help please because i am very dumb

Answer:

4:11

Step-by-step explanation:

The ratio is 4 to 11. There are multiple ways to express this but I chose the simplest one.

The first term acute classifies the angle m∠AHB which have a measure of 84°.

An acute angle is an angle that measures less than 90 degrees. In other words, it is an angle that is smaller than a right angle (which measures exactly 90 degrees).

The angles H, 34°, and 62° lie in the straight line FC which implies their sum is equal to 180° so;

H = 180° - (34 + 62)°

H = 84°

angles m∠AHB and H are vertical angles which makes them equal, so;

H = m∠AHB = 84°.

In conclusion, the term acute classifies the angle m∠AHB which have a measure of 84°.

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The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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Answer:

Step-by-step explanation:

Geoff is feeling peckish, so he decides to pop into the shop and grab some snacks. He picks up a packet of crisps for 25p, a can of soup for 68p and a watermelon for £1.47. He wonders why the watermelon is so cheap, but he doesn't question it. He goes to the cashier and hands over a £5 note. The customer behind Geoff wonders "how much change does he get back?"

To figure this out, we need to add up the price of the snacks and take it away from the money Geoff gave. We can use a dot to show the pence as parts of a pound. For example, 25p = 0.25 pounds.

The price of the snacks is:

0.25 + 0.68 + 1.47 = 2.40 pounds

The money Geoff gave is:

5.00 pounds

The change is:

5.00 - 2.40 = 2.60 pounds

So, Geoff gets £2.60 in change and a bargain watermelon.

Answer:

Answer:

2.60

Step-by-step explanation:

25+68+147=240

500-240=260

turn into pounds 2.60

Step-by-step explanation:

Answer:

two fifths of her garden

Step-by-step explanation:

Answer: C

Step-by-step explanation: you multiply all your numbers together to get 420 and then you divide by 2 because it is half of a rectangle to get 210.

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

2⁴ - 3² = 7

Step-by-step explanation:

Given that,

→ 2⁴ - 3²

Let's solve the problem,

→ 2⁴ - 3²

→ (2 × 2 × 2 × 2) - (3 × 3)

→ 16 - 9 = 7

Thus, the answer is 7.

Answer:

7

Step-by-step explanation:

2^4=16

3^2=9

16-9=7

Answer:

k=4

Step-by-step explanation:

Hope this helps!

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\text{3x = 120}^\circ\)

\(\huge\textbf{Simplifying:}\)

\(\text{3x = 120}^\circ\)

\(\huge\textbf{Divide \boxed{\bf 3} to both sides:}\)

\(\rm{\dfrac{3x}{3} = \dfrac{120}{3}}\)

\(\huge\textbf{Simplify it:}\)

\(\rm{x = \dfrac{120}{3}}\)

\(\rm{x = 40}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{x =}\frak{40}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

brainliest pls

Step-by-step explanation:

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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The number of possible ways to select two vehicles = 55

Let m represents the number of cars and n represents the number of trucks.

An auto dealer has 5 different cars and 6 different trucks.

This means that m = 5 and n = 6

so, the total number of vehicles (t) would be,

t = m + n

t = 5 + 6

t = 11

Let us assume that p represents the number of possible ways to select two vehicles.

We use the combination formula.

\(^{n}C_r=\frac{n!}{r!(n-r)!}\)

here, n = 11 and r = 2

Using combination formula,

p = \(^{11}C_2\)

p = \(\frac{11!}{2!\times (11-2)!}\)

p = 55

Therefore, the number of possible ways = 55

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The probability that the selected student was the youngest student from Section B is 2/6.

The total number of  students is 18 which include

Section A: 5 students

Section B: 6 students

Section C: 7 students

Given that the selected student was from Section B

Calculate the probability of selecting a student from Section B

P(Section B) = 6/18 = 1/3

Calculate the probability of selecting the youngest student from Section B

Since there are 6 students in Section B, the probability of selecting the youngest student is 1/6.

Calculate the probability of selecting the youngest student from Section B given that the selected student was from Section B

P(Youngest student from Section B|Section B) = P(Youngest student from Section B ∩ Section B) / P(Section B)

= (1/6) / (1/3)

= 2/6

Therefore, the probability that the selected student was the youngest student from Section B is 2/6.

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Circumference of circle is 2πr

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14). How do you calculate a circle's circumference? The circle's radius is necessary to calculate the circumference: To calculate the diameter, multiply the radius by two. Divide the outcome by, or an estimate of 3.14. You have now successfully determined the circle's circumference.

Given,

Radius - r

Circumference of circle:

2πr

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Answer: 2

Step-by-step explanation:

Answer: 2 is the correct answer

Step-by-step explanation:

Answer:

y = - 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m = \(\frac{1-9}{4-0}\) = \(\frac{-8}{4}\) = - 2

The line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - 2x + 9 ← equation of line

The required correct statement is: D. There are 4 faces and 12 vertices.

A pyramid is a structure whose triangular outer surfaces converge to a single step at the top, giving it the appearance of a pyramid in a general sense. A pyramid's base can be triangular, quadrilateral, or any other polygonal shape. Thusly, a pyramid has no less than three external three-sided surfaces.

A pyramid typically has a polygonal base and triangular sides that converge at a single vertex, forming a point at the top. The base of the pyramid has faces, edges, and vertices, while the triangular sides only have edges and vertices.

In this case, the correct statement is:

D. There are 4 faces and 12 vertices.

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Answer:

maybe 36

Step-by-step explanation:

but can u help me What is the surface area of a square-based pyramid with a base length of 5 m and a slant height of 3 m?

Enter your answer in the box.

The missing measurement is 10 feet.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

To find the surface area of the pyramid, we can use the following formula,

A = (½)Pl + B.

Where P is the base perimeter, l is the slant height and B is the base area.

Here, the base is square-shaped.

Now, let the slant height be x.

A = (1/2)(4 × 6) (x) + (6)²

156 = 12x + 36

12x = 156 - 36

12x = 120

x = 10 feet.

Therefore, the required height is 10 feet.

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Answer:

v = 72 km/h

Step-by-step explanation:

Given that,

The distance covered by the Patrick, d = 288 km

Time taken, t = 4 hours

We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

\(v=\dfrac{d}{t}\\\\v=\dfrac{288\ km}{4\ h}\\\\v=72\ km/h\)

So, his average speed is equal to 72 km/h.

Answer:

Mikey had 5 cookies. His friend took 2 with him when he left. How many cookies does Mikey have left?

Step-by-step explanation:

Here, 5 would be the starting amount.

-2 would be the amount taken away.

3 would be our final answer.

Answer:

Do you mean 5x+20=70?

If so (Under)

Step-by-step explanation:

5x+20=70

5x=50

x=10

The function is concave down on the intervals (-∞, 5/2) and (5/2, ∞).

To determine where the function f(x) = -4x - 30x² - 72x + 7 is concave up or concave down, we need to analyze the sign of the second derivative, f"(x).

Step 1: Find the second derivative:

To find f"(x), we differentiate the first derivative f'(x) with respect to x:

f'(x) = -12x² - 60x - 72

f"(x) = d/dx(-12x² - 60x - 72)

f"(x) = -24x - 60

Step 2: Determine the intervals of concavity:

To determine where the function is concave up or concave down, we need to find the values of x where f"(x) = 0 or where f"(x) is undefined (if any).

-24x - 60 = 0

Solving for x, we have:

x = -60 / -24

x = 5/2 or 2.5

Step 3: Analyze the intervals of concavity:

We select test points from each interval and check the sign of f"(x).

Testing a point in the interval (-∞, 5/2): Let's choose x = 0.

f"(0) = -24(0) - 60 = -60

Since f"(0) < 0, the function is concave down in the interval (-∞, 5/2).

Testing a point in the interval (5/2, ∞): Let's choose x = 3.

f"(3) = -24(3) - 60 = -132

Since f"(3) < 0, the function is concave down in the interval (5/2, ∞).

In interval notation:

The function is concave down on the intervals (-∞, 5/2) and (5/2, ∞).

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Answer:

Step-by-step explanation:

Height of the triangle = apothem = 9 inches

Base = 6 inches

\(Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}\)

Area of regular polygon = Area of 5 triangle.

                                        = 5 * 27

                                        = 135 square inches

Answer:

68

Step-by-step explanation:

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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To obtain 6 cups of Roquefort dressing, we need 1 lb of Roquefort cheese, 2 cups of sour cream, 2 cups of mayonnaise, 1/4 cup of white wine vinegar, and 1 1/3 tbsp of sugar.

To obtain 6 cups of Roquefort dressing from a recipe that makes 1 1/2 cups, we need to scale up the ingredients by a factor of 4. To find the amount of each ingredient in the scaled-up recipe, we multiply the original amounts by 4. The ingredients and their scaled-up amounts are as follows:

a. Roquefort cheese: 4 oz (original amount) x 4 = 16 oz or 1 lb (scaled-up amount)

b. Sour cream: 1/2 cup (original amount) x 4 = 2 cups (scaled-up amount)

c. Mayonnaise: 1/2 cup (original amount) x 4 = 2 cups (scaled-up amount)

d. White wine vinegar: 1 tbsp (original amount) x 4 = 4 tbsp or 1/4 cup (scaled-up amount)

e. Sugar: 1 tsp (original amount) x 4 = 4 tsp or 1 1/3 tbsp (scaled-up amount)

Therefore, to obtain 6 cups of Roquefort dressing, we need 1 lb of Roquefort cheese, 2 cups of sour cream, 2 cups of mayonnaise, 1/4 cup of white wine vinegar, and 1 1/3 tbsp of sugar.

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Answer:

y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)

Step-by-step explanation:

You need to do slope-intercept formula and the slope formula.

The Slope-Intercept Formula: y=mx+b

The Slope Formula: y2 - y1 / x2-x1

Your coordinates:

(-1,4) and (1,2)

2 - 4/1- (-1)

-2/2

Simplified is -1

Your "m" in the slope-intercept formula is -1

Formula: y=-1x + b

Now, you need to find the Y-Intercept which is the "b"

Using our slope-intercept formula, you need to plug in "x1" and "y1"

4 = -1(-1) + b

4 = 1 +b

4-1 = b

3 = b

So your equation is:

y = -1x + 3 or y = -x + 3

The condition that is not met is that the sample size must be large enough to assume that the sample proportions are normally distributed.

Number is a mathematical object used to count, measure, and label. It is one of the fundamental building blocks of mathematics and is essential for any kind of calculation or measurement. Number is an abstract concept that is used in many different ways, from counting objects to expressing complex mathematical systems. Numbers can be used to represent anything from a single item to the entire universe. Numbers are also used to represent abstract ideas such as time, money, and probability.

With a sample size of only 25, it is not possible to assume that the sample proportions follow a normal distribution. As such, calculating a confidence interval for the population proportion of bags with too much salt is not possible.

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Complete questions as follows-
sapling a quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. of the bags inspected, 3 had too much salt. which of the conditions for calculating a confidence interval for the population proportion of bags with too much salt is not met?