Hey there! :)
Answer:
x = 242 mm.
Step-by-step explanation:
Begin by setting up a proportion between the actual college building and the drawing.
[tex]\frac{22mm}{9m} = \frac{x}{99m}[/tex]
Cross multiply:
99 × 22 = 9 × x
2178 = 9x
Divide both sides by 9:
2178/9 = 9x/9
x = 242 mm.
Solve the inequality 5(2h + 8) < 60
Step-by-step explanation:
5(2h+8) <60
10h +40< 60
10h + 40-40 < 60-40
10h < 20
10h/10 < 20/10
h < 2
Select the correct answer. The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order? City Altitude (feet) Snowvale 13 Highbridge 58 Westsilver -51 Springmoor -35 A. 58, 13, -35, -51 B. -51, -35, 13, 58 C. -35, -51, 13, 58 D. 58, 13, -51, -35
Answer:
58>13>-35>-51, so A is correct.
Step-by-step explanation:
Altitude of Snowvale: 13
Altitude of Highbridge: 58
Altitude of Westsilver: -51
Altitude of Springmoor: -35
Decreasing order means from greatest to least.
Obviously, positive numbers are greater than negative numbers, so we put the positive numbers first. 58>13>-35>-51.
(Note that with negatives, a greater number is a number closer to zero!)
Answer:
A
Step-by-step explanation:
The altitudes have to be arranged in decreasing order.
58 > 13 > -35 > -51
78÷4 68÷7 98÷6
Answer me fast
Answer:
78/4=19.5, 68/7=9.71, 98/6=16.3
Step-by-step explanation:
Will get lots of points!! Thank you!! Trigonometry
Answer:
Angle B = 75 degrees
AC = 35.7
BC = 9.6
Step-by-step explanation:
Angle A = 15 degrees (given)
Angle C = 90 degrees (given)
c = 37 (given)
Angle B = 90-15 = 75 degrees
AC = AB cos(A) = 37 cos(15) = 35.7
BC = AB sin(A) = 37 sin(15) = 9.6
Dustin is riding his bike from Logan, Utah to Jackson Hole, Wyoming in a bike race. He must ride at least 200 miles before he will complete the course. He has already biked 5634 miles. If he can bike roughly 1858 mph, how many more hours will it take him to finish biking at least 200 miles? Round your answer to the nearest whole number of hours.
Answer:
to the nearest hundreths or any one
Step-by-step explanation:
i mark brainliest for all my questions that are answered right :) thx for helping me
Approximate 5.7255 to the nearest thousandth
Answer:
5.726
Step-by-step explanation:
First, find the thousandths place value. Note the place values:
5 (one's place value)
.
7 (tenth's place value)
2 (hundredth's place value)
5 (thousandth's place value)
5 (ten thousandth's place value)
Find the thousandths place value. Look at the number located directly next to it (ten thousandth's place value).
Note that:
If the number is 4 or less, round down.If the number is 5 or greater, round up.Since the number is 5, round up.
5.7255 rounded to the nearest thousandths place value is 5.726
~
Combine the like terms to create an equivalent expression: -n+(-3)+3n+5
Answer: 2n+2
Step-by-step explanation:
1. Remove the parentheses
-n-3+3n+5
2. Collect like terms
2n-3+5
3. Calculate the sum
2n+2
I need help with finding the surface area of the prism
Answer:May be 12
Step-by-step explanation:
Answer: The surface area of the rectangular prism is 114 cm^2.
Step-by-step explanation:
1) Formula: A = 2wl + 2lh + 2hw
( W=width, l= length, h=height)
2) Plug it in: A=2(3)(8) + 2(8)(3) + 2(3)(3)
3) A= 2( 24) + 2(24) + 2(9)
4) A= 48+ 48+ 18= 114
6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1
Answer:
111111 [tex]\times[/tex] 1111110 is the simple expression.
Step-by-step explanation:
The expression to be solved:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex]
First of all, let us solve the first term:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111[/tex]
Now, the right term:
[tex]\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111[/tex]
So, the expression to be solved becomes:
[tex]1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110[/tex]
Please help ! ;v; A coordinate plane is shown. A line passes through the point (-4,1) and through the y-axis at 4. What is the y-intercept of the line shown?
Answer:
(0, 4)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).
help me pls!! Ill so grateful!! TYSM!
Answer:
Hey there!
We want to change the equation for each line into slope intercept form, or y=mx+b form.
Luckily, the first one is already in slope intercept form.
