PLEASE HELP! 50 POINTS PLUS BRAINLIEST TO THE MOST EXPLAINED ANSWER (PLEASE SHOW THE PROCESS)
Chauncey is building a storage bench for his son’s playroom. The storage bench will fit into the corner and against two walls to form a triangle. Chauncey wants to buy a triangular shaped cover for the bench.
Formula for Area of Triangle:
A = ½ x b x h
(the photo is below)
If the base of the storage bench is 2 ½ ft. and the height along one side of the wall is 4 ½ ft. What is the area of the triangular cover?
Answers
Answer:
2.5 times 4.5 times .5 = 5.625 ft squared
Step-by-step explanation:
Lets look at our Formula
.5 times base of triangle (b) times height of triangle (h)
Based on the photo, the height is 4.5 feet and the base is 2.5 feet.
4.5 times 2.5 times .5 (the 1/2 in the formula) = 5.625 ft squared.
Remember that it is 1/2 times the base and height, b/c triangle is half of square. Ft squared because ft times ft equals ft squared
Related Questions
-15x + 5 = -10x + 25 solve for x
Answers
Answer:
Move all terms containing x to the left side of the equation.
−5x+5=25
Move all terms not containing x to the right side of the equation.
−5x=20
Divide each term by −5 and simplify.
x=−4
Step-by-step explanation:
Answer:
[tex]15x + 5 = -10x + 25[/tex]
[tex]15x+5-5=-10x+25-5[/tex]
[tex]15x=-10x+20[/tex]
[tex]15x+10x=-10x+20+10x[/tex]
[tex]25x=20[/tex]
[tex]\frac{25x}{25}=\frac{20}{25}[/tex]
[tex]x=\frac{4}{5}[/tex]
How many times does the pyramid fit in the cube of both bases and height are the same?
Answers
If the base is 120×120
120
×
120
units, and the height is 120
120
units, with the summit directly above the center of the base, then each side has a slope of 2
2
: one unit towards the center, the side wall rises by two units.
This means that at height 5
5
above the base, each side is 5×12=2.5
5
×
1
2
=
2.5
inwards, i.e. 115×115
115
×
115
in area, because each of the four sides (north, south, east west) is inwards by that amount. In other words, the bottommost layer of 5×5×5
5
×
5
×
5
blocks covers 115×115
115
×
115
unit area of the base, and thus consists of 23×23
23
×
23
blocks.
The next layer of blocks is similarly smaller, covering a 110×110
110
×
110
area on top of the previous layer of blocks, i.e. one block less in both directions, consisting of 22×22
22
×
22
blocks. (You might note that the center of each block in the upper layer is at the corners of four blocks in the lower layer, although it does not affect the math here at all.)
This continues upwards, with the 23rd layer having just one block. Note that since 23×5=115
23
×
5
=
115
, the summit of the pyramid (a rectangular pyramid itself, of course, with base 5×5
5
×
5
on top of the topmost block, and height another 5
5
) is empty; it does not have enough room to contain even a single block.
If we count the number of blocks in each layer, we get
=23×23+22×22+21×21+…+1
N
=
23
×
23
+
22
×
22
+
21
×
21
+
…
+
1
That is not too hard to do by hand (or, better, calculator; or even with 2×2 Lego bricks), but mathematically we can also say that
=∑=1232
N
=
∑
i
=
1
23
i
2
As it happens, it is already known (in lists of known sums) that
∑=12=16(+1)(2+1)
∑
i
=
1
n
i
2
=
1
6
n
(
n
+
1
)
(
2
n
+
1
)
and therefore
=16×23×24×47=4324
what order pair is 3 up and 2 to the right of point t
Answers
a rectangle has a length of 18 ft less than 7 times its width if the area of the rectangle is 405 square feet. what's the length of the rectangle
Answers
Answer:
i don't know um is there any multiple questions?
Step-by-step explanation:
A lifeguard is standing beside the lifeguard chair on a beach.The lifeguard is 76 inches tall and casts a shadow that is 48 inches long.The chair casts a shadow that is 72 inches long.How y'all is the lifeguard chair?
Answers
9514 1404 393
Answer:
114 inches, or 9 ft 6 inches
Step-by-step explanation:
The chair's shadow is 72/48 = 1.5 times as long as the lifeguard's shadow. Since shadow length is presumed proportional to height, we expect the lifeguard chair to be 1.5 times as tall as the lifeguard.
1.5(76 in) = 114 in = 9 ft 6 in . . . height of lifeguard chair
simplify mentally 4867.293 ÷ 1000
Answers
Step-by-step explanation:
20htff5tgtgtgtgtf5ddrtfy g huhh
15
12
П
[Not drawn to scale)
What is the area of the reduced rectangle?
Answers
find the missing length
Answers
Answer:
36
Step-by-step explanation:
since the triangles are similar, that means that they have the same angles, and all 3 correlating sides have the same scaling factor.
C correlates to R.
B to Q.
A to P.
therefore,
CB correlates to RQ.
84 / 18 = 14 / 3
so, the scaling factor from ABC to PQR is
3/14
AB to PQ must have the same scaling factor :
168 × 3/14 = 12 × 3 = 36
which is also (of course) confirming the ratio of leg to baseline of the original triangle :
AB : CB = 168 : 84 = 2 : 1
and now
PQ : RQ = 36 : 18 = 2 : 1
In a pet shop, there are 3 hamsters for every 2 guinea pigs, and there are 2 giant cloud rats for every 3 guinea pigs. If N is the total number of hamsters, guinea pigs, and giant cloud rats, and N>0 then what is the smallest possible value of N
Answers
Answer:
n = 19.
Step-by-step explanation:
If there are x guinea pigs then there are 3/2 x and 2/3 x rats.
So n = x + 3/2 x + 2/3 x
n = 19x / 6
19x = 6n
Let x = 6 , then n = 19*6 / 6 = 19.
Now n and x must be whole numbers so x is 6 and n = 19 are the smallest possible values.
on a twelve hours clock the time is quarter -past nine. where does the long head and point ?
Answers
Answer:
It points to 3 in on the clock.
Hope it helps!!!
Hiuxian scores 68 out of 80 for her Science test, Priya scores 86 out of 120 for her Science test and Rui feng scores 120 out of 150 for his Science test. Who performs the best in his/her Science test?
Answers
Answer:
Hiuzian score the best in his/her science test.
Step-by-step explanation:
convert these fractions into percentage.
68/80 = 85%
86/120 = 71.67%
120/150 = 80%
Resuelve lo siguiente:
1.-Carlos tiene un mazo de 15 cartas numeradas del 1 al 15. Saca una carta al
azar, ve el número, y la revuelve de nuevo en el mazo. ¿Cuál es la probabilidad de
que no le salga una carta menor o igual a 5 en el primer intento, pero que si le
salga una carta menor o igual a 5 en el segundo intento?
1
1
2
B) 9
A) 9
C) 3
D) 3
Answers
Respuesta:
2/9
Explicación paso a paso:
Dado que :
tarjeta numerada = 1 - 15
Probabilidad de obtener un número no menor o igual a 5
Número de cartas no menor o igual a 5:
Tarjeta no ≤ 5 = (6,7,8,9,10,11,12,13,14,15) = 10
Probabilidad = resultado requerido / Total de resultados posibles
P (Tarjeta no ≤ 5) = 10/15 = 2/3
Número de cartas menor o igual a 5:
Tarjetas ≤ 5 = 1, 2, 3, 4, 5
P (Tarjeta ≤ 5) = 5/15 = 1/3
P (Tarjeta no ≤ 5) * P (Tarjeta ≤ 5)
2/3 * 1/3 = 2/9
Calcularemos la probabilidad del evento combinado para obtener: P = 0.22
Calculando las probabilidades individuales:La probabilidad de sacar una carta menor o igual a 5 es igual al cociente entre el numero de cartas con un número menor o igual a 5 y el número total de cartas en el mazo.
Tenemos 5 cartas con un número igual o menor a 5 y un total de 15 cartas, así que la probabilidad es:
p = 5/15
La probabilidad de que no le salga una carta menor o igual a 5 es calculada de la misma forma, hay 10 cartas que no son menores o iguales a 5 y un total de 15 cartas, entonces tenemos:
q = 10/15
La probabilidad conjunta es simplemente el producto de esas dos probabilidades, así obtenemos:
P = (10/15)*(5/15) = 10/45 = 0.22
Sí quieres aprender más sobre probabilidad, puedes leer:
https://brainly.com/question/21755457
What is the rate of change of the function y - 6x + 3?
