Find the surface area of the prism. Smu 60 24 ***** 7 na 10 m Not drawn to scale Ob ос Od 310 m2 175 m2 44 m2 700 m2

Answer:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

On studing about the nature of system of linear equation the correct option is B.

How to determine the nature of system of linear equations of two variables?

Consider the following two linear equations:

\(a_1x + b_1y + c_1 = 0a_2x + b_2y + c_2 = 0\)

(1) If  \(\frac{a_1}{a_2}\ne \frac{b_1}{b_2}\) them the system of equations have unique solution.

(2) If  \(\frac{a_1}{a_2}= \frac{b_1}{b_2}=\frac{c_1}{c_2}\) them the system of equations have infinitely many solutions.

(3) If  \(\frac{a_1}{a_2}= \frac{b_1}{b_2}\ne \frac{c_1}{c_2}\) them the system of equations have no solution.

Now, consider the given equation.

2x+3y = -17

y = x - 4

Rearrange the above equation as follows:

2x+3y +17 = 0

x - y - 4 = 0

Now, on comparing,

\(a_1=2, a_2=1, b_1=3, b_2=-1, c_1=17, c_2=-4\)

Now, take ratio as follows:

\(\frac{a_1}{a_2}=\frac{2}{1}\\\frac{b_1}{b_2}=\frac{3}{-1}\\\frac{c_1}{c_2}=\frac{17}{-4}\)

It satisfies the first condition hence, there is one solution for the system of equations.

Hence, the correct option is B.

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The number of volumes of the encyclopedia on the bottom shelf is given as follows:

H) 19.

The number of volumes of the encyclopedia on the bottom shelf obtained as the subtraction between the highest number and the lowest number identifying the numbers, adding one.

We add one as the amount of numbers between n and n + 1, inclusive, is of n + 2. For example, between 12 and 13, we have two numbers.

Then the number of volumes of the encyclopedia on the bottom shelf is given as follows:7

30 - 12 + 1 = 19.

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Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

The expression |-4| has a value of 4 when evaluated

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

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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Answer:

C=31.4mm

Step-by-step explanation:

Circumfrence formula: π*diameter

diameter =10mm (picture)

C=10mm*3.14

C=31.4 mm

Answer:

31.42

Step-by-step explanation:

use the formula C=2πr

Answer:

if 28 cm is the radius then:

area = 2461.76 cm²

if 28 cm is the diameter then:

area = 615.44 cm²

Step-by-step explanation:

area = πr² = (3.14)(28²) = 2461.76 cm²

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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The missing side of the triangle given the angle as 71° and hypotenuse as 17 to the nearest tenth is 16.1.

The correct answer choice is option C

Hypotenuse= 17

Opposite = x

Angle = 71°

Sin 71° = opposite / hypotenuse

sin 71° = x / 17

0.95105 = x / 17

cross product

0.95105 × 17 = x

x = 16.1 to the nearest tenth

In conclusion, the missing side of the triangle to the nearest tenth is 16.1

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Answer: The missing values in the ratio table will be 0.666 and 5.33 inches.

Step-by-step explanation:

As the ratio of the terms is equal. The value of x and y is ,

2/3 = x/1

x=2/3

x=0.66 inches

In order to obtain y,

2/3 = y/8

y=2×8/3

y=16/3

y=5.33 inches.

Let us assume that the number is X

According to the statement:

2✓x = 12

Divide both sides by 2;

✓2 = 6

Square both sides,

x² = 6²

X = 36

Hence the required number is 36.

If tan Ф = 15/8 then we have these trigonometric functions cosec Ф = 17/15, sec Ф = 17/8 and cot Ф = 8/15.

According to the question,

We have the following information:

Tan Ф = 15/8

We know that in this trigonometric function we have perpendicular divided by base.

Now, we can find the hypotenuse using the Pythagoras theorem:

Let's denote hypotenuse with h, perpendicular with p and base with b.

\(h^{2} =p^{2} +b^{2}\)

\(h^{2}\) = \((15)^{2} +(8)^{2}\)

\(h^{2} = 225+64\\h^{2} = 289\\h = \sqrt{289}\)

h = 17 units

Now, we have the following values:

Cosec Ф = 17/15 (Hypotenuse/perpendicular)

Sec Ф = 17/8 (h/b)

Cos Ф = 8/17 (b/h)

Cot Ф = 8/15 (b/p)

Hence, the correct options are A, B and D.

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To answer this question, we need to pose the problem algebraically as follows:

1. The sum of two numbers is -29:

2. The difference of the two numbers is -13:

Then, we have a linear system of equations, and we can solve it by elimination, substitution, as the most suitable for this case. Then, we have that we can sum both equations and we get:

Thus, we have that the value for x = -21. We can use the first equation to substitute this value of x to find the value for y. Then, we have:

Therefore, the two numbers are -21 and -8.

We can check this as follows:

1. -21 + (-8)= -21 -8 = -29

2.-21 -(-8) = -21 + 8 = -13

Answer: 4

Step-by-step explanation:

Let the consecutive integers be x, x+1 and x+2.

There are three consecutive integers such that twice the sum of the smallest and the largest is eight more than twice the largest. This means that:

2(x + x+2) = 2(x+2) + 8

2(2x + 2) = 2x + 4 + 8

4x + 4 = 2x + 12

Collect like terms

4x - 2x = 12 - 4

2x = 8

x = 8/2

x = 4

The smallest integer in the sequence is 4

Answer:

y = -2/3 x - 1

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

-5 = -2/3 × 6 + b

-5 = -4 + b

b = -1

y = -2/3 x - 1

Answer: it should be 946, maybe you worded Wong

Step-by-step explanation:

o obtain an estimate for the computation 348 + 598, we can round the two numbers to the nearest ten.

348 rounded to the nearest ten is 350

598 rounded to the nearest ten is 600

So, our estimate for the sum of 348 + 598 is 350 + 600 = 950

Using a calculator, the actual computation is 348 + 598 = 946

Our estimate of 950 is 4 more than the actual answer of 946. This means that our estimate is slightly higher than the actual answer. This is not a big difference and it is reasonable as the numbers are rounded to nearest 10.

Answer:

The answer is D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

its a or e

Answer:

A

Step-by-step explanation:

A is bicycles to skateboards which is 10:6

Step-by-step explanation:

ummm where is the pic? like bruh

Answer:

48 cm

Step-by-step explanation:

Multiply 4x2x6 and get the answer of 48 cm.

The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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By using the graph of g, the solution to g(3) is equal to 8.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;

g(3) = 8.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer:

equation 1or 2 divide

3x+y=7

2x+5y=22

or, equation 1 multiple 5

15x+5y=35

2x+5y=22

or,13x=13

therefore x=1 again

value of x put the y in equation 2

2.1 + 5y=22

5y=11

therefore y=11/5

Answer:

y=-5

Step-by-step explanation:

Equation of the line

Lines can be expressed in several forms. The slope-intercept form of the line is:

y = mx + b

Where m is the slope of the line and m is the y-intercept.

If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:

y = b

To find the value of b, just substitute the given point:

-5=b

The equation of the line is:

y=-5

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)

Answer:

es 29.5?

Step-by-step explanation: