Jenny is building a rectangular garden around a tree in her yard. The southwest corner of the garden will be 2 feet south and 3 feet west of the tree. The northwest corner of the garden is 1 foot north and 4 feet east of the tree. What will be the perimeter of Jenny's garden ? A. 10 ft B. 20 ft C. 21 ft D. 25 ft

QUESTION POSTED AT 05/12/2019 - 07:55 AM

Answered by admin AT 05/12/2019 - 07:55 AM

1. B

2. B

3. C

4. B

5. C

6. D

7. B

8. D

9. A

10. C


100% Correct

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Related questions

Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? less than 25 / less than or equal to 25 /equal to 25/ more than 25

Answer:

A. Less than 25.

Step-by-step explanation:

Let x represent 3rd side of triangle.

We have been given hat two sides of a triangle have lengths 10 and 15.

We will use triangle inequality theorem to find the 3rd side of the triangle. Triangle inequality theorem states that 3rd side of a triangle must be less than the sum of other two sides of triangle.

Using triangle inequality theorem, we can set following inequalities:

x+10>15

x+10-10>15-10

x>5

Therefore, the length of third side should be greater than 5.

10+15>x

25>x

x<25

Therefore, the length of third side should be less than 25 and option A is the correct choice.

ANSWERED AT 20/01/2020 - 01:47 PM


QUESTION POSTED AT 20/01/2020 - 01:47 PM

Brian wants to build a ramp that leads to a storeroom 5 meters above the ground. He wants the ramp to be 10 meters long. What should the angle of elevation of the ramp be?

The ladder that extends from the floor to the storeroom makes a right triangle.  The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees. 

ANSWERED AT 20/01/2020 - 01:45 PM


QUESTION POSTED AT 20/01/2020 - 01:45 PM

A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box?

The volume is 139.80 cubic inches. Solution:

Volume = L x W x H
Volume  = 19 x 1.7 x 6
Volume= 139.80 cubic inches

ANSWERED AT 20/01/2020 - 01:45 PM


QUESTION POSTED AT 20/01/2020 - 01:45 PM

As the marketing designer for Burger King, you are given a 4 in by 6 in logo and have been told to create an advertisement with sides six times larger. What is the area of your advertisement (in feet)? [12 inches = 1 ft]

The area would be 144 square inches. Solution:

Area of logo
Area = L x W
Area = 4 x 6
Area = 24 square inches

Area of Ads
Area = 6 x Logo
Area = 6 x 24
Area = 144 square inches

ANSWERED AT 20/01/2020 - 01:44 PM


QUESTION POSTED AT 20/01/2020 - 01:44 PM

The length of a rectangle is 12 in. more than its width. The perimeter is 64 in. Calculate the length of the rectangle in inches.

Let x = width
x+12 = length

Perimeter of a rectangle, P = 2x+2(x+12) = 64
2x+2x+24=64
4x = 40
x=10
x+12 = 22

therefore, length is 22 in.

ANSWERED AT 20/01/2020 - 01:41 PM


QUESTION POSTED AT 20/01/2020 - 01:41 PM

The perimeter of a rectangle is 146 cm. The width is 10 cm longer than twice the length. Find the width

Perimeter of a rectangle = 2L + 2W = 146

"width is 10 longer than twice the length"
translates to
W = 2L + 10
this can be rearranged to be
2L = W - 10

we can plug that into the first equation and get
(W - 10) + 2W = 146

add like terms
3W - 10 = 146

add 10 to both sides
3W = 156

divide both sides by 3
W = 52

therefore the width is 52 cm

ANSWERED AT 20/01/2020 - 01:36 PM


QUESTION POSTED AT 20/01/2020 - 01:36 PM

Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an obtuse triangle. A. 4 B. 5 C. 6 D. 11

Hello,

5<10+x ==> -5<x realized
10<5+x ==> x>5
x<5+10 ==> x<15
==> 5<x<15
==>x=6 or x=11 but for x=11 angle none obtus
==> 1solution x=6 (angle = 130.5416...°)




