1. If a triangle of area 95 square units has a height of length 19 units, calculate
the base of the triangle.

The calculated expression that represents the distance between point j and point k is |j - k|

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

Point j and point k

The expression that represents the distance between point j and point k is the absolute difference of the points j and k

Using the above as a guide, we have the following:

Distance = |point j - point k|

So, we have

Distance = |j - k|

Hence, the expression that represents the distance between point j and point k is |j - k|

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The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).

The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.

P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .

Ratio of line = 3:2

m and n represents the ratios 3:2

let the coordinates of p(x, y).

using Section formula

= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]

= (15/ 4, 14/4)

= (3.75, 3.5)

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Answer:

y = 10

Step-by-step explanation:

calculate the slope m of the 2 points using the slope formula and equate to the given slope.

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 6 ) and (x₂, y₂ ) = (10, y )

m = \(\frac{y-6}{10-5}\) = \(\frac{y-6}{5}\)

equate this expression for m to the given m of \(\frac{4}{5}\)

\(\frac{y-6}{5}\) = \(\frac{4}{5}\) ( cross- multiply )

5(y - 6) = 20 ( divide both sides by 5 )

y - 6 = 4 ( add 6 to both sides )

y = 10

Answer:

(-3 ÷ 4)x^2 + 6x

Step-by-step explanation:

Data provided in the question

Maximum height = 12m

Number of seconds = 8

Height = 3m

Based on the above information, the quadratic equation is as follows

Since it took 8 seconds for reaching the maximum height and then it returned to the ground level so here the highest point is done after 4 seconds also this graph represents the motion in parabola so the a should be negative

Now it is mentioned that

a × x ^ 2 + bx + c =0

We can assume that

x = 0

x = 8

As these {0.8} are intercepts of x

When x = 0, then it would be

a × 0 ^ 2 + b(0)  + c = 0 .................... (i)

Therefore 0 = 0

Now x = 8, it would be

a × 8 ^ 2 + b(8)  + c = 0

Therefore a(8)^2 + b(8) + c =  0 ..................(ii)

As we can see  that in the first equation c should be zero

While the second equation would be

64a + 8b = 0

i.e.

8a = -b or a = -b ÷ 8

Now as per the quadratic function, it appears

(-b ÷8)x^2 + bx + 0

Now the parabola vertex is (4, 12)

Now put this in the place of a

(-b ÷ 8)(4)^2 + b(4) = 12

Now for solving this b, all terms should be multiplied by 8

That comes

-b(16) + 32b = 96

16b = 96

So, b = 6.  

As a = -b ÷8

a = -6 ÷ 8

a = -3 ÷4

Now the equation is

= (-3 ÷ 4)x^2 + 6x

Hence, this is the equation

Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

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The difference between the distance travelled by any point on the record and it's label is; 27.57cm.

According to the task content, it follows from observation that the quantity required is the difference between the circumference in each case and can be evaluated as follows;

Difference = π(17.78 - 9)

Difference = (22/7) × 8.78

Difference = 27.57cm.

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It will take approximately 2020.79 years for 70 grams of the radioactive element to remain 27.

The half-life of a radioactive element is the duration during which half of the initial quantity decays. Therefore, we can write:

\(t_{1/2} =0.693/k\)

k is the decay constant

\(t_{1/2}\) = half life

plugging in the values

1470 = 0.693 / k

k = 0.693 / 1470

k = 0.0004714

\(y = y_{0}e(-kt)\)

where

y0 is the first amount,

y is the remnant after time

t has passed

plugging in the values

\(27 = 70e^{-0.0004714t}\)

\(\frac{27}{70} = e^{-0.0004714t}\)

taking the natural logarithm of both sides we obtain:

\(In\frac{27}{70} = In (e^{-0.0004714t})\)

\(In\frac{27}{70} = -0.0004714t\)

Solving for t, yields:

\((In\frac{27}{70})/( -0.0004714) = t\)

Using a calculator, it can be determined that:

t = -0.9526 / -0.0004714

t ≈ 2020.79 years

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Given that three factors are given and the surface area is required, this means that we are dealing with a three-dimensional shape. Where the above is a rectangular prism, the surface area = 118 In².

Surface area is the measure of the total area that the surface of a three-dimensional object occupies.

To calculate the surface area of an object, you need to add up the areas of all its faces. The formula for finding the surface area of a rectangular prism, which has three pairs of congruent rectangular faces, is:

Surface area = 2(lw + lh + wh)

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

So, if we have a rectangular prism with the following dimensions:

Length (l) = 3.5 inches

Width (w) = 4 inches

Height (h) = 6 inches

The surface area can be calculated as follows:

Surface area = 2(lw + lh + wh)

= 2(3.5 x 4 + 3.5 x 6 + 4 x 6)

= 2(14 + 21 + 24)

= 2(59)

= 118In²

Therefore, the surface area of this rectangular prism is 118 In².

