What is the length of segment DB?

Answer:

(A) a triangle with a base of 6m and height of 4m:

Area = 1/2 x base x height = 1/2 x 6m x 4m = 12m^2

(B) a parallelogram with a base of 48m and a height of 0.5m:

Area = base x height = 48m x 0.5m = 24m^2

(C) a trapezoid with bases 9m and 3m and height of 4m:

Area = 1/2 x (base1 + base2) x height = 1/2 x (9m + 3m) x 4m = 24m^2

(D) a triangle with a base of 8m and a height of 3m:

Area = 1/2 x base x height = 1/2 x 8m x 3m = 12m^2

So the shapes that have an area of 24 m^2 are A (triangle) and C (trapezoid).

I Hope This Helps!

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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They donate:

then, 500 - 50 = 450 sprouts are left.

They sell:

then, 450 - 90 = 360 sprouts are left.

They plant in the greenhouse:

then, 360 - 18 = 342 sprouts are left.

The members plant 342 sprouts outside

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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The function third represents the same domain and range as the provided function option second is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\(\rm f(x) = -\dfrac{5}{7}\left(\dfrac{3}{5}\right)^{x}\)

The domain will be all real numbers and the range will be y<0

In the function:

\(\rm f(x)= -\dfrac{5}{7}\left(\dfrac{3}{5}\right)^{-x}\)

The domain will be all real numbers

The range will be y<0

Thus, the function third represents the same domain and range as the provided function option second is correct.

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3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Answer:

The slope is -4.

Step-by-step explanation:

y=-4x+7

y=mx+b where m=slope,

so m=-4.

Hi!

The equation that we're given is in slope-intercept form,

Where:

Therefore,

Voila! There's our solution!

Have a nice day!

I hope this helped. :)

Answer:

11/10

Step-by-step explanation:

yay a good question

slope between points is

x2-x1/y2-y1

-7-4 = -11

-2-8=-10

11/10 is the answer

Determine the slope of the line passing through the points (4, 8) and (-2, -7).

From inspection on the given problem:

To calculate the slope of the line passing through the given points, we must use the formula below:

Substitute the given values into the slope formula and solve for m:

\( \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{- 7 - 8}{ -2 - 4} = \dfrac{ - 15}{ - 6} = \bold{-\dfrac{15}{6}}}\)

Therefore, the slope of the line passing through the given points is \(-\dfrac{15}{6}\).

The resolution of the given force applied to the shovel is: A vertical force of 592 NA horizontal force of 215.47 N

The components of a force represent the combined vertical and horizontal forces that combine to make the resultant force. Components are two vectors that add up to the given vector which are perpendicular to each other.

Now, when we apply a force F to an object at an angle θ, it can be said that the resolution of the forces is:

In the horizontal direction: F_x = F * cos θIn the vertical direction: F_y = F * sin θTyri pushes a shovel into the ground with a force of 630 newtons at an angle of 70° with the ground.

Thus, the diagram that shows the resolution of the forces is:

A vertical line showing a force of 630 * sin 70 = 592 N

A horizontal line showing a force of 630 * cos 70 = 215.47 N

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Answer:

8)  $3,284.73

9)  $202.40

Step-by-step explanation:

To solve both these problems, we can use the formula for compound interest:

\(\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for A:

\(A=1600\left(1+\dfrac{0.024}{12}\right)^{12 \cdot 30}\)

\(A=1600\left(1+0.002\right)^{360}\)

\(A=1600\left(1.002\right)^{360}\)

\(A=3284.730430...\)

\(A=3284.73\)

Therefore, the balance of Scott's account after 30 years will be $3,284.73.

\(\hrulefill\)

Given values:

Substitute the given values into the formula and solve for A:

\(A=500\left(1+\dfrac{0.034}{52}\right)^{52 \cdot 10}\)

\(A=500\left(1.000653846...\right)^{520}\)

\(A=702.3957509...\)

\(A=702.40\)

Therefore, the balance of the account after 10 years will be $702.40, which includes both the principal and the interest.

To find the amount of interest earned, subtract the principal:

Interest earned = $702.40 - $500 = $202.40

Therefore, Kaylee will have earned $202.40 in interest after 10 years.

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer

The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.

Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.

In the picture, the main line is GH while JK is the line constructed to bisect the main line

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answer/explanation:

hope this helps

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Answer:

\(y - 4 = - 3(x - 2)\)

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

Answer:

f(-1)= -1      

f(3)= -2

Step-by-step explanation:

I am in AP Calculus, I'm smart.  Brainliest????

Answer:

5(5x+12)

Step-by-step explanation:

So, take everything out.

GCF 25 and 60

5*5 and 5*3*4

5 is the common factor.

5(5x+12)

Hope this helps plz hit the crown :D

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The object's acceleration is \(108.1 ms^{-2\)

Acceleration is the rate of change of velocity over time

The given parameters are:

The acceleration (a) is then calculated using:

\(v^2 = u^2 + 2as\)

So, we have:

\(105^2 = 0^2 + 2 \times a \times 51\)

Simplify

\(11025 = 102a \)

Make a the subject

\(a= 108.1\)

Hence, the object's acceleration is \(108.1 ms^{-2\)

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Answer: Broken Math Problem

Step-by-step explanation:

Let's see how the while loop functions for n = 2345. Inside the loop, the reversed number is calculated using the formula reverse = reverse * 10 + remainder. n. n != 0.

Given,

arr: [7, 234, 58100]

Expected Output:

7 + 432+ 18500 = 18939

Input:

arr: [0, 100, 220]

Expected Output:

0 + 100 + 220 = 320

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The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

1 cubic cent

Step-by-step explanation:

Cause the volume of a cube is V^3. So, 1x1x1 = 1

Answer:

The answer is 1 cubic centimeter.

Step-by-step explanation:

Answer:

Commutative property of multiplication

Step-by-step explanation:

The commutative property of multiplication says that order doesn't matter in multiplication, and putting parenthesis affects the order, so that means the answer is commutative property of multiplication

Answer:

120

Step-by-step explanation:

Divide 1,080 by 9.

Answer: (5.5,17.5)

Step-by-step explanation: using the midpoint formula

Answer:

5

Step-by-step explanation:

there are five flat surfaces, if you could set a plate on it and eat, it's a flat surface

In this triangle, the product of sin B and tan C is\(b^2/(ac)\)  , and the product of sin C and tan B is \(c^2/(ab)\).

In a right-angled triangle ABC, where angle A is 90 degrees, we have the following side lengths:

AB = c (base)

BC = a (hypotenuse)

AC = b (perpendicular)

We need to calculate the products of sin B and tan C, and sin C and tan B.

First, let's calculate sin B and tan C:

sin(B) = opposite/hypotenuse = AC/BC = b/a

tan(C) = opposite/adjacent = AC/AB = b/c

The product of sin B and tan C is sin(B) * tan(C) = (b/a) * (b/c) = \(b^2\)/(ac).

Next, let's calculate sin C and tan B:

sin(C) = opposite/hypotenuse = AB/BC = c/a

tan(B) = opposite/adjacent = AB/AC = c/b

The product of sin C and tan B is sin(C) * tan(B) = (c/a) * (c/b) = \(c^2\)/(ab).

Therefore, in the given right-angled triangle ABC, the product of sin B and tan C is\(b^2\)/(ac), and the product of sin C and tan B is \(c^2\)/(ab).

These formulas hold true for any right-angled triangle, where the base is AB, the hypotenuse is BC, and the perpendicular is AC.

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The question probable may be:

In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.