ANSWERED AT 20/01/2020 - 01:23 PM


QUESTION POSTED AT 20/01/2020 - 01:23 PM

What is the axis of symmetry for the function? y = x2 + 3x - 4 y = -2 x = -2 x = -1.5 y = -1.5 What is the vertex for the function? y = x2 - 4x - 3 (-1, 2) (0, -3) (1, -6) (2, -7) The vertex of y = 9 - 8x - x2 is (-4, 25) False True

Axis of symmetry is a line passing through the vertex which divides the curge into two parts such tha each part looks the same.
For y= x^{2} +3x-4, the 'x' part is squared and the coefficient of x^{2} is positive. Hence, the curve will be a parabola facing up which means that the axis of symmetry will be a vertical line. i.e. x = m.
Investigating, f(-1) == (-1)^{2} +3(-1)-4=1-3-4=-6
f(-1.5) = = (-1.5)^{2} +3(-1.5)-4=2.25-4.5-4=-6.25
f(-2) = = (-2)^{2} +3(-2)-4=4-6-4=-6
From these, the curve has a vertex at point (-1.5, -6)
Therefore the axis of symmetry is line x = -1.5 (i.e. the third option)

ANSWERED AT 20/01/2020 - 01:21 PM


QUESTION POSTED AT 20/01/2020 - 01:21 PM

The motion of a simple spring hanging from the ceiling can be modeled with a cosine function. The bottom of the spring has a maximum height of 7 feet 4 inches and a minimum height of 6 feet 2 inches from the floor. It takes 2 seconds for the spring to expand from its minimum length to its maximum length. What is a cosine function that models the spring’s length in inches above and below its average, resting position? Express the model as a function of time in seconds

To get the average resting position of the spring, we must subtract the minimum from the maximum height of the spring with respect to the floor.
So,
7 + (4/12) - [ 6 + (2/12) ] = 1.5 ft

Half of this is where the resting position of the spring is located with respect to the minimum height. If the resting position of the spring is set at 0, then the amplitude of the wave is:
A = 1.5 / 2 = 0.75

Since it takes 2 seconds for the spring to expand from minimum to maximum,
Period = 2 = 2π / n
n = π

The cosine function is:
 y = A cos nt

where y is the distance from the resting position and t is the time in seconds.
y = 0.75 cos πt

ANSWERED AT 20/01/2020 - 01:21 PM


QUESTION POSTED AT 20/01/2020 - 01:21 PM

Help me understand please ;-; Which shows the equation in standard form? 6y - 12 = -3x Which shows the equation in standard form? 10 - 2(x - y) = 3x + 1

Standard form for first one is
ax+by=c

6y-12=-3x
add 3x both sides
3x+6y-12=0
add 12
3x+6y=12


second one
distribute (don't forget double negative y)
10-2x+2y=3x+1
minus 3x both sides
10-5x+2y=1
minus 10 both sides
-5x+2y=-9



the equations are
3x+6y=12
-5x+2y=-9

ANSWERED AT 20/01/2020 - 01:17 PM


QUESTION POSTED AT 20/01/2020 - 01:17 PM

If p varies directly with q, and p = 10 when q = 5, what is the value of p when q = 20

The value of p would be 40. This is because the ratio of p:q = 10:5. this could be simplify into p:q = 2:1. Applying the ratio p:20 = 2:1, P=40.

ANSWERED AT 20/01/2020 - 01:16 PM


QUESTION POSTED AT 20/01/2020 - 01:16 PM

GEOMETRY QUESTION! Please Help 9. A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm of air. How much air does the balloon hold when the design is 10 cm wide? Explain the method you use to find the amount of air.

142cm of air I think... I divided 142 buy 2. also then added 71 and 71 and multiplied buy 2 all were same answer

ANSWERED AT 20/01/2020 - 01:14 PM


QUESTION POSTED AT 20/01/2020 - 01:14 PM

1.What is the correct reason for statement 2? Prove: 2(w + 6) + 4 = 2w + 16 Statements Reasons 1. 2(w + 6) + 4 1. Given 2. (2w + 12) + 4 2. ? 3. 2w + (12 + 4) 3. Associative Property 4. 2w + 16 4. Addition 2.What is the correct reason for statement 2? Prove: 4 + 3x + (x ∙ 2) = 5x + 4 Statements Reasons 1. 4 + 3x + (x ∙ 2) 1. Given 2. 4 + 3x + 2x 2. ? 3. 4 + 5x 3. Addition 4. 5x + 4 4. Commutative Property 3.What is the correct reason for statement 3? Prove: (11m) ∙ 4 + m = 45m Statements Reasons 1. (11m) ∙ 4 + m 1. Given 2. 4 ∙ (11m) + m 2. Commutative Property 3. (4 ∙ 11) ∙ m + m 3. ? 4. 44m + m 4. Commutative Property 5. 45m 5. Addition 4.What is the correct reason for statement 5? Prove: k + 4 + 6(1 + k) = 11k + 10 Statements Reasons 1. k + 4 + 6(1 + k) 1. Given 2. k + 4 + (6+ 6k) 2. Distributive Property 3. k + (4 + 6) + 6k 3. Associative Property 4. k + 10 + 6k 4. Addition 5. k + 6k + 10 5. ? 6. 7k + 10 6. Addition 5.Select the correct reasons for statements 1 and 3 to complete the proof. Prove: 3x + 2 • x • 11 = 25x. 1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ? 2. 3x + 2 • x • 11 = 3x + 22x 2. Multiplication 3. 3x + 2 • x • 11 = 25x 3. ?

1. The reason for statement 2 is
Distributive Property

2. The reason for statement 2 is
Commutative Property

3. The reason for statement 3 is
Associative Property

4. The reason for statement 5 is
Commutative Property

5. The reason for statement 1 is
Associative Property
The reason for statement 3 is
Addition

ANSWERED AT 20/01/2020 - 01:12 PM


QUESTION POSTED AT 20/01/2020 - 01:12 PM

If cos Θ = negative two over five and tan Θ > 0, what is the value of sin Θ? negative square root / 21 negative square root / 21 over 5 square root / 21 over 5 square root of 21 over 2

Answer:  The correct option is (B) negative square root 21 over 5.

Step-by-step explanation:  Given that for an angle \theta,

\cos \theta=-\dfrac{2}{5},~~~\tan \theta>0.

We are to find the value of \sin \theta.

We know that

Cosine is negative in Quadrant II and Quadrant III.

Tangent is positive in Quadrant 1 and Quadrant III.

So, the given angle \theta lies in the Quadrant III.

We will be using the following trigonometric identity:

\cos^2\theta+\sin^2\theta=1.

We have

\cos \theta=-\dfrac{2}{5}\\\\\\\Rightarrow \sqrt{1-\sin^2\theta}=-\dfrac{2}{5}\\\\\\\Rightarrow 1-\sin^2\theta=\dfrac{4}{25}\\\\\\\Rightarrow \sin^2\theta=1-\dfrac{4}{25}\\\\\\\Rightarrow \sin^2\theta=\dfrac{21}{25}\\\\\\\Rightarrow \sin \theta=\pm\dfrac{\sqrt{21}}{5}.

Since the angle \theta lies in Quadrant III and sine is negative in that quadrant, so

\sin\theta=-\dfrac{\sqrt{21}}{5}.

Thus, option (B) is correct.

ANSWERED AT 20/01/2020 - 01:11 PM


QUESTION POSTED AT 20/01/2020 - 01:11 PM

What will the last payment be to pay off a $1,250 computer plus 8% sales tax with monthly payments of $120? $10 $11 $12 $20 $30

The last payment would be $30. This is computed by solving first the total amount of computer including 8% tax, so 1,250 times 8% is equal to 100, then 100 plus 1,250 is 1,350. Then 1,350 will be divided by 120, which is equal to 11.25. Getting the 0.25, from 11.25, multiply be 120 (0.25 times 120), is equal to $30.

ANSWERED AT 20/01/2020 - 01:11 PM


QUESTION POSTED AT 20/01/2020 - 01:11 PM

Whats 20 percent of 22

20 percent of 22 is equal to 4.4. 

