2.)
Find the perimeter of an isosceles triangle whose base is 16 cm and whose height is 15 cm.

Answer:

C+7d

5+7(8)

5+56=61

Step-by-step explanation:

Answer: 61

Step-by-step explanation:

This is an algebraic equation. You need to replace the variables with their values.

Step 1: Given c=5 and d=8.

5 + 7*8

Step 2: Solve the equation. Following the rules of PEMDAS, first multiply the 7 times the 8. Then, add 5 to that.

7 * 8 = 56

5 + 56 = 61

Answer:

8) x = 3

9) x = 10

Step-by-step explanation:

8) 45° ≅ 15x, therefore, the equation would look like: \(45 = 15x\)

☆Let's solve it!

\( \frac{45}{15} = \frac{15x}{15} \\ 3 = x\)

9) 12x - 10 is supplementary to 8x - 10. So the equation would be: \(12 x- 10 + 8x - 10 = 180\)

☆Let's solve it!

\(12x - 10 + 8x - 10 = 180 \\ 20x - 20 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 20 = + 20}{ \frac{20x}{20} = \frac{200}{20} } \\ x = 10\)

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

Step-by-step explanation:

Solve 19+ 6w = 67

W =?

19 + 6w = 67

6w = 67 - 19

6w = 48

w = 48 : 6

w = 8

----------------------------

check

19 + 6 x 8 = 67

19 + 48 = 67

67 = 67

the answer is good

Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}\)

⸻⸻⸻⸻\(\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}\)

⸻⸻⸻⸻

\(\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}\)

⸻⸻⸻⸻

\(\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}\)

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Hey there! :)

Answer:

The first option:

Y-intercept: 9

Zeros: 1, -1, 3, -3

Step-by-step explanation:

The Y-intercept is where the graph intersects with the y-axis. On this graph, we can see that the graph intersects at y = 9.

The zeros of the graph are where the graph intersects the x-axis. When looking at the graph, the x-axis is intersected at x = -3, x = -1, x = 1, and x = 3.

Therefore, A, or the first option, is the correct answer.

Answer:

y : 9

Step-by-step explanation:

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Answer: 1. 55 ft   2. 10 ft. 3.3 in.

Step-by-step explanation:

For question 9, you need to understand that the angle on the left is equal to the one on the right from the mirror priniciple. Now let's say the height of the dinosaur is x ft. We would get the equation 5.5/4 = x/40 and we get that x is 55, thus the height of the dinosaur is 55 ft

For question 10, we use the same similarity principle as we use in question 9 so given that the height of the light pole is h in. we get the equation

h/185 = 62/93

So, h is 123.33(I used a calculator, hope that's fine). Thus the height of the light pole would be 123.33 in. or 10 ft. 3.3 in.

Hope this helps!!!!

Answer:

Its B

Step-by-step explanation:

you have to subtract 320-70 to get 250. If you didn't you be able to divide 5 cleanly

Probabilistic data refers to data that involves uncertain or random events.

it is typically analyzed using probability theory or statistical methods. Examples of probabilistic data include the outcomes of a coin toss, the probability of a person having a certain genetic trait, or the likelihood of an event occurring given certain conditions. The formula P(A) x P(B) = P(A and B) is a probability formula that applies to probability theory and statistics, which deal with random events and their likelihoods. Therefore, it is related to probabilistic data

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Answer:

y = 2.9

Step-by-step explanation:

Horizontal lines have the same y-values for any x-value, so if the line passes through the point (-7.8, 2.9) it must have the same y-value of 2.9 for every other x-value, hence y = 2.9

Given:

The points are A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2).

To find:

The length of EF and plot each point on a coordinate plane and connect them.

Solution:

Plot the given point A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2) on coordinate plane and connect them as shown in the below figure.

From the below graph it is clear that the length of EF is 2 units. We can verify this solution by using the distance formula.