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Full Question:

Although part of your question is missing, you may be referring to this full question:

Given a rectangular prism with the following dimensions:
3.5 in.

4 in.

6 in.

What is surface area?

Answer:

3(x+7)=57

Step-by-step explanation:

3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.

-hope it helps

Equivalent expressions are expressions that have the same values.

The expression is \(3(x + 7) = 57\) and the number is 12

Represent the number with x.

So, the sum of a number (x) and 7 would be represented as: x + 7

Three times the sum would be represented as: 3(x + 7)

This expression is equivalent to 57.

So, we have:

\(3(x + 7) = 57\)

Divide both sides of the equation by 57

\(x + 7 = 19\)

Subtract 7 from both sides of the equation

\(x + 7 - 7 = 19 - 7\)

\(x = 12\)

Hence, the number is 12

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Answer:

Step-by-step explanation:

Answer:

mark the answer below as brainliest x

Step-by-step explanation:

sin 3 x = sin ( 3 x + 2 π ) = sin [ 3 ( x + 2 π/ 3 ) ] = sin 3 x

This means "after the arc rotating three time of ( x + ( 2  π /3 ) ) , sin 3x comes back to its initial value"

So, the period of sin 3x is 2 π /3 .

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:26 2/3 feet

Step-by-step explanation:40/30 = 4/3

(26 2/3) / 20= 4/3

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

The solution to the indicated operation will be 9 and 2/3.

We have to find the sum of 2 and 1/6 and 7 and 3/6.

We can write the mixed fractions as:-

2 and 1/6 = 13/6

7 and 3/6 = 45/6

Adding the improper fractions, we get,

(13+45)/6 = 58/6 = 29/3

We can this improper fraction write it as :-

9 and 2/3

Mixed fraction

It is a form of a fraction which is defined as the ones having a fraction and a whole number.

2 and (1/7), where 2 is a whole number and 1/7 is a fraction.

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2 hour and 52 minute

Step-by-step explanation:

Sana makatulong ito sa inyo

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Answer:

5

8

20

Step-by-step explanation:

Answer:

Base: 6 units. Height: 4 units. Area: 24 units.

Step-by-step explanation:

To find the base of the parallelogram, it is literally the bottom line of the parallelogram. In this case, it is the line below the x-axis that is also parallel to it. To find the length of the base line, just count the squares between both ends of the line. There are 6 squares, so the base is 6 units long. To find the height of the parallelogram, you count the squares (units) between the bottom and top lines of the parallelogram, both parallel to the x-axis. There are 4 squares between the lines, so the height of the parallelogram is 4 units. To find the area of a parallelogram, multiply the base by the height. 6 * 4 = 24, so the area of the parallelogram is 24 units.

y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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Step-by-step explanation:

The formula:

�

�

=

�

2

(

�

1

+

�

�

)

S

n

=

2

n

(a

1

+a

n

)

is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.

Example:

3, 6, 9, 12, 15,...,123

The first term, a₁ = 3

The last term an = 123

Common difference, d = 3 (because the sequence are multiples of 3)

Number of terms, n= ?

Find the number of terms, n:

an = a₁ + (n-1) (d)

123 = 3 + (n-1) (3)

123 = 3 - 3 + 3n

123/3 = 3n/3

n = 41

To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:

S₄₁ = (41/2) (3 + 123)

S₄₁ = (41/2) (126)

S₄₁ = (41)(63)

S₄₁ = 2,583 ⇒ the sum of the given sequence

Answer:

s = 1

Step-by-step explanation:

7 = -10s - 3

=> 7 + 3 = 10s

=> 10 = 10s

=> 10/10 = s

=> 1 = s

Answer: s= -1

Step-by-step explanation:

Answer:

1) (2, 1)

2) (2, -2)

3) (-1, -1)

4) (-5, -5)

Answer:

1. Pairs A(2, 5), B(6, 5), and C(6, 1)

missing coordinate is (2,1)

2. Pairs A(2, 3), B(7, 3), and C(7, -2)

missing coordinate is (2,-2)

3. Pairs A(-5, -1), B(1, -1), and C(1, -5)

missing coordinate is (-5,-5)

4. Pairs A(-1, 4), B(7, 4), and C(7, -1)

missing coordinate is (-1,-1)

Hope this is correct!! Have a nice day!!<3