ANSWERED AT 20/01/2020 - 01:08 PM


QUESTION POSTED AT 20/01/2020 - 01:08 PM

Number on the Cube Number of Times Rolled 1 16 2 14 3 5 4 17 5 21 6 27 Heads Tails 41 59 Using Jack's simulation, what is the probability of rolling a 6 on the number cube and the coin landing on heads? fraction 1,107 over 10,000 fraction 1,593 over 10,000 fraction 27 over 100 fraction 41 over 100

Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =  \frac{27}{100}
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =  \frac{41}{100}
Therefore, probability of rolling a 6 and tossing a head =  \frac{27}{100}\times\frac{41}{100}=\frac{1107}{10000}





ANSWERED AT 20/01/2020 - 01:08 PM


QUESTION POSTED AT 20/01/2020 - 01:08 PM

A movie rental store charges a membership fee of $10.00 plus $1.50 per movie rented. What is a possible domain that shows the cost to a member of renting movies? A. The domain is all integers. B. The domain is all even integers. C. The domain is all integers 0 or greater. D. The domain is all integers 10 or greater.

The domain is all integers 10 or greater. This is because the working equation for the statement is movie renting = 10 + 1.5 x(movie renting). With that equation there is a minimum of 10.

ANSWERED AT 20/01/2020 - 01:07 PM


QUESTION POSTED AT 20/01/2020 - 01:07 PM

A ball is thrown from an initial height of 7 feet with an initial upward velocity of 17ft/s . The ball's height h (in feet) after seconds t is given by the following. h=7+17t-16t^2 Find all values of t for which the ball's height is 11 feet. Round your answer(s) to the nearest hundredth.

Hello,

-16t²+17t+7=11
==>16t²-17t+4=0
Δ=17²-4*4*16=33
==>t= (17-√33)/32=0.351732... (s)≈0.35 (s)
or t=(17+√33)/32=0.710767 (s)≈0.71 (s)

ANSWERED AT 20/01/2020 - 01:06 PM


QUESTION POSTED AT 20/01/2020 - 01:06 PM

Add any three numbers of the following and answer should be 60? (2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58)

Answer:

This is not possible.

Step-by-step explanation:

The given series is : 2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58

Now, adding any three numbers to get 60, is not possible.

The numbers are in the form 2+4n where n is a positive integer.

Summing together three such numbers you get 6+4N

(N = n1 + n2 + n3, ...)

We want to get 6+4N= 60

=> 4N =54

=> n1+n2+n3 =27.5

Hence, it is not possible.

ANSWERED AT 20/01/2020 - 01:05 PM


QUESTION POSTED AT 20/01/2020 - 01:05 PM

What's the circumference of a circle with a radius of 7 feet? A) 153.86 feet B) 43.96 C) 21.98 D) None of the above.

The circumference of the circle with 7 feet radius is 43.96 feet. This is computed using the formula in solving the circumference, 2 times Pi times radius. Substituting the values given, circumference is equal to 2 times Pi (3.14) times 7 feet, which give us the answer of 43.96 feet.

ANSWERED AT 20/01/2020 - 01:03 PM


QUESTION POSTED AT 20/01/2020 - 01:03 PM

To prepare for a triathlon, Amanda starts from position A and rides her bike along a straight road for 12 miles to reach position B. At B, she turns left and rides along another straight road for 15 miles to reach position C. At C, she turns left again and rides 20 miles along a straight road to return to A. In ΔABC, what are m∠A, m∠B, and m∠C, respectively?

The angles can solved by using the cosine law. Solving for the measure of angle A
15² = 20² + 12² - 2(20)(12) cos A
A = 48.35°

Angle B can solved by either also using the cosine law or by sine law. Let's use sine law:
20 / sin B = 15 / sin 48.35
B = 85.06°

The measure of angle C can just be solved by difference of the total angle of the triangle.
C = 180 - 48.35 - 85.06
C = 45.59°

ANSWERED AT 20/01/2020 - 01:01 PM


QUESTION POSTED AT 20/01/2020 - 01:01 PM

The diameter of a round dinner plate is 10 inches. What's the area of the plate?

The area is ten inches

ANSWERED AT 20/01/2020 - 01:00 PM


QUESTION POSTED AT 20/01/2020 - 01:00 PM

Sammy flips the counter 20 times what is the probability that the 21st flip will result in landing red side up

It is a 50/50 chance if the counter only has two sides.

ANSWERED AT 20/01/2020 - 12:59 PM


QUESTION POSTED AT 20/01/2020 - 12:59 PM