Distance formula:

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using the distance formula, the distance between E(-4 ,6) and F(-2, 6) is

\(D=\sqrt{(-2-(-4))^2+(6-6)^2}\)

\(D=\sqrt{(-2+4)^2+(0)^2}\)

\(D=\sqrt{(2)^2+0}\)

\(D=2\)

Therefore, the length of EF is 2 units.

Answer:

y = -6x - 10

Step-by-step explanation:

(-2, 2), m = -6

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = -6(x + 2)

y - 2 = -6x - 12

y = -6x - 10

Answer:

125.00

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

77 - 70

|70|

× 100% =

7

70

× 100 = 10% (increase)

Where: 70 is the old value and 77 is the new value. In this case we have a positive change (increase) of 10 percent because the new value is greater than the old value.

When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person

The ratio of two measures, with one as the second of the item, is known as unit rate.

For the problem where Alonzo have to split 3/4 pounds of candy, the  unit rate is solved by division.

In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate

The unit rate of candy in pounds per person

= 3/4 pounds / 4 persons

= 3/16 pounds per person

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Answer:

10000

Step-by-step explanation:

The answer would be 10000. You always use the digit to the right of the place you want to round to help you determine whether to round up or down. But notice you said "round the thousand", but you are actually rounding the ten thousand, by looking at the thousand.

Answer:

The number that rounds to 10,000 when rounded to the nearest ten thousand and to 6,000 when rounded to the nearest thousand is 7,500.

When 7,500 is rounded to the nearest ten thousand, the result is 10,000 because the ten thousand digit is 1 and the rounding digit (the thousands digit) is 5, which is greater than or equal to 5.

When 7,500 is rounded to the nearest thousand, the result is 6,000 because the rounding digit (the hundreds digit) is 5, which rounds up the tens digit to 0 and changes the thousands digit to 6.

Ball and a bat costs for $1.10,if the bat costs $1 more than the ball, The cost of the ball is $0.05

Bats and the balls used in the cricket sport. They are available in sizes from zero to six, including harrow, long and short handles. Here the total cost of bat and ball is given. we consider x and y are the costs of the bat and the ball. And the bat cost is given $1 more than the cost of the ball. So by addition and subtraction of given conditions we got to calculate the cost of the  bat and the cost of the ball.

Let x be the cost of bat and y be the cost of ball

x + y = $1.10

If the bat costs $1 more than the ball,

x=y+$1

y+$1+y = $1.10

2y = $0.10

y = $0.05

x + y = $1.10

x + $0.05 = $1.10

x=$1.05

The cost of the ball is $0.05

The cost of the bat is $1.05

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Answer:

circumference = π2r = (3.14)(2)(21) = 131.88 miles

Step-by-step explanation:

Answer:

131.9

Step-by-step explanation:

\(3.14 \times 21 \times 2\)

Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Correct answer is option (c).

To determine which set of numbers could represent the three sides of a right triangle, we can use the Pythagorean theorem:

a. {13, 48, 50}:

Using the Pythagorean theorem: 13² + 48² = 169 + 2304 = 2473 ≠ 50²

Therefore, this set of numbers does not represent the sides of a right triangle.

b. {49, 55, 73}:

Using the Pythagorean theorem: 49² + 55² = 2401 + 3025 = 5426 ≠ 73²

Therefore, this set of numbers does not represent the sides of a right triangle.

c. {16, 63, 65}:

Using the Pythagorean theorem: 16² + 63² = 256 + 3969 = 4225 = 65^²

Therefore, this set of numbers represents the sides of a right triangle.

d. {20, 72, 75}:

Using the Pythagorean theorem: 20² + 72² = 400 + 5184 = 5584 ≠ 75²

Therefore, this set of numbers does not represent the sides of a right triangle.

Based on the Pythagorean theorem, the set of numbers {16, 63, 65} represents the sides of a right triangle.

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Answer:

That is correct, The answer IS 5. Good job

Step-by-step explanation:

I know how A.P.E.X can be confusing, but keep trying!

I believe the answer is 5 because that has to add up to 30 because it is a triangle.

PLEASE MARK BRAINLIEST

Answer:

its 90 degrees

Step-by-step explanation:

When 35073 seconds is rounded to three significant figures, the answer value is 35,100 seconds.

In scientific notation, this can be expressed as 3.51 x 10^4 seconds.

Round to three significant figures means that we consider the three most significant digits of the number and adjust the value based on the digit in the fourth position.

In this case, the fourth digit is 7, which is greater than or equal to 5. As a result, we round up the third significant digit, which is 5, to the next higher number.

Therefore, the final rounded value of 35,100 seconds is obtained.

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Answer: translate 10 units down, then reflect across the y axis

Step-by-step explanation:

The graph of N(t) = 75t + 120 is a straight line with a positive slope of 75. It intersects the y-axis at (0, 120) and has a y-intercept of -8/5. As t approaches infinity, N(t) increases without bound, indicating a positive relationship between the number of days of training and the average number of components assembled per day.

To sketch the graph of N(t) = 75t + 120, we can plot points on the coordinate plane by substituting different values of t into the equation.

For example, when t = 0, N(0) = 75(0) + 120 = 120. So, we have the point (0, 120).

When t = 1, N(1) = 75(1) + 120 = 195. So, we have the point (1, 195).

We can continue to calculate more points using different values of t.

The intercept is when N(t) = 0:

0 = 75t + 120

-120 = 75t

t = -120/75

t = -8/5

So, we have the intercept (0, -8/5).

To find the asymptote, we need to check what happens to N(t) as t approaches infinity. As t becomes larger and larger, the constant term 120 becomes less significant compared to the term 75t. Therefore, as t approaches infinity, N(t) approaches infinity as well.

In practical terms, this means that as the number of days of training (t) increases, the average number of components assembled (N) per day also increases. However, it is important to note that this is based on past records and the actual performance of new employees may vary. The equation provides an average trend and does not account for individual variations or other factors that may affect productivity.

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Answer:

rise/run 6/15 6/15 = 0.4

Step-by-step explanation:

Answer:

y=15/-5x+5 OR y=-3x+5

Step-by-step explanation:

any answer works. the 2nd one is just the simplified version of the first one

Answer:

A. y=x2 - 7

   y=x + 6

B. 7

Answer:

A.) 2x = y + 7

     y = x + 6

The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.

B.) They are both correct so Jacob's score is 13 points and Paul's is 19.

6 + 7 = 13 (the difference between scores in both equations)

6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.

Hope This Helps!

A multiple of a number is the product of that number and any whole number.

For example, the multiples of 7 are 7, 14, 21, 28, 35, 42, and so on.

To find all the multiples of 7 up to 1000, we can start with 7 and repeatedly add 7 to get the next multiple. We can keep doing this until we reach a multiple that is greater than 1000.

The multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693, 700, 707, 714, 721, 728, 735, 742, 749, 756, 763, 770, 777, 784, 791, 798, 805, 812, 819, 826, 833, 840, 847, 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, 924, 931, 938, 945, 952, 959, 966, 973, 980, 987, 994.

We can see that the highest multiple of 7 that is less than 1000 is 994.

We can also use a division method to find the multiples of 7. For example, if we divide 1000 by 7, the remainder is 6. So 1000 is not a multiple of 7, but 994 is a multiple of 7.

In summary, A multiple of a number is the product of that number and any whole number. To find all the multiples of 7 up to 1000, we can start with 7 and repeatedly add 7 to get the next multiple. We can also use a division method to find the multiples of 7. The multiples of 7 are : 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574,

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9514 1404 393

Answer:

  (b)  y = -2x +3

Step-by-step explanation:

Subtract the 2x term to get y by itself on the left.

  2x -2x +y = 3 -2x

  y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b