The second angle of a triangle is five times as large as the first. The measure
of the third angle is 12 degrees greater than that of the first angle. What is
the measurement of the largest angle?

Answer:

C. 4 square centimeters

Answer:

7

Step-by-step explanation:

I think because at if you divide 45 by 6 because its 45 minutes from 4:15 to 5:00 and it grows 6 inches longer every five min

Answer:

y=7x+2

please someone correct this if I'm wrong :D

EDIT: THIS IS SLOPE INTERCEPT FORM IM SORRYY

Step-by-step explanation:

y=mx+b

y=7x+b

y=7x+2

2 is the y in (1,2), y intercept

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.

(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?

On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:

50 ≤ score ≤ 60   ==>   50-60

60 < score ≤ 70   ==>   60-70

70 < score ≤ 80   ==>   70-80

80 < score ≤ 90   ==>   80-90

90 < score ≤ 100   ==>   90-100

Then a student who scored a 60 should be added to the 50-60 category.

The measure of angle A is 53.6° if angle A and angle B are supplementary angles.

According to the question,

We have the following information:

Angles A and B are supplementary.

Measure of angle B = 126.4°

We know that when two angles are supplementary then it means that the sum of these angles will be 180°.

So, we have the following expression:

Angle A + angle B = 180

Angle A+126.4 = 180

Subtracting 126.4 from both the sides of the equation:

Angle A = 180-126.4

Angle A = 53.6°

Hence, the measure of angle A is 53.6° if angle A and angle B are supplementary.

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Answer:

undefined

Step-by-step explanation:

when graphed, x=1 goes up and down which makes it's slope undefined

Answer:

(infinity)

Step-by-step explanation:

rate of change for the equation x = 1

use the formula: y = mx + b

where:

y = how far up the line goes

m = slope

x = how far along

b = Y-intercept

the equation is a vertical line,

so the slope = ∞ (infinity)

The correct statements and reasons to fill in the numbered blank spaces are:

Measure of angle AED is 36°

Base Angle Theorem

Angle ECB is congruent to angle AED

Corresponding angles are congruent

The flowchart should look like this:

Measure of angle AED is 36° | Given

Segment DE joins the midpoints of segment AB and AC | Given

Segment DE is parallel to segment BC | Midsegment theorem

Angle ECB is congruent to angle AED | Corresponding angles are congruent

Measure of angle ECB is 54° | Substitution property

The Base Angle Theorem states that in an isosceles triangle, the base angles are congruent.

In triangle AED, AD = AE, so triangle AED is isosceles. Therefore, angle AED = angle DEA = 36°.

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Answer:

Mr. Chan's total account receivable is of $212,500.

Step-by-step explanation:

$85,000 this month this represents 40% of our receivables

This means that 85000 is 40% = 0.4 of the receivables, which is x.

What is mr. Chan's total account receivable?

We have to find x

\(0.4x = 85000\)

\(x = \frac{85000}{0.4}\)

\(x = 212500\)

Mr. Chan's total account receivable is of $212,500.

Answer:

37

Step-by-step explanation:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

From the graph, the x coordinate 2, have a y coordinate of 120. Hence:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

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The surface area of the newly formed right pyramid is multiplied by scale factor 2.

Given that,
Right pyramid,
Edge of the base = 8 cm
Slant height = 25 cm

Surface area is defined as the area of the surface that is uncovered.

Surface area of the right pyramid = 1/2 * edge of the base * slant height

                                                       = 1/2 * 8 * 25
                                                       = 100 cm²
Now, two dimensions are doubled,
slant height = 50
Edge of the base = 16
New Surface area of right pyramid = 1/2 * edge of the base * slant height
                                                           = 1 / 2 * 50 * 16
                                                           = 400 cm²

Now, scale factor, the ratio of the surface areas later to the former,
scale factor = 400 / 100
scale factor = 4

Thus, the surface area of the newly formed right pyramid is multiplied by scale factor 2.

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Answer:

is 4

ksquared = 2squared = 4

Step-by-step explanation:

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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Answer:

12345 and 13524

hope this helps!

The amount of time it will take to completely fill the pool would be = 18 hours.

To determine the amount of time it will take to fill the pool, the volume of the pool is first calculated by dividing the figure to obtain two regular shapes of a trapezoidal prism and a square prism.

The volume of a trapezoidal prism = 1/2(a+b)×h×l

where;

a = 3m

b = 1m

h = 18-6 = 12m

l = 9m

Volume of the trapezoidal prism = 1/2(3+1)×12×9

= 4×12×9 = 432m³

Volume of square prism = length×width×height

where;

length = 6m

width = 9m

height = 1 m

Volume = 6×9×1 = 54m³

Therefore the volume of the pool = 432+54 = 486m³

If 4 hours = 2 m up from the deepest part

The volume filled for 4 hours = 1/2×2×12×9 = 108m³

If 4 hours = 108

X hours = 486

make X the subject of formula;

X = 4×486/108

= 1944/108

= 18 hours.

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Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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Answer:

sin 2x + cos x =  2 sin x cos x + cos x = (2 sin x + 1)cos x

Step-by-step explanation:

Given the expression: sin 2x + cos x,

then we can use the formula: sin 2x = 2 sin x cos x, which gives:

sin 2x + cos x =  2 sin x cos x + cos x = (2 sin x + 1)cos x

So there you have two expressions in terms of sin x and cos x, as requested. :D

Answer:

the answer is 228

Step-by-step explanation:

Ok to make it easier on you you take and do the rectangle first and break the triangles off the side so when you do 8x8x3 its 192 which is the rectangle then you do the triangle and since they’re both the same you can do 3x3 which is 36 then add it all up and you get 228

Answer:

15

Step-by-step explanation:

count

Step-by-step explanation:

I think D

Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.

The areas of the trapezoid is 50 units².

The trapezoid PQRS have bases 10 and 12 units respectively. The height of the trapezoid is unknown. Let's find the area of the trapezoid as follows:

area of trapezoid = 1 / 2 (a + b)h

where

Therefore,

a = 10 units

b = 15 units

Using Pythagoras's theorem,

5² - 3² = h²

h = √25 - 9

h = √16

h = 4 units

area of trapezoid = 1 / 2 (10 + 15)4

area of trapezoid = 1 / 2 × 25 × 4

area of trapezoid = 100 / 2

area of trapezoid = 50 units²

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If a solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane with each object having mass m and radius r then the solid sphere will reach the bottom first.

We know that each object has uniform density and that they all roll without slipping. Also, size, mass, density, and height don’t matter.

let, mass = m

gravity = g

height = h

final velocity = v

radius  = r

angular velocity = ω = vr

moment of inertia = I = km\(r^{2}\)

(where  k  is a measure of the average distance of the mass of an object from its rotational axis)

Now using the law of conservation of energy,

mgh = 1/2m\(v^{2}\) + 1/2I \(\omega^{2}\)

2gh =  \(v^{2}\)+ k\(v^{2}\)

v = \(\sqrt{\frac{2gh}{1+k} }\)

Now if we want to maximize v  we will have to minimize k  -that is we want the mass to be concentrated close to the center. This is inherent as we don’t want the object to waste energy in spinning but rather concentrate it on maximizing the object's speed.

Thus, the hollow sphere whose all the mass is present at the edge will come down slowly while the solid sphere whose mass is concentrated in the center will come down quickly.

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Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

The value of x in the angle is 15

The given parameters are

m < CDF = (3x + 14), m < FDE = (5x -2), and m < CDE = (10x - 18)

The above means that

Line FD divides angle CDE

So, we have

CDE = CDF + FDE

This gives

10x - 18 = 3x + 14 + 5x - 2

Evaluate the like terms

2x = 30

Divide both sides by 2

x = 15

Hence, the value of x in the angle is 15

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The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

Answer:

I think this is a true or false if so the answer is true:)

Answer:If its true or false the answer is FALSE

Step-by-step explanation: Just took the test