Answers
Answer:
120 m
Step-by-step explanation:
To find the volume of the prism on the bottom, multiply length times height times width
3x3x12=108
next is the pyramid on top.
Formula is V=bh x 1/2
8, the height, times 3, the base, = 24
24x 1/2 or 24/2 = 12
108+12= 120
120 m
Related Questions
What is the answer? How to solve?
Answers
Answer:
a +73°=90°
a= 90°-73°
a =17°
d+18°=90°
d=90°-18°
d =72 °
Quick! HELP! THANK YOU SO MUCH!
If the difference between the interior and exterior angles of a regular polygon is 100°, how many sides does the polygon have?
Answers
Answer:
9 sides
Step-by-step explanation:
Sum of the measures of the interior angle of a polygon with n sides:
(n - 2)180
Measure of 1 interior angle of a regular polygon of n sides:
(n - 2)180/n
Sum of the measures of the exterior angles of a polygon, one per vertex:
360
Measure of 1 exterior angle of a regular polygon of n sides:
360/n
(n - 2)180/n = 360/n + 100
Multiply both sides by n.
(n - 2)180 = 360 + 100n
Distribute on left side.
180n - 360 = 360 + 100n
Subtract 100n from both sides.
80n - 360 = 360
Add 360 to both sides.
80n = 720
Divide both sides by 80.
n = 9
Answer: 9 sides
Make p the subject of this formulae q-2p=p+4
Answers
Answer:
f(p)=3p+4
Explanation:
An airplane from Singapore to Melbourne takes about 7 1/2 hours to cover a distance of 6057 km. What is the average speed of the airplane.
Answers
Answer: 13.46 km/h
Step-by-step explanation:
7 1/2 hr= 450 min
6057/450= 13.46
Problema 6 Descompongan los siguientes números en factores primos. ¿Es posible encontrar, para cada número, más de una descomposición en factores primos? a. 42 b. 31 c. 36 d. 45
Answers
Answer:
a: 42 = 2*3*7
b: 31 = 31*1
c: 36 = 2*2*3*3
d: 45 = 3*3*5
Cada descomposición es unica.
Step-by-step explanation:
Sabemos que todo número entero puede ser reescrito como un producto de números primos.
Esta descomposición es única, dado que una vez tenemos un número escrito como producto de primos, esos números primos no pueden descomponerse en otra cosa, por lo que se concluye que una descomposición en primos es única.
a: 42
Para obtener la descomposición, podemos comenzar dividiendo por primos, comenzando por los más bajos.
En este caso, podemos comenzar por 2:
42/2 = 21
asi, podemos reescribir:
42 = 2*21
Ahora ya tenemos un factor que es primo, el 2, y un factor que no lo es, el 21.
Asi que debemos reescribir el 21 como producto de primos.
Y sabemos que 3*7 = 21, donde ambos 3 y 7 son primos, entonces:
42 = 2*21 = 2*3*7
42 = 2*3*7
así hemos reescrito 42 como un producto entre números primos.
b. 31
31 es un número primo, por lo que su descomposición es:
31 = 31*1
c. 36
Comenzamos dividiendo por 2.
36/2 = 18
36 = 2*18
Volvemos a dividir por 2 el 18.
18/2 = 9
18 = 2*9
reemplazando eso en nuestra descomposición obtenemos:
36 = 2*18 = 2*2*9
9 es impar así que no podemos dividir por 2, pasamos al próximo número primo, el 3.
9/3 = 3
9 = 3*3
Reemplazando eso, obtenemos:
36 = 2*2*3*3
d. 45
no podemos dividir por 2, puesto que es un número impar, así que pasamos al próximo primo, el 3.
45/3 = 15
45 = 3*15
Ahora descompongamos el 15.
15/3 = 5
15 = 3*5 (notar que 3 y 5 son primos)
Reemplazando eso, obtenemos:
45 = 3*15 = 3*3*5
45 = 3*3*5
How do I do this question
Answers
Answer:
Step-by-step explanation:
Join OB.
∠A=∠A (common)
[tex]\frac{AP}{AO} =\frac{\frac{1}{2} AO}{AO} =\frac{1}{2} \\\frac{AQ}{AB} =\frac{\frac{1}{2} AB}{AB} =\frac{1}{2} \\\frac{AP}{AO} =\frac{AQ}{AB}[/tex]
∴ ΔAPO and ΔAOB are similar.
[tex]\frac{PQ}{OB} =\frac{1}{2} \\[/tex]
∠P=∠O
∠Q=∠B
So PQ║OB
Similarly RS║OB
∴PQ║RS
WILL MARK BRAINLIEST
picture included^^^^
need help asap please n thank you!
^^^^
Answers
Answer:
14
Step-by-step explanation:
The a value is from the center to the maximum
We want from minimum to max so we need 2 times the amplitude
a = 7
2 *7 = 14
The circle centered at $(2,-1)$ and with radius $4$ intersects the circle centered at $(2,5)$ and with radius $\sqrt{10}$ at two points $A$ and $B$. Find $(AB)^2$.
Answers
The first circle has equation
(x - 2)² + (y + 1)² = 4²
and the second has equation
(x - 2)² + (y - 5)² = (√10)²
Solve for (x - 2)² :
(x - 2)² + (y + 1)² = 4² ==> (x - 2)² = 16 - (y + 1)²
(x - 2)² + (y - 5)² = (√10)² ==> (x - 2)² = 10 - (y - 5)²
Then
16 - (y + 1)² = 10 - (y - 5)²
16 - (y ² + 2y + 1) = 10 - (y ² - 10y + 25)
15 - 2y - y ² = -15 + 10y - y ²
30 - 12y = 0
12y = 30
y = 30/12 = 5/2
(this is the y coordinate of A and B)
Then solve for x :
(x - 2)² = 16 - (5/2 + 1)²
(x - 2)² = 15/4
x - 2 = ± √(15/4) = ±√15/2
x = 2 ± √15/2
(these are the x coordinates for either A or B)
The intersections are the points A = (2 - √15/2, 5/2) and B = (2 + √15/2, 5/2). We want to find the squared distance between them:
(AB)² = [(2 - √15/2) - (2 + √15/2)]² + (5/2 - 5/2)²
(AB)² = (-√15)² + 0²
(AB)² = 15
help me pleaseeeeeeee!!!!!!!!
Answers
Answer:
8
Step-by-step explanation:
Using the chord chord theorem
10(4) = 5x
Solve for x
Simplify multiplication
40 = 5x
Divide both sides by 5
40/5 = 8
5x/5 = x
We're left with x = 8
Note:
Chord chord theorem states that if two chords intersect then the product of the measures of each part of one chord is equal to the product of the measures of the parts of the other chord.
Because the chords shown intersect the product of the parts of each chord should be equal to each other ( 4 * 10 = 5x )
Source: https://www.dummies.com/education/math/geometry/how-to-use-the-chord-chord-power-theorem
last question pls answer
Answers
Answer:
30 min
Step-by-step explanation:
60 divided by 20= 30min
A survey was done that asked students to indicate whether they enjoy reading or playing video games.
What is the ratio of those who do not enjoy reading and those who do not enjoy playing video games?
Enter your answer, in simplified form without using decimals, in the boxes.
please help me :D
Answers
Answer:
9 to 3
Step-by-step explanation:
Those who don't enjoy reading: 8+1=9
Those who don't enjoy playing video games: 1+2=3
Ratio is 9 to 3.
3. Rita is applying for a job as an engineer. Hier starting salary at Company will be $30,000 a $300 yearly
raise. Her starting salary at company will be $65.000 with a 5% increase sach year. If Rata is working at a
company for 5 years. Which company should she pick?
Answers
Answer:
The 65,000 salary
Step-by-step explanation:
Because the 30,000 salary after 5 years would be 31,500.
30,000+300=30,300
30,300+300=30,600
30,600+300=30,900
30,900+300=31,200
31,200+300=31,500
The 65,000 paying company
65,000x1.05=68,250
68,250x1.05=71.662.5
71,662.5x1.05=75,245.625
75,245.625x1.05=79,007.90625
79,007.90625x1.05=82,958.3015625
her salary after 5 years would be 82,958.3015625
help me with this...
Answers
Answer:
I think angle B is the longest and angle C is shortest.
If this is incorrect forgive me plz
Answer: See below
Step-by-step explanation:
How does the graph of g(x)=2⌈x⌉ differ from the graph of f(x)=⌈x⌉?
A) Multiplying by 2 compresses the graph of g(x)=2⌈x⌉vertically by a factor of 2.
B) Multiplying by 2 stretches the graph of g(x)=2⌈x⌉ vertically by a factor of 2.
C) Multiplying by 2 shifts the graph of g(x)=2⌈x⌉ up 2 units.
D) Multiplying by 2 shifts the graph of g(x)=2⌈x⌉ down 2 units.
Answers
Answer:
B is the Answer.
Step-by-step explanation:
A transformation of a function can be represented by
[tex]a(bx - h) + k[/tex]
where a is the vertical stretch or compression, b is the horizontal stretch or compression. H is the shift horizontally and k is the shift vertically.
The new function has a 2 instead of 1 on the orginally function. The function will stretch since 2 is greater than 1.
B is the answer.
Simplify each of the following:
a) root25 + root50 - root24 + root49
b) root2(2root8 – 3root32 + 4roor50)
Show your work
Answers
Answer:
a)
√25 + √50 - √24 + √49 =5 + 5√2 - 2√6 + 7 = 12 + 5√2 - 2√6b)
√2(2√8 – 3√32 + 4√50) =2√16 - 3√64 + 4√100 = 2*4 - 3*8 + 4*10 = 8 - 24 + 40 = 24Answer:
a.) 12 + 5√2 - 2√6
b.) 24
Step-by-step explanation:
a) √25 + √50 - √24 + √49
√25 + √50 - √24 + √49Calculate the square root .
5 + √50 - √24 + 7Simplify the radical expression.
5 + 5√2 - 2√6 + 7Combine like terms.
5 + 7 + 5√2 - 2√6 12 + 5√2 - 2√6b.) √2 ( 2√8 - 3√32 + 4√50 )
√2 ( 2√8 - 3√32 + 4√50 )Simplify the radical expression.
√2 ( 4√2 - 3 × 2²√2 + 20√2)Evaluate the power.
√2 ( 4√2 - 3 × 4√2 + 20√2)Calculate the products.
√2 ( 4√2 -12√2 + 20√2)Combine like terms.
√2 × (4 - 12 + 20 )√2√2 × 12 √ 2Multiply.
2 × 12 241. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. Find the speed of the particle
Answers
Answer:
[tex]v(t) = 2t - 5[/tex]
Step-by-step explanation:
Given
[tex]s(t) = t^2 - 5t + 1[/tex]
Required
The speed of the particle
To do this, we simply differentiate the position function
i.e.
[tex]v(t) = s'(t)[/tex]
So, we have:
[tex]s(t) = t^2 - 5t + 1[/tex]
Differentiate
[tex]s'(t) = 2t - 5 + 0[/tex]
[tex]s'(t) = 2t - 5[/tex]
So, the speed function is:
[tex]v(t) = 2t - 5[/tex]
Wages and salaries
Kelly earns a salary of $68 430 pa how much does he earn each week, each fortnight and each month?
Answers
Answer:
Each week = $ 1311.41
Each fortnight = $ 2622.84
Each month = $ 5702.5
Step-by-step explanation:
Given that,
Annual salary of Kelly = $ 68,430
As we know,
There are 52.18 weeks in a year.
So,
Weekly income = Annual salary ÷ no. of weeks in the year
= $ 68,430 ÷ 52.18
= $ 1311.42
Fortnight income = 2 * weekly income
= 2 * $ 1311.42
= $ 2622.84
Each month's income = Annual income ÷ 12(no. of months)
= $ 68,430 ÷ 12
= $ 5702.5
Pls help me this is my homework
Answers
Answer:
C) 840
C) 87
D) 3000-150n
Step-by-step explanation:
Answer:
c
c
d
Step-by-step explanation:
Mary is on the Barracudas swim team. Each practice, Mary has to swim a target number of laps. Today, Mary swam 34 laps before taking a snack break. She had 41 laps left to reach her target number after the snack break.
Answers
Answer:
75
Step-by-step explanation:
I'm assuming it is asking for how many laps does she need for her target because you haven't included the whole question.
34+41=75
Step-by-step explanation:
what is the question ?
just in case : I assume you want to know how many laps she had to swim overall today ?
you really need help with that ? you have no calculator ?
she needed to swim 34 + 41 = 75 laps.
Given the triangle below is m
A. 68.6
B. 82.8
C. 74.4
D. 80.6
Answers
Answer:
B. 82.8
Step-by-step explanation:
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the
object's height s at time t seconds after launch is s(t) = - 4.9t2 + 19.6t + 58.8, where s is in meters. Create a
table of values and graph the function. Approximately what is the maximum height that the object will get?
O 76.4 meters
113.5 meters
O 78.4 meters
58.8 meters
Answers
Answer:
Step-by-step explanation:
The easiest way to do this is to complete the square on the quadratic. This allows us to see what the vertex is and answer the question without having to plug in a ton of numbers to see what the max y value is. Completing the square will naturally put the equation into vertex form:
[tex]y=-a(x-h)^2+k[/tex] where h will be the time it takes to get to a height of k.
Begin by setting the quadratic equal to 0 and then moving over the constant, like this:
[tex]-4.9t^2+19.6t=-58.8[/tex] and the rule is that the leading coefficient has to be a 1. Ours is a -4.9 so we have to factor it out:
[tex]-4.9(t^2-4t)=-58.8[/tex] Now take half the linear term, square it, and add it to both sides. Our linear term is a -4, from -4t. Half of -4 is -2, and -2 squared is 4, so we add a 4 to both sides. BUT on the left we have that -4.9 out front there as a multiplier, so we ACTUALLY added on to the left was -4.9(4) which is -19.6:
[tex]-4.9(t^2-4t+4)=-58.8-19.6[/tex] and now we have to clean this up. The right side is easy, that is -78.4. The left side...not so much.
The reason we complete the square is to create a perfect square binomial, which is the [tex](x-h)^2[/tex] part from above. Completing the square does this naturally, now it's just up to us to write the binomial created during the process:
[tex]-4.9(t-2)^2=-78.4[/tex] Now, move the constant back over and set the equation back equal to y:
[tex]-4.9(t-2)^2+78.4=s(t)[/tex] and we see that the vertex is (2, 78.4). That means that 2 seconds after launch, the object reached its max height of 78.4 meters, the third choice down.
Albert, Imran and Siti invested $427000, $671000 and $305000 in a property respectively and they agreed to share the profitable n the ratio of their investments. After a few years, they sold the property for $1897500. Find the profit each of them received.
Answers
Answer:
1757200Step-by-step explanation:
42000+67000+305000=1403000(1897500-140300=1757200
The profit each of them received is $150500,$236500 and $107500
It is given that Albert, Imran and Siti invested $427000, $671000 and $305000 in a property respectively and they agreed to share the profitable n the ratio of their investments. After a few years, they sold the property for $1897500, we have to find the profit each of them received
What is Profit?
Profit= Selling Price - Cost price
Total Investment= $427000+$671000+$305000
=$1403000
Profit=$1897500-$1403000=$494500
Profit share=(Investment/Total Investment)*Total Profit
Albert Profit=($427000/$1403000)*$494500=$150500
Imran Profit=($671000/$1403000)*$494500=$236500
Siti Profit=($305000/$1403000)*$494500=$107500
Therefore profit each of them received is $150,500, $236500, $107500
To know more about profit click here:https://brainly.com/question/15036999
#SPJ2
Explainnnnnn help me please
Answers
Answer:
99cm²
Step-by-step explanation:
area for a triangle = 1/2 x b x h
area = 1/2 x 11 x 18
area = 99cm²
The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answers
Answer:
16.6
Step-by-step explanation:
The rectangle has an area of 105. It's width is 7.
1: Find the length
[tex]\frac{area}{width}[/tex]=length
[tex]\frac{105}{7}[/tex]= 15
Length=15
2: Pythagorean theorem
[tex]a^{2} +b^2=c^2[/tex]
[tex]7^{2}[/tex]+[tex]15^2=c^2[/tex]
49+225=[tex]c^2[/tex]
275=[tex]c^2[/tex]
[tex]\sqrt{275}[/tex] = [tex]\sqrt{c^2\\}[/tex]
16.55≈c
Rounded to nearest tenth
16.6
The quadratic formula can be used to solve any quadratic equation in standard form.
True or False
Answers
Answer:
True
Step-by-step explanation:
The quadratic formula can be applied to any quadratic equation in the form [tex]ax^2+bx+c=0[/tex] (standard form).
The quadratic formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
I hope this helps!
Answer:
its true
Step-by-step explanation:
can someone help me get the answer to this
Answers
Answer:
6=b
Switch sides
b=6
Answer:
a=10 and b=6
Step-by-step explanation:
it is in picture
Please mark me as brainliest
please solve this please
Answers
Answer:
3
Step-by-step explanation:
find the sum or difference of the polynomials. Write your answer in descending
order.(3x2 – 3x+6) - (5x2 + 2x + 9)
Answers
Answer:
-2x^2-5x-3
Step-by-step explanation:
(3x^2 – 3x+6) - (5x^2 + 2x + 9)
Distribute the minus sign
(3x^2 – 3x+6) - 5x^2 - 2x - 9
Combine like terms
3x^2 -5x^2 -3x-2x +6-9
-2x^2-5x-3
Just distribute the negative, then combine like terms.
What is the equation of the line of reflection? please help, due in 30 minutes!!!
Answers
Answer:
The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b.
Step-by-step explanation:
Answer:
The line of reflection in [tex]y=mx+b[/tex] form is [tex]y=\frac{1}{3} x-2[/tex]
Step-by-step explanation:
What is the tangent ratio of angle x?
tan x= 20/21
tan x= 21/29
tan x= 20/29
tan x= 21/20
Answers
Answer:
[tex]\tan x=21/20[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)
For angle [tex]x[/tex], its opposite side is 21 feet and its adjacent side is 20 feet. Therefore, we have:
[tex]\boxed{\tan x=21/20}[/tex]
