Answer: height = 1.16 ft
Step-by-step explanation:
14 inches = 1.17 feet
Height of the oven =
Height = volume / lw
H = 1.59 / 1.17*1.17
H = 1.16 feet
Answer:
a. 3.25 m
b.1.2 ft
Solution,
a. Let 'h' be the height of cylinder
Given,
Radius(r)=0.7 m
Volume(v)=5 m^3
Formula to find volume of cylinder
[tex]\pi {r}^{2} h[/tex]
where r= radius and h= height
so,
[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]
b.
[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]
hope this helps...
Good luck on your assignment...
Find the solution of this system of equations
- 2x + 10y = -22
-2x - 4y = 6
Answer:
x = 1, y = -2
Step-by-step explanation:
- 2x + 10y = -22 _______(1)
-2x - 4y = 6 _______(2)
From (1),
10y + 22 = 2x
x = (10y + 22) / 2
x = 5y + 11 .______(3)
Substitute (3) into (2),
-2 ( 5y + 11) -4y = 6
-10y - 22 - 4y = 6
-14y = 6 + 22
-14y = 28
y = 28/ -14
y =-2
Substitute y = -2 into (3).
x = 5y + 11
x = 5(-2) + 11
x = -10 + 11
x = 1
Therefore, the solution is x = 1, y = -2.
a set of five numbers has a mode of 24 a median of 21 a mean of 20 . work out what the numbers could be
Answer:
Step-by-step explanation:
The mode is 24 so we know that at least 2 of the 5 numbers are 24.
The mean is 20 so we know that the 5 numbers add up to 100.
The median is 21 so the third number is 21.
100-(24+24+21)= 31
Now, I am pretty certain that the last 2 numbers can be anything as long as they add up to 31 AND they are not also 21 because 24 then would no longer be the mode.
E.g. 24, 24, 21, 11 & 20
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer:
11.67
Step-by-step explanation:
Data given in the question
∠ADC = 42°
∠BAC = 68°
Let us assume that AC be Y
Now
In ΔACD
tan 42° = AC ÷ CD = Y ÷ x ...............................(i)
In ΔACB
tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)
Now take the value of Y from the equation (ii)
Y = 26 ÷ Tan 68° ...................... (iii)
Now place the value of Y in equation (i)
So,
Tan 42° = 26 ÷ tan 68° × X
X = 26 ÷ tan 68° × Tan 42° ......................(iv)
Now placing the values of tan 42° and tan 68° in equation (iv)
So,
X = 26 ÷ 0.900 × 2.475
= 11.67
The tan 42° = 0.900
And, the tan 68° = 2.475
which of the following angles is coterminal with 5pi/3? pi/3, 2pi/3, 4pi/3, 5pi/3
Answer:
5pi/3
Step-by-step explanation:
For two angles to be co-terminal, one must differ from the other by a multiple of 2pi.
The angle of consideration is 5pi/3
Let us consider the options one by one and see if they differ from the angle of consideration by a multiple of 2pi.
5pi/3 - pi/3 = 4pi/3
5pi/3 - 2pi/3 = 3pi/3 = pi
5pi/3 - 4pi/3 = pi/3
5pi/3 - 5pi/3 = 0 = 0(2pi)
5pi/3 is co-terminal with itself
PLS HELP ASAP! A decoration is packed in a box shaped like a cube. The decoration has a volume of 651 cm3. Approximately how much empty space remains in the box?
This question is incomplete.
Find attached to this question the diagram of the cube.
Reference for the attached image: This diagram was obtained from Education Quality and Accountability Office (EQAO) PDF
Answer:
128cm³
Step-by-step explanation:
The diagram of the box shows it has a side length of 9.2cm
Volume of a cube =( Length)³
Volume of a cube =( 9.2cm)³
= 778.688cm³
We are told in the question that the decoration packed in the cube has a volume of 651 cm³.
The amount of empty space remaining in the box is calculated as:
778.688cm³ - 651cm³
= 127.688cm³
Approximately to the nearest whole number = 128cm³
Last year Peter spent a total of 8 1/6 hours on community service. Visits to old folks' homes made up 4/7 of the total time. How much time did he spend in visiting old folks homes?
B) This year Peter plans to spend 1 1/5 of his time spent last year on community service.
(i) Find the time he will spend on community service.
(ii) How much more time will he spend this year than last year?
Answer:
A. 4 2/3 hours
B. (i) 9 4/5 hours
(ii) 1 19/30
Step-by-step explanation:
Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.
Mathematically, that would be;
4/7 * 8 1/6
8 1/6 is same as 49/6
So the number of hours he spent visiting old folks would be ;
49/6 * 4/7 = 14/3 = 4 2/3 hours
B. What we do here is simply multiply the fraction now by what he spent last year.
That would be 1 1/5 * 8 1/6 hours
= 6/5 * 49/6 = 49/5 = 9 4/5 hours
ii) Now we want to know how much more time will be spent this year than last year.
