4th grade maths
I need help on questions 8 ,9,10 please ​

Answer:

170 in²

Step-by-step explanation:

Given that :

Side, a = 14 in

Angle formed =? 60°

Take height, = l

The ratio of height to side = Sine of the angle formed

l /s = Sine 60°

Sin 60 = sqrt(3)/2

l/s = sqrt(3)/2

l = sqrt(3)/2 * s

s = 14

l = 14 * sqrt(3)/2

l = 7sqrt(3)

Area of rhombus :

l * s

7sqrt(3) * 14

= 169.74097

= 169.74 in²

= 170 (nearest square inch)

When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

To know more about Multiplying visit:

brainly.com/question/23536361

#SPJ1

Answer:

13

Step-by-step explanation:

1. Go to desmos and pick the graphing calculator it. it's the first picture

2. Then type in the word (distance) and the points

3. the way to type it in is on 3 second screenshot

We are given the following parent function f(x)

The transformed function g(x) is

Notice that the change is done in the horizontal direction.

Recall that the transformation rule for the horizontal translation to the left is given by

Where c is the number of units by which the graph is shifted to the left.

So, we should expect that the graph is horizontally shifted to the left by 1 unit.

Therefore, the above is graph represents the transformed function g(x) which is horizontally shifted to the left by 1 unit.

Answer:

Part A: The two transformations that could be performed on Figure A to show the figures are congruent are: A reflection across the x-axis, A translation directly to the right.

Part A: The two transformations that could be performed on Figure A to show the figures are congruent are:

1. A reflection across the x-axis.

2. A translation directly to the right.

Part B: The true statement about Figure A, Figure A', and Figure A'' is:

Only Figure A is congruent to Figure A'.

Learn more about transformations at https://brainly.com/question/4289712

#SPJ1

Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

To learn more about standard deviation click here

brainly.com/question/29088233

#SPJ4

Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

Answer:

43690

Step-by-step explanation:

hope u understand it

Answer:

The equivalent function of \(sin\left(180^{\circ }+x\right)\) will be: \(-\sin \left(x\right)\)

i.e.

\(\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)\)

Step-by-step explanation:

Considering the function

\(sin\left(180^{\circ }+x\right)\)

Solving

\(sin\left(180^{\circ }+x\right)\)

Using the angle sum identity:

\(\sin \left(s+t\right)=\sin \left(s\right)\cos \left(t\right)+\cos \left(s\right)\sin \left(t\right)\)

\(=\sin \left(180^{\circ \:}\right)\cos \left(x\right)+\cos \left(180^{\circ \:}\right)\sin \left(x\right)\)

as

\(\cos \left(180^{\circ \:}\right)=\left(-1\right)\)

\(\sin \left(180^{\circ \:}\right)=0\)

so

\(=0\cdot \:\cos \:\left(x\right)+\left(-1\right)\cdot \:\sin \:\left(x\right)\)

\(=0\cdot \cos \left(x\right)-1\cdot \sin \left(x\right)\)

\(=0-1\cdot \sin \left(x\right)\)

\(=0-\sin \left(x\right)\)

\(=-\sin \left(x\right)\)

So, the equivalent function of \(sin\left(180^{\circ }+x\right)\) will be: \(-\sin \left(x\right)\)

Therefore:

\(\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)\)

Please Give me Brainliest, Thank You

To determine how long it will take Mary Corens to repay her student loan, we can divide the total loan amount of $15,000 by the annual repayment amount of $1,800. The result will give us the number of years it will take her to repay the loan.

it will take Mary approximately 8 years to repay the loan.

By dividing the total loan amount of $15,000 by the annual repayment amount of $1,800, we can calculate the number of years needed to repay the loan.

Loan amount: $15,000

Annual repayment: $1,800

Number of years = Loan amount / Annual repayment

Number of years = $15,000 / $1,800

Number of years ≈ 8.33

Since we are asked to round the answer to the nearest whole number, Mary will take approximately 8 years to repay the loan.

It's important to note that this calculation assumes a constant annual repayment amount of $1,800 throughout the entire loan repayment period. In reality, factors such as interest accrual and varying repayment schedules may affect the actual time it takes to fully repay the loan. Additionally, any changes to the annual repayment amount would also impact the duration of the loan repayment.

Learn more about nearest whole number here:

brainly.com/question/29259091

#SPJ11

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

To know more about sample proportion here

https://brainly.com/question/29893420

#SPJ4

Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

to know more about the combination

https://brainly.com/question/9752548

Answer:

1800cm^3

Step-by-step explanation:

l=10cm

w=10cm

h=18cm

V=l.w.h

V=10cmx10cmx18cm

V=100cm^2x18cm

V=1800cm^3

Hope this helps. ❤❤❤

Answer:

600 cm³

Step-by-step explanation:

Volume of a square-based pyramid = a² × h/3

a = 10

h = 18

10² × 18/3

100 × 6

= 600

Answer:

Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.

one chocolate cake=?=x

one lemon cake=?=y

$270 spent

need to buy total of 18 cakes

1-chocolate cake =$7

lemon cake = $5

cakes 18=x+y

money $110=$7x+$5y

When i graphed it on the demos calculator i got (10,8).

So 10= the number of chocolate cake brought and 4= the number of lemon cake brought

James has $37.67 now after all his expenses

James had $x, his brother had $y, and his sister had $z when the morning began.

By using algebra,

James's sibling had twice as much money as James.

Now, x =y/2..... (i)

James had $27 fewer dollars than his sister did.

So, x = z - 27 ........ (ii)

⇒  {From equation (1)}

⇒ y/2 = z -27

⇒ y = 2z - 54

⇒ 2z - y =54 ..........(3)

Now, James and his sister each received $12 from his brother.

James now has $(x + 12), his brother now has $(y -24), and his sister now has $(z + 12).

Given that James' sister has twice as much money as James' brother after payoff,

So, z+12/2 = y-24

⇒ z + 12 = 2y - 48

⇒ 2y - z = 50 ......... (4)

The result of resolving equations (3) and (4) is

3y = 54 + 100 = 154

⇒ y =  51.33.

The result of equation (3) is now z = 52.67.

And from equation (1), x = 51.3/2= 25.67

So, now, James has (25.67 + 12) = $37.67

Hence, James has $37.67 now after all his expenses

To learn more about algebra click here:

brainly.com/question/24875240

#SPJ4

Answer:

\(|RS| = \sqrt[3]{19}\)

Step-by-step explanation:

The computation of the magnitude is shown below:

Data provided in the question

Given points

R(3,7,-1), S(10,-4,0)

Now the distance lies between R and S

RS = (10 ,-4, 0) - ( 3 ,7, -1 )

     = (10 - 3, -4 - 7, 0 - (- 1))

     = (7, - 11, 1 )

After that, the magnitude is determined by using the following calculation part

\(|RS| = \sqrt{(7)^2 + (-11)^2 + (1)^2} \\\\ = \sqrt{49 + 121 + 1} \\\\ = \sqrt{121}\\\\ = \sqrt[3]{19}\)

Answer:

The coordinates of the vertices are;

(200, 200), (300, 200), (300, 0), (0, 500)

Step-by-step explanation:

The vertices are the corners of a polygon. It is the point where an angle is formed by the intersection of two lines

The feasible region is the solution space of the points of the variables that meet the specification of the problem set by means of a constant or the definition of inequalities or equations

From the graph of the function of inequalities, we have that the four vertices are the four points where the lines bounding the area of the feasible region of the inequalities meet

The coordinates of the vertices are (200, 200), (300, 200), (300, 0), (0, 500).

1) Through any two points, there is exactly one line (postulate)

2) A line segment is a part of a line and is bounded by two endpoint. - (Definition)

3) If two lines intersect, then each pair of opposite angles are congruent. - (Theorem)

Postulates are statements that are assumed to be true without proof."

Definition; "It is used to give a precise meaning to a new term."

Theorem is a statement that can be proved to be true by accepted mathematical operations and arguments.

We need to classify the three statements as theorem, postulate and definition.

The first statement is; 'Through any two points, there is exactly one line.'

Here We know that this is the fundamental postulate use in Geometry.

The second statement is; 'A line segment is a part of a line and is bounded by two endpoint.'

This statement is the definition of line segment.

And The last statement is 'If two lines intersect, then each pair of opposite angles are congruent.'

We can prove above statement by using Euclid's axiom.

So, This statement is a theorem.

Therefore, 1) Through any two points, there is exactly one line.' - postulate.

2) A line segment is a part of a line and is bounded by two endpoint. - Definition.

3) If two lines intersect, then each pair of opposite angles are congruent. - Theorem.

Learn more about postulate, theorem and definition here:

brainly.com/question/2725475

#SPJ2

Answer:

i got banned and i got -7 pts i hope you understand

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf x = 20}\)

Step-by-step explanation:

80 + 8x = 20 + 11x

80 = 20 + 11x - 8x

80 = 20 + 3x

80 - 20 = 3x

60 = 3x

60/3 = x

20 = x

OR

\(\rule[225]{225}{2}\)

Answer:

\(\sf \: x = 20\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 80 + 8x = 20 + 11x

Then the value of x will be,

→ 80 + 8x = 20 + 11x

→ 8x - 11x = 20 - 80

→ -3x = -60

→ 3x = 60

→ x = 60 ÷ 3

→ [ x = 20 ]

Hence, the value of x is 20.