Answers
Answer:
6
i think the - was meant to be an = instead of -
Step-by-step explanation:
rate of change is the same as slope
that is slope-intercept form.
y=mx+b
m is slope
slope= 6
Answer:
The rate of change is 6
Step-by-step explanation:
Set the equation equal to 0:
y-6x+3=0
Now solve for y because we want the equation in y=mx+b form where m is the rate
Subtract 3:
y-6x=-3
add 6x
y=6x-3
Now in y=mx+b form
m would equal 6
Square has a perimeter of 76 Cm how long is each side?
Answers
Answer is 19
Label 1/4 on the number line. Label 1/2 on the number line .
Answers
Answer:
it goes 0 then 1/4 in the first notch 1/2 in the second notch 3/4 in the third notch then the number 1 on the fourth
Step-by-step explanation:
Hope that helps.
Find the volume of a right circular cone that has a height of 5.1 ft and a base with a diameter of 15.4 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
V = 419.459168
Step-by-step explanation:
hope this helps
9514 1404 393
Answer:
316.7 ft³
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
Here, the radius (r) is half the diameter, so is 7.7 ft. Then the volume is ...
V = 1/3π(7.7 ft)²(5.1 ft) = 100.793π ft³ ≈ 316.6505 ft³
The volume of the cone is about 316.7 cubic feet.
_____
If you use the inappropriate value 3.14 for π, your answer will be 316.5 ft³.
Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $263.25
Enter an equation to model the relationship between the number of hours worked h and the amount earned e
The equation is:
Answers
Answer:
$9.75h=e-$263.25
Step-by-step explanation:
plz help first right gets brainly
Answers
Answer:
D, see attachment
Step-by-step explanation:
An equation with a squared symbol (²) will never be linear. You can also graph these lines to be sure.
The attachment shows each of these graphed.
Red line- A
Orange line- B
Green line- C
Purple line- D
Line D is nonlinear, so the answer is D.
I need to increase the numbers of customers I talk to daily by 20% how many customers do I need to talk to if I talk to a average of 8 customers per hour during an 8 hour shift
Answers
Answer:
77 approx
Step-by-step explanation:
Given data
Number of customers talked to per hour= 8
Hence for 8 hours(a day) the number of customers talked to = 8*8= 64
We want to first find 20% of 64
=20/100*64
=0.2*64
=12.8
Hence the number of customers will be
=12.8+64
=76.8
=77 approx
my final balance after 48 months was $869. If I originally put $800 into the bank what was the interest rate
Answers
Answer: 1.4375 percent
Step-by-step explanation:
69/48 = 1.4375 percent.
(if its incorrect I'm sorry)
Use <, >, or = to compare the following decimals.
(a) 6.37 |?| 2.68
(b) 0.1 |?| 0.04
(0) 7.7 |?| 7.70
Answers
Answer:
A is >
B is >
C is =
I hope this helps you.
Evaluate the following Piecewise Function.
Please sturggeling
Answers
Answer:
[tex]f(0)=4[/tex]
[tex]f(6) = 8[/tex]
Step-by-step explanation:
Given
The piece wise function
Solving (a): f(0)
To solve for f(0), we make use of:
[tex]f(x) = x + 4[/tex]
Because: the inequality [tex]x < 5[/tex] satisfies x = 0
i.e: [tex]0 < 5[/tex]
So, we have:
[tex]f(x) = x + 4[/tex]
[tex]f(0)=0 + 4[/tex]
[tex]f(0)=4[/tex]
Solving (b): f(6)
To solve for f(6), we make use of:
[tex]f(x) = 8[/tex]
Because: the inequality [tex]5 \le x < 7[/tex] satisfies x = 6
i.e: [tex]5 \le 6 < 7[/tex]
So, we have:
[tex]f(6) = 8[/tex]
In the following diagram,
ℓ
∥
m
.
Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.
Answers
Answer:
w = 94 degrees
x = 105 degrees
y = 75 degrees
z = 86 degrees
Step-by-step explanation:
The 75 degree angle + x = 180 degrees, because together they form straight line. They are supplementary angles.
180 - x = 75
x = 105 degrees
The 86 degree angle and z are equal, because they are vertical angles...they share a vertex. So z = 86 degrees
In some of the other problems we've looked at together, we've talked about corresponding angles. Angles in the same position on the next parallel line, cut by a transversal. The angle right above x, where p intersects l, corresponds to y. I've called it Y' in the picture I'm attaching.