What to do here simply is to subtract the time taken last year from what we have this year
That would be;
49/5 - 49/6 = 49/30 = 1 19/30
What do the Nineteenth Amendment and the Indian Citizenship Act of 1924
have in common?
O A. They both affected American Indians directly.
O B. They both allowed certain Americans to own property.
O C. They both permitted free expression with some restrictions.
O D. They both provided suffrage to a group of Americans.
Answer:
D
Step-by-step explanation:
Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote
convert the decimal to a simplified fraction 0.8=
Answer:
4/5
Step-by-step explanation:
You know 0.8 x 10 = 8, so 8/10 is the fraction.
Now, simplify 8/10.
8/10 = 4/5
Answer:
4/5
Step-by-step explanation:
Step 1: Convert decimal to fraction
0.8= 8/10
Step 2:Simplify
8/10=4/5
Help plz and plz write it down on paper and send me a picture ❤️
Answer:
Step-by-step explanation:
(27)^2/3=∛27²=∛3³*3³=3*3=9
√36³=√36*36*36=√6²*6²*6²=6*6*6=216
(-243)^3/5=5√2-42³=-27
If h(x) = 5 + x and f(x) = 5, which expression is equivalent to (kn)(x)?
Answer:
Step-by-step explanation:
The question is not correctly written, here is the correct question.
If h(x) = 5 + x and k(x) = 5, which expression is equivalent to (koh)(x)?
(koh)(x) can be rewritten as k{h(x)}
Since h(x) = 5+x then, k{h(x)} = k(5+x)
Note that k(x) can be written as 5x°
k(5+x) = 5(5+x)°
Since any value raise to the power of zero is 1, then;
k(5+x) = 5(1)
k(5+x) = 5
(koh)(x) = k{h(x)} = 5
For (hok)x;
(hok)x = h{k(x)}
= h(5)
= h(5x°)
Since h(x) = 5+x
h(5x°) = 5+5x°
h(5x°)= 5+5 = 10
(hok)x = h(k(x)) = 10
The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3 4 inches apart on a map, how many miles apart are the two cities?
Answer:
Step-by-step explanation:
2340 miles
Given
1 inch represents 10 miles
thus,
1 inch on map = 10 miles in real
given the two cities are 234 inches apart on map
1 inch on map = 10 miles in real
multiplying both side by 234
1 inch*234 on map = 10 miles*234 in real
234 inch on map = 2340 miles in real.
Thus, two cities are 2340 miles apart.
Answer:
27.5 miles
Step-by-step explanation:
You need to multiply 2 3/4 by 10, because it says every inch represents 10 miles.
2 3/4 * 10
11/4 * 10/1 = 55/2
27 1/2 or, 27.5
two angles of a triangle measure 32 degrees and 62 degrees what is the measure of the third angle? A) 76 degrees B) 86 degrees C) 94 degrees D) 96 degrees
Answer:
86 B
Step-by-step explanation:
32+62=94
180-94=86
The sum of the interior angles of a triangle always add up to 180 degrees.
Answer:
The third angle is 86
Step-by-step explanation:
The sum of the angles of a triangle add to 180
32+62+x = 180
94+x = 180
Subtract 94 from each side
x = 180-94
x =86
trig and picture pls help
Answer:
Im pretty sure that the answer is 32.
Step-by-step explanation:
Hope this helps
PLZ HURRY How many solutions does this system have? y = 3 x minus 5. y = negative x + 4.
Answer:
one is correct.
Step-by-step explanation:
because it have one solution when you graph it
Answer:
One solution (2.25,1.75)
Step-by-step explanation:
Well first we need to graph the following
[tex]y=3x-5[/tex]
[tex]y=-x+4[/tex]
So look at the image below.
So looking at the image below we can tell that the system only has one solution (2.25,1.75).
What is the Square root of -100
Answer:
[tex]10i[/tex]
Step-by-step explanation:
√(-100)
Use the imaginary number rule [tex]i=\sqrt{-1}[/tex]
√(-1) × √(100)
i × √(10²)
i × 10
= 10i
Answer:
It does not have a square root because it is a minus digit.
Step-by-step explanation:
The square root of one number is the number which is multiplied by itself to form the square number.
But, no negative number has a square root, because
- x - = +
+ x + = +
As you can see, no two same signs multiply together to form a negative.
Hope this helps.
Good Luck
whats the cube root of 3375 by prime factorization
Answer:
15
Step-by-step explanation:
Prime factors of 3375 are 3, 3, 3, 5, 5, 5.
Since you need the ∛ of 3375, ∛3375=15
Answer:
15
Step-by-step explanation:
15x15x15=3375
PLEASE HELP!!!! BRAINLIEST FOR RIGHT ANWSER
Answer:
d.tigers have a great IQR because they were some very heavy tigers.(high outliers)
please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please slove it all please if you can save the picture and do it on the page -
i Will give brainliest
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
2)
a) elimination method
b) substitution method
c) substitution method
For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.
