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Name:
Fraction Word Problems
Solve each problem.Answer as a mixed mumber (if possible).
1)
Olivia needed 4 1/6
feet of thread to finish a pillow she was making. If she has 4 times as
much thread as she needs, what is the length of the thread she has?
2.

The value of tan(θ) is approximately 0.88.

To find the value of tan(θ) when the distance from the point (1,0) to the point (0.75, 0.66) along the circumference of the unit circle, we'll first find the angle θ using the given points.

1. Since we're given points on the unit circle, we know their coordinates represent the cosine and sine values, i.e., (cos(θ), sin(θ)) = (0.75, 0.66).

2. Now, we need to find the value of tan(θ), which can be calculated using the formula: tan(θ) = sin(θ) / cos(θ).

3. Plugging in the values we have: tan(θ) = 0.66 / 0.75.

4. Performing the calculation, we get: tan(θ) ≈ 0.88.

5. Therefore, the value of tan(θ) when the distance from the point (1,0) to the point (0.75, 0.66) along the circumference of the unit circle is approximately 0.88.

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Answer:

Step-by-step explanation:

Third angle = 180 - (40 + 60)

                   = 180 - 100

                   =  80°

When you subtract the sum of 40 and 60 from 180, you will get the third angle.

Answer:

i think its a mirror

Step-by-step explanation:

mark as brainliest if its crct

Answer:

hour hand = 7.5 x 2 for the diameter. C = 2(pi)(15) = approx. 94 centimeters. Minute hand = 9.5 x 2 = 19, C = 2(pi)(19) = approx. 119 centimeters

Step-by-step explanation:

a) fractions; 15.3/3

b) yes, it is a rational number

The mass of the decoration is 200 kg and for each passenger car is 550 kg

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

These can be represented as

(6, 3500) and (4, 2400)

The slope of the above points represent the mass of each passenger car

This is calculated as

Slope = Difference in mass/Difference in number of cars

So, we have

Slope = (3500 - 2400)/(6 - 4)

Evaluate

Slope = 550

When there are no passenger cars in the train, we have

(0, Mass of decoration)

Using the slope formula, we have

Slope = (Mass of decoration - 3500)/(0 - 6)

So, we have

Slope = (Mass of decoration - 3500)/(-6)

This gives

(Mass of decoration - 3500)/(-6) = 550

Cross multiply

Mass of decoration - 3500 = -3300

Add 3500 to both sides

Mass of decoration = 200

Hence, the mass of decoration is 200 kg

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The Dickey-Fuller test is a statistical test used to determine the presence of a unit root in a time series variable, which indicates the degree of integration of the variable. The null hypothesis of the test is that the variable has a unit root and is non-stationary.

The Dickey-Fuller test calculates a t-statistic based on the coefficient estimate of an autoregressive lagged term in a regression model. If the calculated t-statistic is less than the critical value, the null hypothesis is rejected, indicating that the variable is stationary and does not have a unit root. The augmented Dickey-Fuller (ADF) test extends the Dickey-Fuller test by including additional lagged terms in the regression model. The purpose of adding lagged terms is to capture any potential serial correlation and provide more accurate results. The ADF test allows for testing multiple lags and selecting the appropriate lag length using information criteria such as the Akaike Information Criterion (AIC) or the Schwarz Information Criterion (SIC). By including more lags, the ADF test improves the reliability of the test and provides more robust results. In summary, both the Dickey-Fuller and augmented Dickey-Fuller procedures are used to test for the order of integration of a time series variable. They examine whether the variable exhibits a unit root, indicating non-stationarity. The ADF test, with its inclusion of additional lagged terms, enhances the reliability of the test and allows for the selection of the optimal lag length.

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The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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Answer:

140 m^2

Step-by-step explanation:

area of triangle is (base X height)/2

so it would be (20 X 14)/2

which equals 140

Answer:

\(\angle N\cong \angle Z\)

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ, \(MN=3\,,\,LN=2\,,\,YZ=9\,,\,XZ=6\)

To find: criteria that needs to be shown to prove ΔLMN \(\sim\) ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

\(\frac{LN}{XZ}=\frac{2}{6}=\frac{1}{3}\\\frac{MN}{YZ}=\frac{3}{9}=\frac{1}{3}\\\therefore \frac{LN}{XZ}=\frac{MN}{YZ}\)

So, ΔLMN \(\sim\) ΔXYZ by SAS similarity theorem if \(\angle N\cong \angle Z\)

For both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

The SAS Similarity Theorem states that two triangles are similar to each other if they have two pairs of corresponding sides that are proportional to each other and a pair included angles that are congruent.

△LMN and △XYZ have:

two pairs of corresponding sides that are proportional (YZ/MN = XZ/LN = 3)

Therefore, for both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

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Answer: 9 trees per row

Step-by-step explanation:

54/9 = 6

27/9 = 3

(2 rows of oak trees then 1 row of pine trees)

then you repeat that pattern by three.

Answer:

Alternate Exterior Angles

Step-by-step explanation:

Alternate exterior angles are two angles on the opposite outer sides of two parallel lines cut by a transversal.  

The two angles given, 2 and 7, are alternate exterior angles.

Hope it helps! :)

Answer:

(a) 1:12

(b) 12:1

(c) 1:100

(d) 100:1

Answer:

V≈743.25

Step-by-step explanation:

V=5

12tan(54°)ha2=5

12·tan(54°)·4·182≈743.24624

Answer:

im pretty sure it would be 9 bc there are 3 dif colours and 3 dif finishes and u j count the table

Step-by-step explanation:

Answer: move 7 places to the right and 3 places down

Step-by-step explanation:

To calculate the z-score from a given value, mean, and standard deviation, you can use the following formula:

z = (x - μ) / σ

z-score can be calculated using the formula

z = (x - μ) / σ

where:

- z is the z-score

- x is the value you want to standardize

- μ is the mean of the data set

- σ is the standard deviation of the data set

Here are the steps to calculate the z-score:

1. Determine the value you want to standardize (x).

2. Calculate the mean (μ) and the standard deviation (σ) of the data set.

3. Subtract the mean from the value you want to standardize (x - μ).

4. Divide the result by the standard deviation (σ) to get the z-score.

The z-score measures how many standard deviations an individual data point is away from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean. The magnitude of the z-score represents the distance from the mean in terms of standard deviations.

By calculating the z-score, you can compare different data points and determine their relative positions within a distribution. The z-score is useful for standardizing data and identifying outliers or unusual observations.

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Step-by-step explanation:

First she need to measure the complete wall distance and then divide it by 2

(I just tried the answer, Sorry if it is wrong)

We need not go so depth in this question and find it logically.

Answer:

120

Step-by-step explanation:

90 x 100 ÷ 75 = 120

As given by the question

There are given that the total number of boys is 8 and total numbers of girls is 6.

Now,

Since there are two competitions, one for boys and one for girls and we want all the possible results we will calculate the possible combination for the boys and multiply them by the possible combination for the girls.

Then,

For the boys:

Then,

Now,

For the girl:

Then,

Now,

A total number of possible results:

Hence, the ways are 40320.

Answer:

B

Step-by-step explanation:

Answer:

B only one angle is a right angle and the other two are acute

Step-by-step explanation:

its clear from looking at an angle lol

Answer:

x=0 y=-3

Step-by-step explanation:

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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If f(0) = 18 and f(1) = 13 then f(0) be the largest value.

A function is a relationship between a number of inputs where each input has exactly one output, according to one definition.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions denoted the idealized relationship between two changing quantities.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). If f exists typically utilized to denote a function (x).

Let the function f(x) = 18 - 5x

a) f(-4) = 18 - 5(-4) = 38

b) f(0) = 18 - 5(0) = 18

f(1) = 18 - 5(1) = 13

Therefore, f(0) be the largest value.

The complete question is:

Given the function f(x) = 18 - 5x

a. What is the value of function f given an input of -4 ?

b. Which is larger, f(0) or f(1)? Show your work to justify your answer.

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Answer:

there is 30 ways

Step-by-step explanation:

There are 6 people who can be president x 5 other people who can be vice president. so there is 30 ways

Answer: 27

Step-by-step explanation:

(2×10+5×6×0×3)+7

(20+5×6×0×3)+7

(20+30×0×3)+7

(20+0×3)+7

(20+0)+7

20+7

27