Using the Fixed-Point Iteration Method with an initial estimate of 2, the root of the function F(x) = ex - 2x - 5 is approximately x ≈ 1.7746. Using the Fixed-Point Iteration Method with an initial estimate of π, the real root of the equation 2cos(3√x) - sin(√x) = 1/4 is approximately x ≈ 3.1416, accurate to four significant figures.

To determine a root greater than zero of the function F(x) = ex - 2x - 5 using the Fixed-Point Iteration Method, we start with an initial estimate of x0 = 2 and iterate using the formula:

xn+1 = g(xn)

where g(x) is a function that transforms the original equation into a fixed-point equation, i.e., x = g(x).

1. Let's choose g(x) = ln(2x + 5), which is derived by rearranging the original equation.

2. Using the initial estimate x0 = 2, we can compute the iterations as follows:

x1 = g(x0) = ln(2(2) + 5) = 1.7917595

x2 = g(x1) = ln(2(1.7917595) + 5) = 1.7757471

x3 = g(x2) = ln(2(1.7757471) + 5) = 1.7746891

x4 = g(x3) = ln(2(1.7746891) + 5) = 1.7746328

After four iterations, we obtain an approximation of the root as x ≈ 1.7746, accurate to five decimal places.

To solve the equation 2cos(3√x) - sin(√x) = 1/4 using the Fixed-Point Iteration Method, we start with an initial estimate of x0 = π and aim to achieve an accuracy of four significant figures.

1. Let's rewrite the equation as a fixed-point equation by adding x to both sides:

x = g(x) = 4cos(3√x) - 4sin(√x) + x

2. Using the initial estimate x0 = π, we can compute the iterations as follows:

x1 = g(x0) = 4cos(3√π) - 4sin(√π) + π = 3.073315

x2 = g(x1) = 4cos(3√3.073315) - 4sin(√3.073315) + 3.073315 = 3.150428

x3 = g(x2) = 4cos(3√3.150428) - 4sin(√3.150428) + 3.150428 = 3.141804

x4 = g(x3) = 4cos(3√3.141804) - 4sin(√3.141804) + 3.141804 = 3.141593

After four iterations, we obtain an approximation of the real root as x ≈ 3.1416, accurate to four significant figures.

To know more about Fixed-Point Iteration Method refer here:

https://brainly.com/question/30883485#

#SPJ11

The MCAT scores variable can predict some of the variation in the response variable.

The logistic regression model is a type of regression analysis that is widely used in various fields. A logistic model can be fitted using the glm() function in R. Now fit a logistic model with a single explanatory variable, MCAT scores.In logistic regression, the null deviance is the deviance for a model that has only the intercept. The null deviance will always be equal to the residual deviance if the model has only the intercept.The null deviance is calculated based on the difference between the saturated and null models' likelihoods. It is the amount of variation in the response variable that cannot be explained by the model when no predictor variables are used. When the single predictor variable MCAT scores is added to the null model, it reduces the null deviance by 11.59. This is significant because it indicates that the MCAT scores variable can predict some of the variation in the response variable.

Learn more about Predict

brainly.com/question/3623767

#SPJ11

It is false that the probability of the union of two events can be more than the probability of the intersection of the two events occurring.

This is because when two events intersect, the intersection of the two events refers to the occurrence of both events at the same time, while the union of the two events refers to the occurrence of either event or both events at the same time. therefore, the union of two events can have a higher probability of occurring than the intersection of two events since the union includes the possibility of both events occurring, while the intersection does not.

For example, let us consider two events, A and B. Event A has a probability of 0.3, and event B has a probability of 0.4. The probability of the intersection of these two events is 0.12(0.3 X 0.4) while the probability of the union of these two events is 0.7(0.3+0.4-0.12). As seen in this example, the probability of the union of two events (0.7) is greater than the probability of the interaction of two events(0.12)

To know more about   probability refer to the  link  brainly.com/question/29381779

#SPJ4

Answer:

- \(\frac{8}{27}\)

Step-by-step explanation:

Find the denominator first

\(\frac{-2}{3}\) x \(\frac{-9}{2}\) = \(\frac{18}{6}\) = 3

\(\frac{-8}{9}\) ÷\(\frac{3}{1}\) = \(\frac{-8}{9}\) x \(\frac{1}{3}\) = \(\frac{-8}{27}\)

Answer:

y-intercept is 3 and x-intercept is -3/7

Step-by-step explanation:

to find the y-intercept let x = 0 and solve for y.

y=7(0) +3

y=0+3

y=3

to find the x-intercept let y = 0 and solve for x

0 = 7x + 3

-3 = 7x

-3/7 =x