For the second part we can substitute y as 2x+5 in the second equation and solve for x.
For the third part we can substitute y as 4x+3 in the first equation and solve for x.
3)
[tex]\boxed{\mathrm{view \: attachment}}[/tex]
Write a two-column proof. Given: <2 is congruent to <5; Segment AB is congruent to Segment DE Prove: Segment BC is congruent to Segment EC
Answer:
proof
Step-by-step explanation:
Statements
Reasons
<2 is congruent to <5; Segment AB is congruent to Segment DE
Given
<3≅<4
Vertical angle theorem
ΔCDB≅ΔCAE
AAS
Segment BC is congruent to Segment EC
CPCTC
The segment BC is congruent to segment EC and this can be proven by using the properties of a triangle and the given data.
Given :
Angle 2 is congruent to angle 5.Segment AB is congruent to Segment DE.The following steps can be used in order to prove that segment BC is congruent to segment EC:
Step 1 - Using the triangle properties it can be proven that segment BC is congruent to segment EC.
Step 2 - According to the vertical angle theorem, angle 3 is congruent to angle 4.
Step 3 - Now, according to the AAS (Angle Angle Side) postulate, triangle CDB is similar to triangle CAE.
Step 4 - So, according to the CPCTC, segment BC is congruent to segment EC.
For more information, refer to the link given below:
https://brainly.com/question/25813512
can someone in here help me with this question I'm stuck and I don't know to do it
Answer:
Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table
how many millimeters are in a meter
Answer:
There are 1000 millimeters in a meter.
Step-by-step explanation:
I really hope this helps in any way.
Answer:
1,000
Step-by-step explanation:
The word millimeter has the prefix of 'milli-'.
'Milli-' means a thousand.
Applying the prefix meaning to the word, a millimeter would be a thousandth of a meter.
There are 1,000 millimeters in a meter.
Brainilest Appreciated.
Find w please help me
Answer:
w = 77°
Step-by-step explanation:
From the picture attached,
WXYZ is a quadrilateral having 4 interior angles,
m∠y = 90°
Therefore, (2x - 10) = 90°
2x = 90 + 10
2x = 100
x = 50
Now, m∠z = (x + 15)° = 65°
m∠x = (3x - 22)° = 150 - 22
= 128°
Sum of interior angles of a polygon = (n - 2)×180°
where n = Number of sides of the polygon
If n = 4,
m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°
w + 128 + 90 + 65 = 360
w = 360 - 283
w = 77°
Therefore, measure of w = 77°
The graph below shows the price of different numbers of beach balls at a store: Which equation can be used to determine p, the cost of b beach balls? b = 5.50p p = 5.50b p = 11b b = 11p
Answer:
p = 5.50b
Step-by-step explanation:
2 beach balls cost 11
4 beach balls cost 22
6 beach balls cost 33
So each (1) ball b costs 5.50 ($) p
if AB is 3/4 and CD is 8/-6 are the parallel, perpendicular or niether
Answer:
neither
Step-by-step explanation:
parallel lines have the same slope, perpendicular lines' slopes are the negative inverse of eachother.
Please Help...Anyone? I am revising for a test tomorrow, so please explain how you get the answer, too.. The ratios of the ages of Sunil and his Wife is 4:3. After 4 years, the ratio will be 9:7. What is the present age of Sunil
Answer:
32 years old
Step-by-step explanation:
Please see attached picture for full solution.
Let Sunil's present age be 4x and his wife's present age be 3x.
Juan hiked to the top of a 3,000-foot mountain and back down without taking a break. Which graph best represents Juan's distance from the top of the mountain during the entire hike?
Answer:
Top left graph.
Step-by-step explanation:
If Juan didn't take a break, there is no plateau/flat line. And if he started hiking up and then down, then the graph should be an upside-down V shape.
Answer:
Graph A is the most acuurate
Which expression represents a difference of squares ?
Answer:
first and last options
Step-by-step explanation:
Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².
Answer:
1 and 4
Step-by-step explanation:
Find the area of the shape shown below Please help :(
Answer:
18 units^2
Step-by-step explanation:
Formula for Area of trapezoid: ( base 1 + base 2 / 2) * height
(3 + 9 / 2) * 3 = (12 / 2) * 3 = 6 * 3 = 18 units^2
I hope this helps
Answer:
18²
Step-by-step explanation:
Formula for a trapezium:
Area = base1 + base2/2 × height
3 + 9/2 × 3
= 12/2 × 3
18²
A restaurant offers 6 choices of appetizer, 8 choices of main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Step-by-step explanation:
For one course:
6+8+5=
Two courses with appetizers and main meals (* means times)
6*8
Two courses with appetizers and dessert
6*5
Two courses with main meals and dessert
8*5
Which polynomial identity will prove that 35 = 27 + 8?