The second line can be converted to: y=-3/4x-7/4.
The third line can be converted to: -8y=-6x+4, or y=3/4x-1/2
Line one and line two are neither perpendicular or parallel.
Line one and line three are perpendicular.
Lines two and three are neither perpendicular or parallel.
This is because parallel lines have same slope, and perpendicular lines have opposite reciprocal slopes.
Hope this helps :)
Answer:
Line 1 and Line 2: Neither
Line 1 and Line 3: Perpendicular
Line 2 and Line 3: Neither
Step-by-step explanation:
To make the answering process easier, begin by converting each formula into the format y = mx +b:
Line 1: y = -4/3x + 1 (already in format)
Line 2:
-4y = 3x + 7
Divide all terms by -4:
y = -3/4x - 7/4
Line 3:
6x - 8y = 4
Subtract both sides by 6x:
-8y = -6x + 4
Divide all terms by -8:
y = 3/4x - 1/2
We can determine the relationships of the lines:
Line 1 and Line 2: Neither. They do not have the same slope, and they are not opposite reciprocals of each other.
Line 1 and Line 3: Perpendicular. The slopes of each line are opposite reciprocals: (-4/3 and 3/4)
Line 2 and Line 3: Neither. The slopes are the same but one is negative.
Match each power of a power expression with its simplified expression.
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
Here, we want to match what we have on the left with the expressions on the right.
(-4^9)^2
= -4^18
(4^6)^-3
= 4^-18 = 1/4^18 according to laws of indices
(4^0)^-9 = 4^0
(4^-3)^-3
= 4^9
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?
Answer:
"descends"
Step-by-step explanation:
(just had the same question).
Helppp!!!! please!!!
Shape s is below is exactly one quarter of solid sphere.The volume of the shape s is 1994πcm^2. Find the surface area of s.
Answer: 1035 cm^2
Step-by-step explanation:
Given that the shape s is exactly one quarter of solid sphere.
Where the volume of the shape s is 1994πcm^3.
The formula for volume of a sphere is
V = 4/3πr^3
The volume will be divided by 4 since the given solid is exactly quarter of solid sphere. Then equate it to the given value
1994π = 4/3πr^3 × 1/4
The π will cancel out
1994 = r^3/3
Cross multiply
5982 = r^3
r = cube root of 5982
r = 18.2 cm
The surface area of a sphere is
A = 4πr^2
Substitute r in the formula
A = 4× π × 18.2^2
A = 4141
Since the shape is exactly one quarter of solid sphere. Divide the answer by 4
A = 4141/4
A = 1035.3 cm^2
The surface area of s is therefore 1035.3 cm^2
The surface area of the shape s is approximately 329.53 cm².
Important information:
Shape s is exactly one-quarter of a solid sphere.The volume of the shape s is 1994π cm².Sphere:Volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The volume of one-quarter of a solid sphere is 1994π cm².
[tex]1994\pi=\dfrac{1}{4}\times \dfrac{4}{3}\pi r^3[/tex]
[tex]1994\pi=\dfrac{1}{3}\pi r^3[/tex]
[tex]\dfrac{1994\pi\times 3}{\pi}=r^3[/tex]
[tex]5982=r^3[/tex]
Taking cube root on both sides, we get
[tex]\sqrt[3]{5982}=r[/tex]
[tex]r\approx 18.153[/tex]
Surface area of a sphere is:
[tex]S=4\pi r^2[/tex]
Surface area of one quarter of solid sphere is:
[tex]S=\pi r^2[/tex]
[tex]S=\pi (18.153)^2[/tex]
[tex]S=329.5314\pi[/tex]
[tex]S\approx 329.53\pi[/tex]
Therefore, the surface area of the shape s is 329.53 cm².
Find out more about 'Sphere' here:
https://brainly.com/question/16415229
HELP ME PLEASE PLEASE IM BEGGING
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)
Simplify: |3r−15| if r<5
Answer:
[tex]|3r-15| = -3r+15[/tex] if [tex]r<5[/tex]
Step-by-step explanation:
Given that:
r < 5
To simplify:
|3r−15|
Solution:
First of all, let us learn about Modulus function:
[tex]f(x) =|x| =\left \{ {x, \ if\ {x>0} \atop -x\ if\ {x<0}} \right.[/tex]
In other words, we can say:
Modulus function has a role to make its contents positive.
If the contents are positive, the result will be equal to its contents only.
If the contents are negative, it will add a negative sign to the contents to make it positive.
