If, in ΔABC, m∠A is 90º, which statement is true?
A. AB ⊥ BC
B. AB ⊥ AC
C. m∠ABC = m∠ACB
D. m∠ABC = 45º

Answer:

3/90

Step-by-step explanation:

1 slot  is 1/30

2 slot is 1/30

3 slot is 1/30

this gives you that 3/90 when you had them

Answer:

D)  1/(30×30×30) = 1/27000 = 0.00003 or 0.003%

Step-by-step explanation:

Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (3 x 3) + (1/2 x (3*4) x 5)

= 9 + 30

= 39 km²

The shape is a : quadrilateral, rhombus and parallelogram(CED)

A polygon is a plane geometrical shape with at least three straight sides and angles.

Analysis:

The polygon is a quadrilateral since it has four sides and angles.

It is a rhombus since all the sides are equal.

It is a parallelogram since opposite sides are parallel and the opposite angles are equal.

In conclusion, the names of the given polygon are quadrilateral, rhombus and parallelogram(CED).

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Given:

x + y ≤ 2 (Equation 1)

x ≥ 1 (Equation 2)

Step 1: Let's first determine the points (at leat 2) that past through the graph.

For x + y ≤ 2,

At x = 0,

0 + y = 2

y = 2

Point 1 : 0, 2

At y = 0,

x + 0 = 2

x = 2

Point 2 : 2, 0

For x ≥ 1 ,

This is a vertical line graph.

At x = 1

Point 1 : 1, 0

Step 2: Let's now plot the graph.

Take note on graphing:

< or > dashed line

≤ or ≥ solid line

> or ≥ shaded at top

< or ≤ shaded at bottom

We get,

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Answer:

good luck !!

Step-by-step explanation:

Answer:

Good luck

Step-by-step explanation:

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

Vertex (-3, -3)

Step-by-step explanation:

Highest or lowest point lying on the graph of a parabola is said to be the Vertex of a parabola.

By this definition, point P (lowest point) is the vertex of the given parabola.

Coordinates of the Vertex are (-3, -3).

Therefore, Vertex (-3, -3) is the answer.

Answer:

i graphed it for you in a calculator

Answer:

Step-by-step explanation:

-3≤ x = graph 6

-3 > x = graph 3

x≥ 3 = graph 2

x ≤ 3 = graph 4

3 > x = graph 1

x > 3 = graph 5

the closed circles means greater/less than or equal to

the open circle means greater/less than

the direction of the arrow tells you if the number is greater than x or less than x

Answer:

t should also be 82

Step-by-step explanation:

Because they are the same angle.

Sorry in the chance i am wrong. :D

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer:

probably that

Step-by-step explanation:

2000 - 612 = 1390 (to exceed, he needs at least one more)

c >= 1391

Answer:

proportional

Step-by-step explanation:

Answer:

y = w/4x+1

Step-by-step explanation:

To solve for y in 4xy + y = w, we first factor out y from the left side of the equation:

y(4x + 1) = w

Then, we isolate y by dividing both sides of the equation by (4x + 1):

y = w / (4x + 1)

Therefore, the solution for y is:

y = w / (4x + 1)

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Reflexive: No, two countries cannot have the same national language ,Symmetric: Yes, if one country has a common national language with another then the other must have a common national language with the former

a. The relationship between countries that "have a shared national language with"

Reflexive: No, two countries cannot have the same national language

Symmetric: Yes, if one country has a common national language with another then the other must have a common national language with the former

Antisymmetric: No, there can be multiple countries that share a common national language

Transitive: Yes, if Country A has a common national language with Country B and Country B has a common national language with Country C, then Country A has a common national language with Country C.

b. The relationship between individuals with computer science bachelor's degrees:

Reflexive: Yes, a person can have a bachelor's degree in computer science

Symmetric: Yes, if one person has a bachelor's degree in computer science, then the other must also have a bachelor's degree in computer science

Antisymmetric: Yes, if two people have a bachelor's degree in computer science then they are the same person

Transitive: No, a person who has a bachelor's degree in computer science does not necessarily have a bachelor's degree in any other subject.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

  x = 10

Step-by-step explanation:

You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.

The angle bisector divides the sides of the triangle proportionally;

  3x/40 = (x +2)/16

  6x = 5x +10 . . . . . . . multiply by 80

  x = 10 . . . . . . . . . subtract 5x

The value of x is 10.

<95141404393>

Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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Answer:

x = 12

Step-by-step explanation:

3(x + 15) = 36 + 45  Distribute the 3 and combine like terms

3x + 45 = 81  Subtract 45 from both sides

3x  = 36  Divide by 3

x = 12

Helping in the name of Jesus.

Answer:

3(12+15)=36+45

Step-by-step explanation:

3(x + 15) = 36 + 45

3x + 45 = 81

3x  = 36

x = 12

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Hey there!

When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.

If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.

0.6t=48

We divide both sides by 0.6.

t=80

Therefore, there are 80 total kids at the school.

We can also check our answer below.

BOYS: 0.6(80)= 48

GIRLS: 0.4(80)=32

48+32=80

I hope that this helps!

Answer: 60 , 60 , 61

Step-by-step explanation:

The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.

Let us first define the hypothesis in this problem;

Null Hypothesis; H₀: μ_d = 0

Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)

The degree of freedom is;

DF = n - 1

DF = 6 - 1

DF = 5

At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.

Using a computer software, we can calculate the mean from the attached table as;

D' = ∑d/n

D' = 100/6 = 16.7

Similarly, the standard deviation is calculated from the formula;

S_d = √(n∑d² - (∑d)²)/(n(n - 1))

s_d = √(6.489 - 100²)/(6(6 - 1))

s_d = 25.4

The test statistic is gotten from the formula;

t = (D' - μ_d)/(s_d/√n)

t = (16.7 - 0)/(25.4/√6)

t = 1.610

This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

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