Answer: [tex]20,706\ m^3[/tex]
Step-by-step explanation:
Given
The warehouse has the following dimension
Height is [tex]h=8\frac{1}{2}\ m[/tex]
[tex]h=\dfrac{17}{2}\ m[/tex]
Length is [tex]l=120\ m[/tex]
Width is [tex]w=20\frac{3}{10}\ m[/tex]
[tex]w=\dfrac{203}{10}\ m[/tex]
Volume of the warehouse is the product of height, length and width
[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]
Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].
Tanya has 130 ml of juice
Answer:
The answer is below
Step-by-step explanation:
A drink is made by adding water to juice.
Instructions
Add an amount of water that is between 3 times and 5 times the amount of juice
Tanya has 130 ml of juice.
If she follows the instructions, work out the minimum and maximum amounts
of the drink she can make.
Solution:
The minimum amount of water that can be added to the juice is 3 times the amount of the juice, hence:
Minimum amount of water = 3 * 130 ml of juice = 390 ml of water
Therefore minimum amount of drink = 390 ml of water + 130 ml of juice
minimum amount of drink = 520 ml
The maximum amount of water that can be added to the juice is 5 times the amount of the juice, hence:
Maximum amount of water = 5 * 130 ml of juice = 650 ml of water
Therefore maximum amount of drink = 650 ml of water + 130 ml of juice
Maximum amount of drink = 780 ml
Help me! PLEASE! help help help help help help help help help help help help!!!!!!
Sara's results probably do have a higher mean, if we take into account how William is way more willing to pay 20 dollars. Honestly, I think you got your chosen answers right! Just my opinion, as someone inexperienced.
what is the right answer
Answer:
[tex]8\sqrt{3}[/tex] [tex]\text{in.}[/tex]
Step-by-step explanation:
60 · 60 · 60
60³ = 180
Diameter - 8
3 sides, diameter 8 = answer.
Answer:
D) [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
[tex]x = \sqrt{8^{2} - 4^{2} } = \sqrt{48}= \sqrt{4*16}= 4\sqrt{3}[/tex]
20. Write an expression in simplest radical form to represent the area of the rectangle below.
I need a plain answer please, don't write a paragraph explaining, thank you.
Answer:
Just add them up and you will get this answer
Step-by-step explanation:
Just add them up and you will get this answer
The area of the given rectangle in simplest radical form is [tex]2x(\sqrt{10} + \sqrt{75})[/tex].
What is perimeter ?Perimeter is the sum of all the sides of any given 2D plane figure except circle.A circle has a perimeter or circumference of 2πr.
According to the given question we have to write an expression in simp[lest radical form that represents the area of the rectangle.
We know area of a rectangle is product of it's length and width.
Given length is = [tex]\sqrt{2x} + \sqrt{15x}[/tex] and width is = [tex]2\sqrt{5x}[/tex].
∴ The area of the rectangle will be = [tex](\sqrt{2x} + \sqrt{15x})[/tex][tex](2\sqrt{5x})[/tex] .
= [tex]2\sqrt{10x^2}[/tex] + [tex]2\sqrt{75x^2}[/tex].
= [tex]2x\sqrt{10} + 2x\sqrt{75}[/tex].
= [tex]2x(\sqrt{10} + \sqrt{75})[/tex].
learn more about rectangle here :
https://brainly.com/question/14207995
#SPJ2
Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.
Answer:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Step-by-step explanation:
Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:
[tex]\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:
[tex]a^2+b^2=c^2[/tex]
Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.
Substitute:
[tex](5)^2+b^2=(13)^2[/tex]
Solve for b:
[tex]b=\sqrt{169-25}=\sqrt{144}=12[/tex]
So, the opposite side measures 12.
Then sine will be:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
What is the difference from c(2,-1) to d(5,3) a.5 units b.25 units c. 1 unit d.
====================================================
Explanation:
The two points given are
C = (x1,y1) = (2,-1)
D = (x2,y2) = (5,3)
Use the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(2-5)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
The distance from C to D is 5 units. This is the same as saying segment CD is 5 units long.
PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1.009, 1.09, 1.7, 1.7082
Step-by-step explanation:
hope this helped.
The quantity of an element is decaying over time such that the amount of material at
any time is given by the function S(t) = 1000(0.9)3t. Write an equivalent function
of the form S(t) = abt.
Answer:
S(t) = 1000(0.729)^t
Step-by-step explanation:
S(t) = 1000(0.9)^(3t)
S(t) = 1000((.09)^(3))^t
S(t) = 1000(0.729)^t
Which expression is equivalent to 44+100 as the product of GCF and sum?
A.5(8+20)
B.4(40+96)
C.2(22+50)
D.4(11+25)
*explain how you got the answer!*
Answer:
C.
Step-by-step explanation:
First you solve the bracket...
(22+50)= 72
72×2=144
Answer:
the answer is D because it has to greatest factor
A (5(8+20)=40+100
B (4(40+96)=160+384
C (2(22+50)=44+100
D (4(11+25)=44+100
A pool was filled with 8.2 times 10 Superscript 3 gallons from one hose and 9.4 times 10 Superscript 3 gallons from another hose.
What is the total amount of water in the pool? Express the answer in scientific notation.
1.76 times 10 Superscript 2 gallons
17.6 times 10 Superscript 2 gallons
17.6 times 10 Superscript 3 gallons
1.76 times 10 Superscript 4 gallons
Answer:
1.76 x 10⁴ gallons
Step-by-step explanation:
8.2 x 10³ + 9.4 x 10³ = 17.6 x 10³
Although correct 17.6 x 10³ is not in scientific notation
which is
1.76 x 10⁴ gallons
Answer:
D.
Step-by-step explanation:
hank is studying a population of bacteria and notices that the bacteria population increases by 5% each hour. the function that represents that populations of bacteria has a constant percent of change. true or false
Answer:
True
Step-by-step explanation:
The population always grows by 5%, even though more bacteria are added with each hour. Each hour, due to exponential growth, the population size rises by 5%.
Grafique las siguientes funciones afines:
a) f (x) = x - 4
b) f (x) = 3x + 2
Answer:
below
Step-by-step explanation:
that is the procedure above
Answer plzzzzz and No links
Answer:
384 in^2
Step-by-step explanation:
Surface Area (or SA for short) formula:
SA=2lw+2lh+2hw
(l=length, w= width, h= height)
9*12=108*2=216
9*4=36*2=72
12*4=48*2=96
216+72+96=384
Answer:384 in^2
Hope this helps!
Which is the graph of y- 3 = -2/3(x + 6)?
Answer:
put points on (1.5, 0) and (0, -1), then draw a continuous line through them
Step-by-step explanation:
y - 3 = -2/3(x + 6)
y - 3 = (-2/3)x - 4
y = (-2/3)x - 1
0 = (-2/3)x - 1
1 = (-2/3)x
x = 3/2 = 1.5
y = (-2/3)(0) - 1
y = -1
What is the ratio of the circumference to the diameter is
Answer:
circle are all similar , and " the circumference divided by the diameter " produces the same value regardless of their radius . this value is the ratio of the circumference of a circle to it's diameter and called r (pi)Rotate triangle P 90° clockwise about the point (2, -1).
Answer:
Step-by-step explanation:
If we are rotating about the point (2,-1) , then we first need to translate the triangle two points to the left so that point P is at location (2,-1). Once we have that we rotate everything 90 degrees clockwise, while maintaining the same distance and angles between each point in the triangle. After doing this we will get the triangle seen in the attached picture below. Which is fully rotated 90 degrees clockwise about the point (2,-1)
Add. You will need to REDUCE your answer.
6 11/15 + 1 3/5
Answer:
7 14/20
Step-by-step explanation:
i hope na makatulong to sa inyo
For the pair of similar triangles, find the value of x.
Answer: The value of x is 184.
Step-by-step explanation:
According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.
Now calculating the value of x for the given pair of similar triangles.
According to the given figure:
24 × (2x - 8) = 45 × (x + 8)
(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)
48x - 192 = 45x + 360
48x - 45x = 360 + 192
3x = 552
x = 184
Thus, the value of x is 184.
A population of bacteria contains 150 bacteria in generation 1 and triples in
population every generation. This sequence represents the number of
bacteria for the first few generations:
Wait, is this a question?
150
450
1,350
Sorry if that's not the question lol
Find csc 0, sin 0, and cot 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
PLZ HELP I BEEN STUCK FOR AN HOUR I WILL MARK BRAINLIEST!!!
Answers:
[tex]\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
=============================================
Explanation:
Before we can find the trig ratios, we need to determine the length of the missing side. Apply the pythagorean theorem
[tex]a^2+b^2 = c^2\\\\4^2+b^2 = 7^2\\\\16+b^2 = 49\\\\b^2 = 49-16\\\\b^2 = 33\\\\b = \sqrt{33}[/tex]
The vertical side is [tex]\sqrt{33}[/tex] units long.
------------------------------------
The side we just found is the opposite side to angle [tex]\theta[/tex] (greek letter theta)
The hypotenuse is 7 units long. The hypotenuse is always opposite the right angle.
Divide the hypotenuse over opposite to get the cosecant.
[tex]\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{7}{\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33*33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33^2}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\[/tex]
Note: In the third step, I multiplied top and bottom by sqrt(33) to rationalize the denominator.
------------------------------------
Recall that sine is the reciprocal of cosecant, and vice versa.
So we'll use the same idea as before, but flip the original fraction.
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\[/tex]
The denominator is already a rational number, so there's not much else to do here.
--------------------------------------
Cotangent is the ratio of adjacent over opposite
[tex]\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{4}{\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33*33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33^2}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
The steps are pretty much nearly identical as the section involving csc, except we're using the adjacent in place of the hypotenuse (so that means we use 4 in place of 7).
please help me I will mark as a brainliest
Answer:
think that this might help you
What is the value of f(1)?
A. 0
B. 1
C. 2
D. 4
Answer:
The value of f(1) is A. 0
Step-by-step explanation:
In this question, when they ask what is the value of f(1), they want you to tell them what is the "y" coordinate of the point with the "x" coordinate equal to 1. In our case, the point with the "x" coordinate equal to 1 has the "y" coordinate equal to 0. Therefore, the value of f(1) is A. 0
Bryon is solving the equation 22 - 6x = 15. He gets to 7 = 62. Is this a valid way to solve the equation?
Answer:
No
Step-by-step explanation:
22 - 6x = 15
subtract 22 from both sides
-6x = -7
divide both sides by -6
x = 7/6 or 1 1/6
VWX and TUX are equilateral complete proof that UV = TW
Answer:
6. Side Angle Side (SAS)
7. Definition of congruence
Step-by-step explanation:
With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:
Statement Reason
1. ΔVWX is equilateral Given
2. ΔTUX is equilateral Given
3. VX ≅ WX Definition of equilateral triangle
4. TX ≅ UX Definition of equilateral triangle
5. <TXW ≅ <UXV Vertical Angle Theorem
6. ΔTWX ≅ ΔUVX Side Angle Side (SAS)
7. UV ≅TW Definition of congruence
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 135°
Step-by-step explanation:
4 sides and the diagonal are the same.
Therefore, it is square with each interior angle = 90°
The diagonal bisects the interior angle to 45° , 45°
x + 45° = 180° [ straight line angle ]
x = 180 - 45 = 135°
Identify the diameter of the circle. Then find the circumference. Round to two decimal places. (C = 2*pi*r)
Answer:
diameter=22
circumference=22pi
Step-by-step explanation:
diameter=2*radius
so 2*11=22
circumference=2pi*r
=2*11*pi
=22pi
2.) Write the probability as a fraction in simplest form. P (consonant) *
5 points
B
A
С
F.
D
1/6
2/3
Ο Ο Ο Ο
0.75
2
Answer:
2/3
Step-by-step explanation:
You have 6 letters, and 4 of them are consonants, so:
4/6 simplify it by 2:
2/3
Answer:
1/6
Step-by-step explanation:
[tex] \frac{4}{6} \times \frac{1}{4} [/tex]
How many and what type of solutions does 7x^2−4x+3 have?
1. 1 rational solution
2. 2 rational solutions
3. 2 irrational solutions
4. 2 nonreal solutions
Answer:
4. 2 nonreal solutions.
Step-by-step explanation:
We need to use discriminant,
for ax²+bx+c=0
The discriminat is b²-4ac
If the discriminant is,
→ less than 0, then 0 real solutions
→ equal to 0, then 1 real solutions
→ more than 0, then 2 real solutions
Given that,
7x²-4x+3=0
a=7, b=-4, and c=3
→ (-4)²-4(7)(3)
→ 16-84
→ -68
You can see this is less than 0, then non real solutions. [2 nonreal solutions]
I need the answer for the problem that’s above done can someone help? please.
WILL MARK BRAINLIEST
solve for x: m(2m-x)=3(x+6) if m≠3
Answer:
x=2m−6
Step-by-step explanation: