What is the length of side AB? please help

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

The solution is, the total number of yards that both quarterbacks threw in the championship game is 473 yards.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

quaterback A threw for 220 yards.

Quaterback B threw 15% mor yards than quarterback A.

i.e. B threw = 220 + 220*15%

                   = 220 + 33

                   =253

so, we get,

the total number of yards that both quarterbacks threw in the championship game = 220 + 253

                                  =473 yrd

Hence, The solution is, the total number of yards that both quarterbacks threw in the championship game is 473 yards.

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The distance between 1 - 10 1/4​

____________________

1 - 10 1/4 = -9 1/4

_________________________

Answer

-9 1/4

9 1/4 (in absolute value)

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

Step-by-step explanation:

∡5 = 42°

find: ∡ 14

solution:

since ∡5 = ∡13 = 42°

∡14 = 180 - ∡13

      = 180 - 42

      = 138°

Answer:

10-12

Step-by-step explanation:

1.5% of 800 is 12

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The required equation is :

\(\qquad \rm \dashrightarrow \:y =a \cos(bx) + k\)

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

\(\qquad \rm  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2\)

The value of the missing sides in the parallelogram are x = 3 and y = 6

In other to solve the question posted, we use the law which relates to the sides of a parallelogram which establishes that opposite sides of a parallelogram are of equal length.

This means that the side opposite length of 3 will also be 3 and vice-versa

side x = 3

side y = 6

Therefore, the missing sides of the parallelogram are 3 and 6 for sides x and y respectively.

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Given the right-angled traingle as shown in the question

Let the unknown angle be x

Hence, the measured angle is 35.66°

Answer:

2x - 3 - (x-1)

2x - 3 -x +1

x-2

Answer:

The clockwise rotation of  ΔAPG about 90 degree gives ΔCPA.

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given:

We have ΔAPG.

Now, we have to rotate about 90 clockwise rotation.

Then, ΔAPG will overlap on ΔCPA

Hence, the clockwise rotation of  ΔAPG about 90 degree gives ΔCPA.

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The actual weight of the animal is between 450.2 and 426.2 pounds

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

Inequality can be used to show that two variables or numbers are not equal to each other.

The weight of the larger animals can be off by 12 pounds. Let x represent the actual weight of the animal. If the scale reads 438.2 lbs, hence:

|x - 438.2| = 12

x - 438.2 = 12; or -(x - 438.2) = 12

x = 450.2; or x = 426.2

The actual weight of the animal is between 450.2 and 426.2 pounds

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Answer:

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

This can be easily calculated by substituting the value of radius in the formula of area ~

\(Area \: = \pi \: r {}^{2} \\ \\ \implies \: \frac{22}{7} \times 8 \times 8 \\ \\ \implies \: \frac{1408}{7} \\ \\ \implies \: 201.14 \: miles {}^{2} \)

hope helpful ~

\(\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}\)

200.96 miles²

Step-by-step explanation:

\( \textsf{\underline{\large{To find :-}}}\)

The area of circle

\( \textsf{\underline{\large{Given :-}}}\)

radius of circle (r) = 8 miles

\( \textsf{\underline{\underline{\huge{Solution :-}}}}\)

\( \sf \blue {Area \: of \: circle = \pi {r}^{2} }\)

now we will substitute the value of r

\( \sf \implies Area = \pi {8}^{2} \\ \\ \sf \implies Area = \pi \times 8 \times 8\)

\( \sf \pi = \frac{22}{7} \: or \: 3.14 \\ \sf here \: we \: will \: use \: \pi = 3.14\)

\( \sf \implies Area = 3.14 \times 8 \times 8 \\ \\ \sf \implies { \green{ Area = 200.96 \: {miles}^{2} }}\)

The principal if the bank manager also wants to advertise that one can earn $10 the first month is $4000.

From the information, the simple interest is $10 and the rate is illustrated as 3%.

The formula for the simple interest in a month is illustrated as:

S = (p × r × t/12 / 100)

r = rate

t = time

S = interest

Place the values in the formula:

10 = p × 3 × 1 / 100 × 12

10 = 3p/1200

Cross multiply

3p = 12000

Divide

p = 12000/3

p = 4000

The principal is $4000.

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The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

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Answer:

Step-by-step explanation:

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

133.33% of 3 is 4.

Step-by-step explanation:

x% of 3 = 4

x/100 × 3 = 4

3x/100 = 4

3x = 400 [cross multiplication]

x = 400/3

x = 133.33%

_______

Hope it helps ⚜

x percentage of 3 is 4.

the unknown ( x ).

let the unknown be x.

\( \frac{100\%}{x\%} = \frac{3}{4} \)

\( \frac{x\%}{100\%} = \frac{4}{3} (reciprocal)\)

\(x = 133.33\%\)

hence, 4 is 133.33% of 3.

ANSWER

m = 90

EXPLANATION

To find m first we have to multiply both sides by m:

Then multiply both sides by 27:

And finally divide both sides by 18:

The perimeter of this geometric figure is equal to 84x² + 2y units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W) or P = 2L + 2W

Where:

In this scenario, we would determine the perimeter of this geometric figure by adding all of the side lengths as follows;

Perimeter of this figure = 31x² + y + 14x² - y + 23x² + 5y + 16x² - 3y

Perimeter of this figure = 84x² + 2y units.

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Complete Question:

How to do this type of perimeter for algebra?

Answer:

Step-by-step explanation:

2.38 km x 10^4 = 23,800 decimeters

Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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last option 41/3 ir 13/3

Answer:

it it the highest or lowest point of a parabola

Answer:

  $4121.61

Step-by-step explanation:

Use the formula for the balance of an ordinary annuity.

  A = P((1 +r/n)^(nt) -1)/(r/n)

  A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61

The future value of the account is $4121.61.