So if the 75 degree angle is equal to its vertical angle, Y', which is equal to its corresponding angle of y. y = 75 degrees
Using all of what's here about supplementary angles and corresponding angles, you know that the two angles in the z/86 degree area are 94 degrees. (180 - 86 = 94) Which means w and its vertical angle are also 94 degrees. w = 94 degrees.
I'm sorry this is so wordy. I don't want it to be confusing for you. I am hoping I can help you understand enough so these problems don't stress you out :) I have circled vertical angle pairs (about half of them) in pink. I have circled the supplemental angle pairs (about half of them) in purple.
1. 80% of the students on a field trip love the movie. If there are a total of 50 students on the field trip, how many love the movie?
Answers
Answer:
40 students
Step-by-step explanation:
A helpful tip I use is x% of y= y% of x
For example, 50% of 80 is 40
Boom
Select all the properties of a right triangle.
A. Has a right angle
B. Has one obtuse angle
C. Has parallel lines
D. Has perpendicular lines
E. Has three acute angles
help pleasee no links!!
Answers
EXPLANATION:
A right triangle has 2 acute angles and one right angle.
So It
DOES have a right angle
DOES NOT have an obtuse angle
DOES NOT have parallel lines
because Parallel means that the lines dont meet anywhere.
In this scenario All lines meet
DOES have perpendicular lines
Because they intersect
DOES NOT have three acute angles
:)
5 The table shows the linear relationship between the average height in feet of trees on a tree
farm and the number of years since the trees were planted.
Average Tree Height
Number of Years Since
1 3
the Trees Were Planted
6
11
15
Average Height (ft)
10
24
45
80
108
What is the rate of change of the average height in feet of the trees on the farm with respect
to the number of years since the trees were planted?
A 14 ft/yr
B 3 ft/yr
C 7 ftyr
D 10 ft/yr
Answers
Answer:7ft
Step-by-step explanation:
Which of the following is not a solution of the equation y=3x−4 ?
(2, 2)
(0, -4)
(4, 8)
(-1, -1)
Answers
Answer:
(-1, -1) is not a solution to the system
Step-by-step explanation:
Y = 3x - 4. Substitute the points for x and y
2 = 3(2) - 4
2 = 2 solution
y = 3x - 4
-4 = 3(0) - 4
-4 = -4 solution
y = 3x - 4
8 = 3(4) - 4
8 = 8 solution
y = 3x - 4
-1 = 3(-1) - 4
-1 = -7 not solution
Which statement best describes whether the function is linear or nonlinear?
Answers
Answer:
Is nonlinear because the common ratio is 3
Step-by-step explanation:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Now to this problem, if the data corresponds to a linear equation, then for any set of points we choose we should see the same slope.
For example, if we choose the first and second points:
(0,20) and (1, 60) the slope is:
a = (60 - 20)/(1 - 0) = 40/1 = 40
a = 40
Now if we choose the first and third points:
(0, 20) and (2, 180)
The slope is:
a = (180 - 20)/(2 - 0) = (160/2) = 80
So the slopes are different, which means that this function is nonlinear.
If we look at the f(x) values for the second point onwards, we can see that:
f(2) = 60
f(3) = 60*3 = 180
f(4) = 180*3 = 540
f(5) = 540*3 = 1620
and so on.
So this seems to be an exponential function with a common ratio of 3 between consecutive outputs.
Having a common ratio is not a property of linear functions, then the correct options is:
"Is nonlinear because the common ratio is 3"
Is urgent What is the equation of the line, in point-slope form, that goes through (2, -1)
and is perpendicular to y = 5x + 3?
A. Y+ 1 = 5(x - 2)
O B. y-1--5(x-2)
C. »+1-- *(x-2)
O D. v-2-- }(x+1)
Answers
Answer:
c. y + 1 = -⅕(x - 2)
Step-by-step explanation:
To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.
The equation would be in the form of y - b = m(x - a).
(a, b) = (2, -1)
Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕
m = -⅕.
Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).
Thus:
y - (-1) = -⅕(x - 2)
y + 1 = -⅕(x - 2)
Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, about how many pounds of hot dogs is he buying?
Answers
Answer:
7.5 OR 8 (Depending on whether you are rounding or not)
Step-by-step explanation:
30 x 4 = 120 oz
120 oz to pounds is 7.5 but if you are rounding then its 8.
16 oz= 1 lb
120/16=7.5 lb
He is buying 7.5 lbs of hot dogs.
