Oliver has created a plot of his backyard on the given coordinate plane, so that each unit length is one yard. He wants to design a right triangular plant bed for his backyard that has an area of eight square yards. After placing one vertex of the base of the plant bed at (3, 8) and one vertex at (7, 8) on his coordinate plane, he has to determine where to place the last vertex. Locate the possible locations of the last vertex on the coordinate plane.
Answers
Answer:
The possible locations are;
(3, 4), (3, 12), (7, 4), and (7, 12)
Please find attached the plot of the points created with Microsoft Excel
Step-by-step explanation:
The given parameters of the plot of Oliver's backyard are;
The area of the right triangular plant bed Oliver wants to design, A = 8 yd²
The length of a/each unit of the plot = 1 yard
The location of one of the vertex of the right triangular area = (3, 8)
The location of the other vertex of the right triangular area = (7, 8)
We note that the area of a triangle, A = 1/2 × Base length, B × Height, h
Let the distance between the two plotted point represent the base length, 'B', therefore;
B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;
Therefore, the base length, B = 4 yards
A = 1/2 × B × h
∴ A = 8 yd.² = 1/2 × 4 yd. × h
h = 8 yd.²/ 2 yd. = 4 yd.
The height of the right triangle, h = 4 yd.
Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;
(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).
Answer:
3,4 7,4
Step-by-step explanation:
Related Questions
im struggling on this problem PLEASE show the WORK (-x+3)-(x-5)
Answers
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
Let's simplify step-by-step.
− x + 3 − ( x − 5 )
Distribute the Negative Sign:
= − x + 3 + − 1 ( x − 5 )
= − x + 3 + − 1x + ( − 1 ) ( − 5 )
= − x + 3 + − x + 5
Combine Like Terms:
= − x + 3 + − x + 5
= ( − x + − x ) + ( 3 + 5 )
= − 2x + 8
Answer:
= − 2x + 8
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
After you complete that first part, you can pull the first part back and start to combine them. -x+3-x+5 becomes -2x+8.
Now here’s the work part.
(-x+3)-(x-5)
(-x+3) (-x+5)
-x (+) -x = -2x
3+5 = 8
-2x+8 is the final answer
11. The rope Jenny brought with her camping gear is 54 inches long. Jenny needs to cut shorter pieces of rope that are each 18 inches long. What are the possible number of pieces Jenny can cut? also, I'm sorry that the picture is sideways.
Answers
Answer:
18x≤54
Step-by-step explanation:
Jenny can only cut multiples of 18. x represents the number of pieces that Jenny can cut in order to satisfy the condition that she cuts less than or equal to 54 inches of rope total.
Find the value of x.
Answers
Answer:
x=77°
Step-by-step explanation:
All quadrilaterals' interior angles sum to 360°, so to solve one angle in the trapezoid, we can subtract the angles we have from 360.
So x=360-(60+128+95)=77°
x=77°
Part D:
240 out of 1200 adults in survey of Western states named cookie dough as their favorite. Use the double number line to find the percent of Westerners who liked cookie dough best. Please label each of the points on the top and bottom number lines that you use to find your answer.
Answers
1200/240=5
so 240 goes into 1200 5 times, just like 20% goes into 100% 5 times.
The answer would be 20%.
Hope this helps!
a library has 8,000 books and is adding 500 more each year. does the word problem represent a linear or exponential equation??
Answers
This is because an exponential function increases at an exponential rate. Or, with multiplication.
Linear functions increase at a constant rate, with addition.
Answer:
This problem represents a linear equation.
Step-by-step explanation:
A linear equation is by adding to a certain number, but an exponential equation is multiplying by a certain number. Therefore, it is a linear equation.
Cuando al menos una de cuatro banderas de colores rojo, verde, negro y azul es acomodadas verticalmente con un asta de bandera, el resultado indica una señal (o mensaje). Arreglos diferentes proporcionan señales diferentes a) ¿cuantas señales diferentes son posibles si las cuatro banderas son utilizadas? b) ¿cuantas señales diferentes son posibles si almenos una bandera es utilizada
Answers
Answer:
respuesta b
¿cuantas señales diferentes son posibles si almenos una bandera es utilizada?
