                                                           [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

U-Substitution

Area of a Region Formula:                                                                                       [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify functions

[tex]\displaystyle f(x) = \sqrt[3]{x - 9}[/tex]

[tex]\displaystyle g(x) = x - 9[/tex]

Step 2: Identify Info

Graph the functions - See Attachment

[1st Integral] Bounds: [8, 9], g(x) top function/f(x) bottom function

[2nd Integral] Bounds: [9, 10], f(x) top function/g(x) bottom function

Step 3: Find Area Pt. 1

Step 4: Identify Variables

Identify variables for u-substitution.

u = x - 9

du = dx

Step 5: Find Area Pt. 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integrals - Area between 2 curves

Book: College Calculus 10e

Answer:

c ------ 1/3(40) ft^3

Step-by-step explanation:

searched the formula for volume of a cylinder

Step-by-step explanation:

the only thing youre missing is

radius = diameter / 2

Answer:

78.54 cm squared

Step-by-step explanation:

A=πr^2

Since they only give the diameter, divide the diameter by 2

π*25 = 78.54

Have a good day :)

Answer:

256 ft²

Step-by-step explanation:

[tex]SA=2(lw+lh+wh)[/tex] where l is length and w is width and h is height

Plug in the given information

[tex]SA=2(5*4+5*12+4*12)\\SA=2(20+60+48)\\SA=2(80+48)\\SA=2(128)\\SA=2(128)\\SA=256[/tex]

Therefore, the surface area of the rectangular prism is 256 ft².

I hope this helps!

Answer:

We know that

SA = 2(lw + wh + lh)

SA = 2[(5 × 4) + (4 × 12) + (5 × 12)]

SA = 2[20 + 48 + 60]

SA = 2[128]

SA = 256 ft²

[tex] \\ [/tex]

Answer: 122 degrees

Step-by-step explanation:

Don’t feel like explaining.

Answer:

c

Step-by-step explanation:

ΔABD is congruent with ΔCDB.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

A figure that contains two triangles.

Two triangles ΔABD and ΔCDB

AB = CD (given)

BAD = DCB (given)

AD = CB (given)

By SAS rule

ΔABD ≅ ΔCDB

Thus,

ΔABD ≅ ΔCDB

Learn more about triangles here:

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Answer:

The correct answer is - £ 40.5 for 3 large packs.

Step-by-step explanation:

Given:

Large pack = 40 tiles £18

Small pack = 28 tiles £14

Special offer = 25% reduction when you buy 3 or more large packs.

Solution:

Following combinations are possible for tom to get the tiles he needs:

1. 3 large packs

40*3 = 120 tiles with 25% discount

cost = 18*3 - 0.25*18*3 = 40.5

2. 4 small packs

28*4 = 112 tiles

cost = 14*4 = 56

3. 2 large packs and 1 small pack

40*2 + 28 = 108 tiles

cost = 18*2 + 14 = 50

4. 1 large pack and 3 small packs

40 + 28*3 = 124 tiles

cost = 18 + 14*3 = 60

Thus, the correct answer is - 1st case with three large packs.

Answer:

The evidence is not sufficient to suggest that the theft rate of Nissan Maxima cars are higher than national rate

Step-by-step explanation:

The number of cars that where reported stolen in 1999 = 2.2% = 0.022

The number of Nissan Maxima cars in the sample = 400

The number of Nissan Maxima cars that were reported stolen = 12

The level of significance, α = 0.05 level

The critical-z at 0.05 = 5% level = 1.645

The percentage of Nissan Maxima cars reported stolen, [tex]\hat p[/tex] = 12/400×100  = 3%

The test statistic is given as follows;

[tex]z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0 \cdot (1 - p_0)}{n}}}[/tex]

Therefore

[tex]z=\dfrac{0.03-0.022}{\sqrt{\dfrac{#0.022 \cdot (1 - #0.022)}{400}}} \approx 1.0908[/tex]

The test statistic = 1.0908

The p-value P(Z > 1.0908) = 1 - P(Z > 1.0908) = 1 - 0.86214 = 0.13768

Given that the critical-z is larger than the absolute value of the test statistic, the given data is statistically insignificant, we fail to reject the null hypothesis

There is not enough statistical evidence to suggest that the theft rate of Nissan Maxima cars are higher than national rate.