Now, let us consider the given condition:
[tex]r < 5[/tex]
Multiply both sides with 3. (As 3 is a positive number, the equality sign will not change.)
[tex]3r < 15[/tex]
Subtracting 15 from both sides:
[tex]3r-15<15-15\\\Rightarrow 3r-15<0[/tex]
Now, we know that [tex]3r-15<0[/tex], let us use the definition of Modulus function.
Add a negative sign to the contents because the contents are already negative.
[tex]\\\Rightarrow |3r-15| = -(3r-15)\\\Rightarrow -3r+15[/tex]
So, the answer is:
[tex]|3r-15| = -3r+15[/tex] if [tex]r<5[/tex]
simplify 1/2 -1/4+1 1/2
Answer: 1 3/4
Step-by-step explanation:
Step 1: Subtraction
1/4+1 1/2
Step 2: Addition
1 3/4
Hope it helps <3
Answer:
1 3/4
Step-by-step explanation:
Simplify 1/2 -1/4+1 1/2
1/2 - 1/4 + 1 1/2 =
= 2/4 - 1/4 + 1 2/4
= 1/4 + 1 2/4
= 1 3/4
Just tell me the steps, not the answer please. This diagram shows the aerial view of a playground. What is the area of the playground to the nearest square yard? Use the value = 3.14.
Area of the circle = π * (35 yd)^2
Let A be the area of the sector subtended by a central angle measuring 80º. Then
A / (π * (35 yd)^2) = 80º / 360º ==> A = 2450π/9 yd^2 ≈ 854.78 yd^2
Subtract from A the area of the triangle, whose base has length 45 yd and with height 25 yd:
A - 1/2 * (45 yd) * (25 yd) ≈ 292.28 yd^2
This is the area of the missing circular segment.
Then the area of the playground is equal to the area of the circle minus this area,
π * (35 yd)^2 - 292.28 yd^2 ≈ 3554 yd^2
If x∝y and x=24 when y = 8. Find x when y = 16
3 points
Answer:
x= 48
Step-by-step explanation:
x∝ y
x= ky
24= 8k
k= 3
Now solve for x
x= ky
x= 3x 26
x= 48
I hope it helped
Some one HELP PLEASE
THE ANSWER IS NOT 40,5 20 -20
Answer:
x = 20
Step-by-step explanation:
If AE is a bisector then it divides the angle in half
BAE = EAC
x+30 = 3x-10
Subtract x from each side
30 = 2x-10
Add 10 to each side
40 = 2x
Divide by 2
40/2 =2x/2
20 =x
Please answer this question now in two minutes
Answer: x=6, y=20
Step-by-step explanation:
Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.
y=2y-20 [subtract both sides by 2y]
-y=-20 [divide both sides by -1]
y=20
--------------------------------------------------------------------------------------
3x+32=9x-4 [add both sides by 4, and subtract both sides by 3x]
36=6x [divide both sides by 6]
x=6
Help!!!!! please!!!!!
I have the olaf needs a total of 3 cups of sugar to make 4 cakes. write and solve an equation to find the number of cups of sugar he needs for each cake. which number line shows of cups of sugar olaf needs for each cake, Wheres 3/4 cups?
Answer: 3/4 cups per cake.
Step-by-step explanation:
He needs 3 cups for 4 cakes.
Then, if you want to know the amount that he needs for each cake, you need to see the quotient between the number of cups and the number of cakes:
S = 3cups/4 cakes = (3/4) cups per cake.
In the number line, 3/4 will be:
0--I--I--(here)--1--I--I--I--2
6 • 14 - (9 + 8) 2 =
Answer:
50
Step-by-step explanation:
For this question you would follow the BIDMAS rule - (Brackets, Indices, Division, Multiplication, Addition, Subtraction.)
The first thing in this question you need to solve it (9 + 8)
we do this because, when we follow BIDMAS, the first rule is brackets
so, 9 + 8 = 17
The second step is to multiply, as this rule is second,
so, 17 x 2 = 34
Our final step is to solve the last bit, which is 6 x 14
and we know that 6 x 14 = 84
So now that we have 84 and 34, we need to subtract the two numbers as shown,
84 - 34 = 50
And this is how you get the answer 50
i hope this has helped you, please comment if you did not understand it and i will explain it in another way : )
Use pemdas
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Do parenthesis first: (9+8)=17
6x14-17x2
Then do multiplication
6x14=84 17x2=34
Now do subtraction
84-34=50
Therefore your answer is 50
#1 The area of a rectangular deck, in square meters, is given by the polynomial 40p^2 + 24p.
The deck is 8p meters wide
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.
#2 A cylinder has a volume of 200 mm^3 and a height of 17mm.
a) The volume formula for a cylinder is the equals v=(pi)r^2h. Isolate the variable for r in this formula.
b) using the equation where are you isolated r for part a, find the radius of the cylinder round your answer to the nearest hundredth.
PLEASE HELP even if you just answer #1 or #2 it would help i don’t have very much time.
Answer:
1.
a. 5p + 3
b. 26p + 6
2.
a r = (v ÷(pi)h)½
b. r = 3.74 to the nearest hundredth
Step-by-step explanation:
1.
Area of deck = 40p² + 24p
Width of deck = 8p
Area = length × width(breadth)
a. Area = length × width
40p² + 24p = length × 8p
Factorise out 8p from the left hand side
8p(5p + 3) = length × 8p
Divide both sides by 8p
5p + 3 = length
b Perimeter of deck = 2 (length + width)
"" = 2(5p+3 + 8p)
"" = 2 (13p + 3)
"" = 26p + 6
2.
Volume = 200 mm³
Height = 17mm
a. isolate the r in the equation v = (pi)r²h
v = (pi)r²h
Divide both sides by (pi)h
v ÷ (pi)h = r²
Take the square roots of both sides
(v ÷ (pi)h)½ = r
b. find r using your answer in a.
r = (v ÷ (pi)h)½
r = (200 ÷ ( 22/7 × 17))½
r = (200 ÷ 53.4286)
r = 3.7433
r = 3.74 to the nearest hundredth
James is contemplating an investment opportunity represented by the function A(t)=P(1.06)t, where P is the initial amount of the investment, and t is the time in years. If James invests $5000, what is the average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20?
Answer:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Step-by-step explanation:
Given that:
Initial Investment, P = $5000
Formula:
[tex]A(t) = P(1.06)t[/tex]
To find: If James invests $5000,
average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20=?
Solution:
First of all, let us find out A(15) and A(20):
Putting t = 15 first,
[tex]A(15) = 5000(1.06)\times 15 ....... (1)[/tex]
Putting t = 20,
[tex]A(20) = 5000(1.06)\times 20 ....... (2)[/tex]
Average rate of change / year is defined as:
[tex]\dfrac{\text{Change in value of A}}{\text{Number of years}}[/tex]
So, required rate of change:
[tex]\dfrac{A(20)-A(15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 20-5000 \times 1.06 \times 15}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times (20-15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 5}{5}\\\Rightarrow 5000 \times 1.06\\\Rightarrow \$5300\ per \ year[/tex]
So, the answer is:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
√12 a rational number or an integer?
Answer:
Square root of 12 is a interfering because it isn’t a perfect square.
Answer:
It is an integer.
Step-by-step explanation:
Integers are all types of numbers may it be negative or positive but rational numbers are positive and negative fractions or decimals. So √12 is an integer.
Hope this helps.
Numa caixa ha 8 bolas verdes ,5 bolas vermelhas e 2 bolas azuis. Tira se ao acaso uma bola da caixa. Calcula a probabilidade da bola saida ser: verde ; vermelho; azul : verde ou azul; nao verde
Responda:
P (verde) = 8/15
P (vermelho) = 1/3
P (azul)). 2/15
P (verde ou azul) = 2/3
P (não verde) = 7/15
Explicação passo a passo:
Dado o seguinte:
Número de bolas verdes = 8
Número de bolas vermelhas = 5
Número de bolas azuis = 2
N (verde) = 8
N (vermelho) = 5
N (azul) = 2
Portanto, número total de bolas;
N (total) = 8 + 5 + 2 = 15
Probabilidade = número de resultados requeridos / Total de resultados possíveis
1.) Probabilidade de escolher uma bola verde:
P (verde) = número de bolas verdes / número total de bolas
P (verde) = 8/15
2.) Probabilidade de pegar uma bola vermelha: P (vermelho) = número de bolas vermelhas / número total de bolas
P (vermelho) = 5/15 = 1/3
3) Probabilidade de pegar uma bola azul:
P (azul) = número de bolas azuis / número total de bolas
P (azul) = 2/15
4) probabilidade de verde ou azul:
P (verde ou azul) = P (verde) + p (azul)
P (verde ou azul) = 15/8 + 2/15 = 10/15 = 2/3
P (não verde) = 1 - P (verde)
P (não verde) = 1-8/15
P (não verde) = 7/15