4P4+4P3+4P2+4P1=64
R
56
30°
T
S
What is the measure of Angle R?
plz help
Answers
Answer:
94
Step-by-step explanation:
180-30-56=94 degrees
someone smart pls help
Answers
Answer:
5
Step-by-step explanation:
-2^2=-4
3^2=9
add
-4+9=5
BRAINLIEST!!!!! PLZ SOLVE BELOW!!!!
Answers
The length is 4.5 inches and the width is 2.5
divide the scale factor 1:16 to the real life lawn measure being 9 inches by 5 inches and that gives us
The length of inches and inches
Hope this helps
The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The
height of the prism is 16.5 meters.
Answers
Answer:
379.5 square units
Step-by-step explanation:
The computation of the lateral surface area of the prism is shown below;
Here we have to use the following formula
= (a + b+ c) ×h
where
a = 5
b = 10
c = 8
And, h = 16.5
SO, the lateral surface area of the prism is
= (5 + 10 + 8) × 16.5
= 23 × 16.5
= 379.5 square units
Lines CD and DE are tangent to circle A shown below: Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 112 degrees. Point B lies on circle A. If Arc CE is 112°, what is the measure of ∠CDE? (4 points) Question 5 options: 1) 124° 2) 136° 3) 68° 4) 56°
Answers
Answer:
Option (3)
Step-by-step explanation:
By the theorem, angle between two tangents intersecting each other outside the circle is half of the difference between intercepted arcs.
From the figure attached,
Two tangents CD and DE are intersecting each other at point D outside the circle A.
Two intercepted arcs are minor arc CE and major arc CBE,
Measure of arc CE = 112°
Therefore, measure of major arc CBE = 360° - 112°
= 248°
m(∠CDE) = [tex]\frac{1}{2}(\text{arcCBE}-\text{arcCE})[/tex]
= [tex]\frac{1}{2}(248-112)[/tex]
= [tex]\frac{1}{2}\times 136[/tex]
= 68°
Option (3) will be the correct option.
Answer:
C
Step-by-step explanation:
write the slope-intercept form of the equation of the line given the slope and y intercept. ( y = mx + b
slope = 4/3 y - intercept = 5
Answers
I hope that helps:)
Slope is m
Y-intercept is b
y=4/3x+5
Good luck
Just ratios, please help
Express the ratio in lowest terms. (Enter your answer in fraction form.)
80/32
Express the ratio in lowest terms. (Enter your answer in fraction form.)
24 to 21
Express the ratio in lowest terms. (Enter your answer in fraction form.)
2/9 to 7/6
Express the ratio in lowest terms. (Enter your answer in fraction form.)
4 1/2 to 2 1/2
Answers
24/21 -> 8/7 (divided by 3)
2/9 to 7/6 -> 4/21
Find least common denominator (18), and fractions/ratio become 4/18 to 21/18. Multiply both times 18 to eliminate the denominators = 4 to 21 = 4/21
4 1/2 to 2 1/2 -> 9/2 to 5/2 -> 9/5
Convert mixed numbers to fractions:
9/2 to 5/2
Multiply both by 2 to eliminate the denominators, and the ratio is 9 to 5 = 9/5
Which expression can be used to find the difference of the polynomials?
(10m - 6) - (7m -4)
Answers
Answer:
Value of given expression (10m - 6) - (7m - 4) is (3m - 2)
Step-by-step explanation:
Given:
Expression (10m - 6) - (7m - 4)
Find:
Value of given expression (10m - 6) - (7m - 4)
Computation:
(10m - 6) - (7m - 4)
Multiply " - " into (7m - 4)
So,
Solution ⇒ 10m - 6 - (7m) - (-4)
By solving brackets;
Solution ⇒ 10m - 6 - 7m + 4
Solution ⇒ 3m - 2
Value of given expression (10m - 6) - (7m - 4) is (3m - 2)
Type the correct answer in the box. Use numerals instead of words.
From the top of a 300-foot cliff overlooking the ocean, Kelly measures the angle of depression to a boat approaching the shore as 20°.
What is the approximate distance between the boat and the base of the cliff? Round your answer to the nearest whole foot.
feet.
The distance between the boat and the base of the cliff is
Answers
Answer:
824 feet
Step-by-step explanation:
Got it right on Plato
Use PMT equals StartFraction Upper P (StartFraction r Over n EndFraction )Over [1 minus (1 plus StartFraction r Over n EndFraction )Superscript negative nt ]EndFraction to determine the regular payment amount, rounded to the nearest dollar. The price of a home is $195 comma 000. The bank requires a 20% down payment and three points at the time of closing. The cost of the home is financed with a 30-year fixed-rate mortgage at 10%. Complete parts (a) through (e) below. a. Find the required down payment. $ 39,000 b. Find the amount of the mortgage. $ nothing
Answers
Answer:
I think it’s best to ask your teacher
Step-by-step explanation:
Sorry I needed the points
find the arc length if the central angle a = 70°
and the radius is r=55 ft
Answers
Answer:
The arc length should be 67.1952 feet.
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
Could someone help here, thankyou!
Answers
Answer:
x = 6 cm
Step-by-step explanation:
Given ratio of sides of similar figures = a : b , then
ratio of areas = a² : b²
Here ratio of areas = 5 : 45 = 1 : 9 , so
ratio of sides = [tex]\sqrt{1}[/tex] : [tex]\sqrt{9}[/tex] = 1 : 3
Thus side of B is 3 times side of A
x = 3 × 2 = 6 cm
Gina randomly selected students at her school to ask them about their
favorite season. If there are 900 students at Gina's school, how many of
them would choose fall as their favorite season?
Answers
Answer:
252
Step-by-step explanation:
7/25=252/900
This is geometry. Please help. If at all possible show solving steps or step explanations.
Answers
#5 George took a 30 question math quiz. She got 10% of the questions incorrect. How many questions did she
get incorrect?
Answers
Answer:
3
Step-by-step explanation:
Number of Questions = 30
Percentage incorrect = 10%
10% = 10 / 100 x 30
= 300 / 100
= 3
George got 3 questions incorrect.
Question 1
Which option below is an example of consecutive numbers?
OOOO
2,4,6,8...
1,4,9, 16...
1.1.1.3...
5, 6, 7, 8...
с
d
Review Answers
Answers
four tins of beans weigh 1.6kg work out the weight of 12 tins of beans
Answers
Find the measure of line segment EF. Please!!
Answers
Answer:
EF = 26
Step-by-step explanation:
From the question, we have that arc EF and arc CD are equal
what this indicates is that the line that bounds these arcs too will be equal
Hence, CD equals EF
Thus;
9x-1 = 41-5x
9x + 5x = 41 + 1
14x = 42
x = 42/14
x = 3
Recall;
EF is 41-5x
EF = 41-5(3)
EF = 41-15
EF = 26
Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.
Answers
Answer: 193 inches squared
Step-by-step explanation:
I can’t figure this out
Answers
its the first one or A
Answer:
The answer to that is the first one :)
Use linear function g(x)=3x+5
a. Given x= 1,3,5,7 what are the output values of g(x). respectively?
b.write the input and output values as ordered pairs (hint: there are four order pairs.)
c. How did the order pairs change ?
Answers
A. 8, 14, 20, 26
B. (1, 8), (3, 14), (5, 20), (7, 26)
C. As x increased by 2, g(x) increased by 6. If x increases by 1, g(x) will increase by 3.
Hope this helped.
Consider the following prisms, whose bases are both squares.
Naomi tried to use Cavalieri's principle to show that the two figures have the same volume.
"The base areas are the same. Therefore, corresponding cross-sections have the same area. So the volumes must be the same."
What is the first mistake Naomi made?
Answers
Answer: C: she did not establish that heights are the same
Naomi mistaken about the bases.
What is difference between square and a rhombus?A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.
Every rhombus is not a square, The reason is that rhombus does not contain any right angles, so it would not a square.
Given two parallel piped figures
Naomi is mistaken by the base area as the bases are one is a a square and other one is a rhombus.
Hence, Naomi mistaken about the bases.
Find out more information about square and rhombus here
https://brainly.com/question/14483119
#SPJ2
Elena's cousins went to a restaurant. The part of the entire cost of the meal that was tax and tip together was 25% of the cost of the food alone. What could the tax rate and tip rate be?
Answers
BABES HELP ME OUT HERE OKAY TYSM MUAH MUAH
Answers
Answer:
I really think it's A cause I hust had that same question on my test
Answer:
I think it's A cuz for me, B is just... I don't know about B