Answer:

Step-by-step explanation:

Multiply by 2

Answer:

Tip $6

Total Amount $36

Step-by-step explanation:

20% of $30 is 6

$30 + $6 = 36

Answer:

x = 25

Step-by-step explanation:

Angles in a triangle add up to equal 180

Thus, 180 = 27 + 53 + 4x

We now solve for x

step 1 combine like terms

27 + 53 = 80

we now have 180 = 80 + 4x

step 2 subtract 80 from each side

180 - 80 =  100

80 - 80 cancels out

we now have 100 = 4x

step 3 divide each side by 4

4x / 4 = x

100 / 4 = 25

we're left with x = 25

Answer: [tex]12.6\ m[/tex]

Step-by-step explanation:

Given

Distance of Point S is 18 m from tower

Distance of point R is 24 m form tower

Suppose the height of tower PQ is h

angle of elevation of Q from S is [tex]35^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan 35^{\circ}=\dfrac{h}{18}\\\\\Rightarrow h=18\tan 35^{\circ}\\\Rightarrow h=12.60\ m[/tex]

Answer:

z=1/4

Step-by-step explanation:

z-(1/5)=z(1/5)

z-(1/5)=z/5

5z-(5/5)=z

5z-1=z

-1=-4z

1/4=z

Therefore, z=1/4

The value of z for the given condition is given by 1/4.

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

Here the given mathematical condition is that the difference of z and one fifth is the same as the product of z and one fifth.

One fifth is = 1/5

Difference between z and one fifth is given by = z-1/5

Product of z and one fifth is given by = z*(1/5) = z/5

So according to the condition the mathematical equation would be,

z-1/5 = z/5

z-z/5 = 1/5

(5z-z)/5 = 1/5

4z/5 = 1/5

4z = 5*(1/5)

4z = 1

z = 1/4

Hence the required value of z is 1/4.

Learn more about Equation here -

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Answer:

n

Step-by-step explanation:

n

Answer:

£23.30

Step-by-step explanation:

First, find the cost from traveling 12.2 miles. Since the cost is £1.50 per mile, multiply 12.2 by 1.5:

12.2(1.5)

= 18.3

Add the standing charge to this:

18.3 + 5

= 23.3

So, the cost of his journey is £23.30

Answer:

From SOHCAHTOA

Cos17=73/y

y=73/cos17

y=76.34cm

Option B

Given–

AB = 12 Cm

CD = 14 Cm

PO = 10 Cm

AP = 1/2 × 12 = 6 Cm

Construction–

Draw NO such that it is the perpendicular bisector of CB.

Hence,

ND = 1/2 × 14 = 7 Cm

To Find,

Measure of NO

Solution,

Here, PO Perpendicular to AB

Hence, APO is a right-angled triangle–

AO² = PO² + AP²

Or, AO² = 10 ² + 6 ²

Or, AO² = 36 + 100

Or, AO = √136 Cm

Or, AO = 11.66 Cm

Also, AO = OD = 11.66 Cm

( Radius of the same circle )

Now, in triangle OND,

OD² = ON² + ND ²

Or, 11.66 ² = ON² + 7²

Or, 136 = ON² + 49

Or, ON ² = 136 – 49

Or, ON ² = 87

Or, ON ² = √87

Or, ON = 9.3 Cm

Therefore, the appropriate length from center to CD is 9.3 Cm.

Answer:

A

Step-by-step explanation:

Answer:

h = 66

h = 68

h = 71

Step-by-step explanation:

We have two inequalities:

h < 75  (h is strictly smaller than 75)

h > 64  (h is strictly greater than 64)

That represents the height restrictions in inches.

Now, we want to find 3 possible solutions to both inequalities.

To do it, we can write the two inequalities as one:

64 < h and h < 75

Writing these as one inequality, we get:

64 < h < 75

So the solutions can be any value of h larger than 64 and smaller than 75.

Then the solutions can be:

h = 66

h = 68

h = 71

These 3 values are solutions for both inequalities.

Answer:

Hey Jalynn Corona,

the answer is B.look at the picture i have sent

Answer:

220

Step-by-step explanation:

a dice has 6 sides

660 divided by 6 = 110

you asked for 2 numbers so

110 times 2 = 220