4. Write two hundred seventy-six using each of the following: a. base-five numerals b. base-eight numerals c. base-two numêrals

The area of the shaded section is approximately equal to 219.711 square meters.

In this problem we find the case of a shaded section, whose area must be determined. This can be realized by finding the area of rhombus OPQR and subtract the circular section OPR from it. All missing lengths of the triangles from the rhombus can be found by trigonometric functions.

The formula to determine the area of the shaded area is:

A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²

RQ = OR · tan 70°

If we know that OR = 12 m, then the area of the shaded section is:

RQ = 12 · tan 70°

RQ = 32.970

A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²

A = OR · RQ - (7π / 18) · OR²

A = 12 · 32.970 - (7π / 18) · 12²

A ≈ 219.711 m²

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Answer:

The two triangles are related by   hypotenuse leg  

so the triangles are   congruent    

======================================================

Explanation:

The square markers indicate we have 90 degree angles. This means the two triangles are right triangles.

The tickmarks tell us which sides correspond and are the same length. The double tickmarked sides are the hypotenuses of each triangle. They are the same length because of the matching tickmarks. The same can be said about the legs marked with single tickmarks.

Based on those tickmarks, and the fact we have right triangles, we can use the hypotenuse leg theorem to prove the triangles are congruent.

The hypotenuse leg theorem only works for right triangles.

Since "hypotenuse leg" is used quite often in geometry, it is abbreviated to "HL".

The graph of the quadratic function y = x² + 2x - 5 is given by the image at the end of the answer.

The domain and range are given as follows:

The domain of a function is the set that contains all the possible input values for the function, hence in the graph it is composed by the values of x of the function.

The range of a function is the set that contains all the possible output values for the function, hence in the graph it is composed by the values of y of the function.

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The recursive formula of the geometric sequence is,

c(n)=-5c(n-1)

c(1)=-0.6

From the question, we have

the geometric sequence is,

-0.6, 3, -15, 75, ...

Common ratio, r = 3/(-0.6) = -5

The previous phrase, c(n-1), is multiplied by -5 to get the following term, c(n).

Therefore, the recursive formula for the sequence is:

c(n)=-5c(n-1)

c(1)=-0.6

Recursive Formula :

Arithmetic sequence recursive formula is another name for this formula. It is an arithmetic series, as you can see from the sequence itself, with the initial term coming after other terms, and the common difference, d, being the number you add to or subtract from each term. Geometric sequences with terms that have a common factor or common ratio between them can also have recursive functions built for them.

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The of the function a remainderre 3, 2,1,0

You should understand that substitution means replacing figures in a variable to get a value

the given function is

y=-x/3 +2

The given parameter or table to be completed is

x  -6    -3    0    3    6    

y   4      3    2    1     0  

The table above was completed in the following ways

1)  y= 6/3 +2 = 2+2 4

2) y = 3/3 + 2 = 1+2 = 3

3) 0/2 + 2 = 2

4)  -3/3 +2 = -1+2 = 1

5) y = -6/3+2 = -2+2 = 0

Therefore the table has values descending from 4 to 0

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Answer:

Solution,

or, 2x-4=24

or, 2x=24+4

or, 2x=28

or, 2×x=28

or, x=28÷2

or, x=14 (answer)

The solution of the equation is x = 14.

An equation is two algebraic expressions that have the same value and have the equal sign in between them.

We have the equation:

2x-4=24

Adding 4 to the both of side,

2x=24+4

2x=28

Divide by 2 on both side,

x=28÷2

x=14

Therefore, x = 14 is the solution of the equation.

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Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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Answer:

C.  9 m

Step-by-step explanation:

The Pythagorean theorem says

\(leg_{1} ^{2} + leg_{2} ^{2} = hyp^{2}\)

Let the third side, which is a leg, = x

\(12^{2} + x^{2} = 15^{2}\)

144 + \(x^{2}\) = 225

\(x^{2} = 81\\x = \sqrt{81} = 9\)

C.  9 m

The radius of the wading pool at the Salem Community Center can be calculated by dividing the circumference by 2π.

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this case, Brennan measured the circumference of the wading pool to be 6.28 meters.

To find the radius, we rearrange the formula as r = C / (2π). Substituting the given circumference value, we have r = 6.28 / (2π).

By dividing 6.28 by 2π, we can calculate the radius of the pool. The exact value will depend on the precision used for π (pi). If we use an approximation of π, such as 3.14, we can evaluate r as 6.28 / (2 * 3.14) = 1 meter.

Therefore, the radius of the wading pool at the Salem Community Center is approximately 1 meter.

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Answer: 18.96 km/h

Step-by-step explanation:

Gwen:

65 miles = 104.6 km

104.6 km / 2.5 h  =   41.84 km/h

Bryn:

15 min = 0.25 h

76 km / 1.25 h  =  60.8 km/h

Difference:

60.8 - 41.84 = 18.96 km/h

Hope this helps!

Answer:

Step-by-step explanation:

take 42 degree as reference angle

using sin rule

sin 42=opposite/hypotenuse

0.66=6.4/x

x=6.4/0.66

x=9.69

Answer:

-2r3t2 + 3rt – 16

Step-by-step explanation:

Like terms have the same variables with the same exponents on each variable. Add their coefficients, and keep the same variables and exponents.

The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.

A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.

Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.

A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.

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The amount that Bert should deposit to earn $192 interest is $4,000 (option C).

When an account earns a simple interest, the account increases linearly. It means that the value of the account increases at a constant rate.

The rate of increase is determined by the amount deposited, the interest rate and the number of years the money was deposited for.

Amount to be deposited = simple interest / (years x interest rate)

$192 / (0.016 x 3) $192 / 0.048 = $4,000

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The -1 part is not inside the natural log.

==============================================

Work Shown:

1 + 2*e^(x+1) = 9

2*e^(x+1) = 9-1

2*e^(x+1) = 8

e^(x+1) = 8/2

e^(x+1) = 4

x+1 = Ln(4)

x = Ln(4) - 1

Answer:

d. 18x^3-27x^2y

Step-by-step explanation:

(3x)^2(2x-3y)

work out the first term

9x^2(2x-3y)

distribute

18x^3-27x^2y

Answer:

(d.) \(18x^3-27x^2y\)

Step-by-step explanation:

When given the following equation,

\((3x)^2(2x-3y)\)

Systematically perform the operations. Use the order of operations, the order of operations states the following,

1. Parenthesis

2. Exponents/ radicals

3. Multiplication/ Division

4. Addition/ Subtraction

Remember, when performing an exponential operation, one multiplies the base by itself the number of times the exponent indicates. In the given equation, perform the exponent by multiplying the base (3x) by itself twice.

\((3x)^2(2x-3y)\\\\(3x)(3x)(2x-3y)\\\\(9x^2)(2x-3y)\)

Now distribute, multiply every term inside the parenthesis by the term outside of it

\((9x^2)(2x-3y)\\\\(9x^2)(2x) + (9x^2)(-3y)\\\)

Simplify,

\(18x^3-27x^2y\)

Therefore the solution is (d.) \(18x^3-27x^2y\)

Answer:

is that the whole problem?

Step-by-step explanation:

The measure of the mid - segment is 53 .

Given :

the measures of the bases of a trapezoid are 35 and 71.

What is trapezoid ?

A trapezoid is a four-sided shape which has one pair of sides as parallel. It is basically a two-dimensional shape or figure similar to a square etc .

Mid segment :

A mid segment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid.

A trapezoid mid segment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases.

Measure of mid segment = sum of two bases / 2

= 35 + 71 / 2

= 106 / 2

= 53

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SAS, ASA and SSA, AAS are postulates that helps us determine if two triangles are congruent.

SAS stands for Side-Angle-Side, ASA stands for Angle-Side-Angle, SSA stands for Side-Side-angle, AAS stands for Angle-Angle-Side.

Two figures are congruent if they are of the same shape and size.

The difference lies in which to use them, ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.

According to ASA congruence, two triangles are congruent if they have an equal side contained between corresponding equal angles.

The ASA rule states that if the vertices of two triangles are in one-to-one correspondence such that two angles and the side opposite to one of them in one triangle are equal to the corresponding angles and the non-included side of the second triangle, then th e triangles are congruent.

SAS rules states that two triangles are congruent, if two sides and an included angle of one triangle is equal top the two sides and an included angle of the other triangle, then the triangles are said to have SAS concurrency.

The SSA congruence rule states that if two sides and an angle not included between them are respectively equal to two sides and an angle of the other then the two triangles are equal.

AAS rule states that when two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

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Step-by-step explanation:

42(100+10+1)

= 4200 + 420 + 42

= 4,662

Answer:

42=7*3*2

111=37*3

so hence there are many ways we can use the 1, 10 and the hundred houses to execute the problem As my Friend said in the above solution we can take that

=42(100+10+1)

=4200+420+42

=Which Finally gives us 4262

Answer: BMI: 15.82 (CAN I GET BRAINEST POINT PLSSSS)

Step-by-step explanation: Body Mass Index is a simple calculation using a person's height and weight. The formula is BMI = kg/m2 where kg is a person's weight in kilograms and m2 is their height in metres squared. A BMI of 25.0 or more is overweight, while the healthy range is 18.5 to 24.9.

Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

Answer:

Dividing by a fraction is the same as multiplying with the opposite of the fraction. 8/9 / 3/4=8/9×4/3=32/27=1 5/27.

Step-by-step explanation:

Answer:

C. y=2x-48

Step-by-step explanation:

A. y=48x−2

B. y=48x+2

C. y=2x−48

D. y=2x+48

Profit per hotdog=$2

Quantity=x

Cost of hotdog, buns and mustard=$48

Find the equation profit earned by the hotdog stand for x hot dog sold

Total Profit(y)=(units profits*quantity)-cost

=$2*x-$48

y=2x-48

Answer:

C. y=2x−48

Step-by-step explanation:

did it on edge 2020

Answer:

x = (2.5, 0)     y = (0, 5)

Step-by-step explanation:

Answer:

m<1 = 140

Step-by-step explanation:

m<1 = 140 because of alternate interior angles

Answer

Rate of canoe in calm water is 7 mph

Step-by-step explanation:

Let y be the rate of the canoe in calm water

Let z represent the rate of current

Traveling with the current, the canoe went 30miles in 3 hours

The total speed of the current and canoe will be (y + z) mph

Recall that,

speed = distance / time

Distance = speed x time

Distance = 30 miles

time = 3 hours

30 = 3( y + z)

divide through by 3

30/3 = 3/3 (y + z)

10 = y + z -------------------- equation 1

Against the current, the canoe went 12 miles in 3 hours

Let the speed = (y - z) mph

Distance = speed x time

12 = 3(y - z)

Divide through by = 3

4 = y - z ------------- equation 2

The two-equation can be solved simultaneously

y + z = 10 --------------- equation 1

y - z = 4 -------------- equation 2

Eliminate z by adding the two equations equation together

(y + y) + (z - z) = 10 + 4

2y + 0 = 14

2y = 14

y = 14/2

y = 7 mph

To find z, put y in equation 1

y + z = 10

z = 10 - y

z = 10 - 7

z = 3 mph

Hence, the rate of canoe in calm water is 7mph

Answer: y = 45

Step-by-step explanation:

225/5 = 45

45·5 = 45

Answer:

invitations = 4

napkins = 2

Step-by-step explanation: