Answer:
Hence 27 cubes can be obtained.
Step-by-step explanation:
Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3
Volume of cube of side 6cm = 216cm^3
Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes
Work out the surface area of this solid prism.
25cm
17cm
15cm
30cm
28cm
The diagram is not drawn to scale.
PLS HELPPP IM DYING
Answer:
2520cm²
Step-by-step explanation:
Surface area = sum of the area of all the bases.
Area of bottom base = 28 * 30 = 840
Area of right base = 25 * 30 = 750
Area of left base = 17 * 30 = 510
Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420
Then add all the areas together to find surface area
Surface area = 840 + 750 + 510 + 420 = 2520cm²
Relevant Formulas:
Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base
Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.
Brianna received an overall IQ score of 117 on the Wechsler Scale. This means that Brianna has scored approximately____________ standard deviation above the mean IQ score of ____________. A. 2; 90 B. 1; 110 C. 2; 75 D. 1; 100
Using the normal distribution, it is found that the correct option is:
D. 1; 100In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.In this problem:
The mean on the Wechsler Scale is of 100, hence [tex]\mu = 100[/tex].The standard deviation is of 17, hence [tex]\sigma = 17[/tex].Brianna had an score of 117, hence [tex]X = 117[/tex]Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{117 - 100}{17}[/tex]
[tex]Z = 1[/tex]
Hence, the option d is correct.
To learn more about the normal distribution, you can check https://brainly.com/question/24663213
The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
a.6m
b.8m
c.9m
d.4m
ANSWER:
9m is the answer
Find the exact value of sin 29π/6
Group of answer choices
a 3/4
b 1/2
c -3/5
d 0
Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
what is the square root of negative 1 divided by 8
Answer:
if you mean [tex]\frac{\sqrt{-1} }{8}[/tex] then the answer[tex](1/8)i[/tex]
and if you mean:[tex]\sqrt{\frac{-1}{8}}[/tex] then the answer is[tex]\frac{i\sqrt{2} }{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
What is the fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts
As per the given information
i.e.,
[tex]\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
To know more about the fraction
https://brainly.com/question/5431264
#SPJ2
) f) 1 + cot²a = cosec²a
Answer:
It is an identity, proved below.
Step-by-step explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).
[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]
csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.
[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]
Another identity is:
[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]
Therefore:
[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]
Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.
[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]
Another identity:
[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]
Therefore:
[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]
Hence proved, this is proof by using identity helping to find the specific identity.
50% of what number is 60?
Answer:
50% of 60 is 30
Step-by-step explanation:
Find the answer:
2(-5-3)
Answer:
-16
Step-by-step explanation:
start with brackets
-5-3 = -8
2(-8)
= -16
D= 9/5C + 32, If the temperature is -15 degrees Celsius, what is the temperature in Fahrenheit degrees
Answer:
5
Step-by-step explanation:
plug in the numbers (-15x9/5)+35 PEMDAS.
Graph the function f(x)=3/2x-4. Use the line tool and select two points to graph.
Answer:
Slope = 3/2
y-intercept = -4
x | y
0 -4
2 -1
Step-by-step explanation:
Look at picture this is so hard pls help
Answer:
D) 8
Step-by-step explanation:
What the problem is asking you to do is multiply the two expressions and substitute x=3 into the product.
[tex]f(x)=2^x[/tex]
[tex]g(x)=2x-5[/tex]
[tex](f*g)(x)=f(x)g(x)=(2^x)(2x-5)[/tex]
[tex](f*g)(3)=f(3)g(3)=(2^3)(2(3)-5)=(8)(6-5)=(8)(1)=8[/tex]
Therefore, the correct answer is D
Help help help help math math
Answer:
5
Step-by-step explanation:
28-(3x+4)=2(x+6)+x In Distributive property please.
Answer:
X=4
Step-by-step explanation:
28−(3x+4)=2(x+6)+x
28+−1(3x+4)=2(x+6)+x(Distribute the Negative Sign)
28+−1(3x)+(−1)(4)=2(x+6)+x
28+−3x+−4=2(x+6)+x
28+−3x+−4=(2)(x)+(2)(6)+x(Distribute)
28+−3x+−4=2x+12+x
(−3x)+(28+−4)=(2x+x)+(12)(Combine Like Terms)
−3x+24=3x+12
−3x+24=3x+12
Step 2: Subtract 3x from both sides.
−3x+24−3x=3x+12−3x
−6x+24=12
Step 3: Subtract 24 from both sides.
−6x+24−24=12−24
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2
Answer:
x = 2
Step-by-step explanation:
28 - 3x + 4 = 2x + 12 + x
24 - 3x = 3x + 12
+ 3x +3x
24 = 6x + 12
-12 -12
12 = 6x
x = 2
a hiking trail at a state park is 8.4 miles long a park ranger wants to place signs at the beginning and end of the trail and along the trail so that the signs are 1.4 miles apart how many signs will the ranger need?
Answer:
the ranger will need 6 signs
Step-by-step explanation:
jerry swims 5 3/5 killometers in a 7 day period. He swims the same distance each day.What distance does he swim in a day
Answer:
0.8 km per day
Step-by-step explanation:
5 3/5 is the same as 5.6, so
5.6/7
= 0.8 km per day
Help ~ with this question~
[tex]4 + 4 \div 5[/tex]
Answer:
4.8Step-by-step explanation:
[tex]\sf 4+4\div 5[/tex]
[tex]\sf 4\div 5 =0.8[/tex]
[tex]\sf 4+0.8[/tex]
[tex]\sf 4.8[/tex]
* Hope it helps, ty 4 pts!
* Have a good day!
Can someone solve this/give me an answer choice??ASAP if possible
Answer:
Step-by-step explanation:
C is right.
5(a + b + c + d)
when you express it it's gonna be 5a + 5b + 5c + 5d
Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
g=6
Step-by-step explanation:
6.4×6-1.4×6=
38.4-8.4=30
its true if it is not the result is incorrect
A bakery worker ordered 3000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed? A. 100 times more because there are 2 zeros in 300 B. 1000 times more because there are 3 zeros in 3000 C. 10,000 times more because there are 5 total zeros in 3000 and 300 D. 10 times more because there is 1 more zero in 3000 than in 300
Answer:
D
Step-by-step explanation:
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
Answer:
8:10
Step-by-step explanation:
8 parts for brown sugar and 10 parts flour.
In simplest, 4:5 (divide 8 and 10 by 2)
Hot Dog!
Moderate
Previous
If it costs a total of $9 to buy 1 hot dog and 2 bottles of water and it costs a total of $22 to buy 3 hot dogs and 4
bottles of water, how much does a single bottle of water cost?
Answer:
$2.50
Step-by-step explanation:
1h + 2w = 9
3h + 4w = 22
Multiply the first expression x 3
3h + 6w = 27
Subtract the 2 equations
3h + 6w = 27
3h + 4w = 22
2w = 5, w = 2.5
PLEASE HELP NO LINKS/FILES
Answer:
7/8 yards
Step-by-step explanation:
converting each fraction to match 1/8 would be
1/4=2/8
1/8
1/2=4/8
add them together and get 7/8
16 liters to fraction
Answer:
16 liters to a fraction would be 4.2 or 4 1/5
Step-by-step explanation:
16 liters = 4.22675 gallons
4.2 gallons = 4 1/5 gallons
1000 L= 1 KL
16 L = 0.016 KL
(Divide 16 by 1000 to convert.)
Find the width of the rectangle if the length of the rectangle is 5 more than it’s width, and the perimeter of the rectangle is 20 units
Answer:
w = 2.5
Step-by-step explanation:
Write these 2 equations to represent the problem:
[tex]l=w+5\\2w+2l=20[/tex]
where w is width and l is length. This can then be solved as a system of equatios. I'll solve by substitution, and as the [tex]l[/tex] is already solved for at the top:
[tex]2w+2l=20\\2w+2(w+5)=20\\2w+2w+10=20\\4w+10=20\\4w=10\\w=2.5[/tex]
If you just need the width, then you're already done there. I'll find the other variable too, and then check it to be sure it's correct.
[tex]l=w+5\\l=(2.5)+5\\l=7.5[/tex]
Now, confirm that with the second equation:
[tex]2w+2l=20\\2(2.5)+2(7.5)=20\\5+15=20\\20=20[/tex]
The perimeter of a rectangle is the sum of its side lengths.
The width of the rectangle is 2.5 units
Represent the length with l and the width with w.
So, we have:
[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter
The perimeter is 20 units.
So, we have:
[tex]20 =2 \times (l + w)[/tex]
Divide both sides of the equation by 2
[tex]10 =l + w[/tex]
The length is said to be 5 more than its width.
So, we have:
[tex]l =5 + w[/tex]
Substitute 5 + w for l in [tex]10 =l + w[/tex]
[tex]10 = 5 + w + w[/tex]
[tex]10 = 5 + 2w[/tex]
Subtract 5 from both sides
[tex]5 = 2w[/tex]
Divide both sides by 2
[tex]2.5 = w[/tex]
Rewrite as:
[tex]w =2.5[/tex]
Hence, the width of the rectangle is 2.5 units
Read more about perimeters at:
https://brainly.com/question/397857
PLEASE I AM IN DESPERATE NEED OF HELP
what equation can help you find out how many adults are there if tickets cost $9 for adults plus one child and $3 for children the total cost of the movie is $48
Answer:
48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child
Rafael runs 7 miles in 60 minutes. at the same rate, how many miles would he run in 24 minutes
Answer:
2.8 miles
Step-by-step explanation:
Speed of Rafael = 7 miles / 60 min = 7/60 miles/min
Time for next run = 24 min
Length of the next run = 7/60 miles/min *24 min = 2.8
what is the sum of the interior angles of a hexagon?
Hello!
So, every interior angle of a regular hexagon measures 120 degrees.
There are six interior angles of a hexagon, so you have to multiply 120 by 6.
120 x 6 = 720
So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.
Hope this helps!
What number could replace n?
6/12 = 2/n
n = ___
n = 4
Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.
Answer: 4
Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.
Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.
Check:
6/12 = 1/2
2/4 = 1/2
Hope this explanation helps.
if you run 4 1/2 miles in three quarter of an hour, how many miles would you run in two thirds
Answer:4
Step-by-step explanation: each quarter of an hour is 1.5 miles they both can go into 12 so if you multiply 2*4 and 3*4 you get 8/12 and if you multiply 3*3 and 4*3 you get 9/12 then you subtract 9/12 by 8/12 to get so 1/12=1/2 miles so you would subtract 4 1/2 by 1/2 to get 4