Answer:
Adjacent sides are in the ratio 5 : 12
That means,
Let length = 12x and breadth = 5x
Perimeter = 34
2(l+b) = 34
12x + 5x = 17
17x = 17
x = 1
Lenth =12 cm
Breadth = 5 cm
By Pythagorean theorem
The length of the diagonal of rectangle = 13 cm
what is the volume of a cone if the height is 18 and the radius is 4
Answer:
V = 302
Step-by-step explanation:
Here, we have Radius(r)=4and Height(h)=18(Given)
l^2=r^2+h^2
l^2=42+182
l^2=340
l=18
Volume= πr2h/3
= 3.14159⋅42⋅18/3
= 302
Answer:
301.59289
Step-by-step explanation:
radius(r) = 4
height (h) = 18
we know,
volume of cone =
[tex]\pi \: {r \:}^{2} \frac{h}{3} [/tex]
[tex] \frac{22}{7} \: \times {4}^{2} \: \frac{18}{3} [/tex]
=301.59289
Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 5, 10. Column 2 is labeled y with entries 5, 10, 25, 50.
Answer:
No, she is not correct. Because this is a proportional relationship.
Step-by-step explanation:
Proportional relationships are relationships having equal ratios.
here, Mandy's conclusion is incorrect because the relationship is proportional, and it has a uniform ratio of 5.
column 1 column 2 column 2/column1
'x' 'y'
1 5 5
2 10 5
5 25 5
10 50 5
As we clearly see that ratio of column 2 and column 1 is same for every row, therefore we can conclude that the given relation in the relation is proportional.
Thus, the given relation is proportional.
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Find the measure of each missing angle.
Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128
[tex]\sf \boxed{\bf \angle 1 = 52^ \°}[/tex]
AB // CD and AC is transversal.
[tex]\sf \boxed{\bf \angle 3 = 38^\circ}[/tex] {Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101
[tex]\sf \boxed{\bf \angle 2 = 79^ \°}[/tex]
Question 10 of 10
Which of the following are necessary when proving that the diagonals of a
rectangle are congruent? Check all that apply.
A. Corresponding parts of similar triangles are similar.
B. Corresponding parts of congruent triangles are congruent.
C. Opposite sides are congruent.
D. Opposite sides are perpendicular.
Joshua is 1.45 meters tall. at 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. he stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. find the height of the tree to the nearest hundredth of a meter .
Answer:
hes a titan
Step-by-step explanation:
Pls give me answer
Initially, a box contains three white and five red balls. Balls
are drawn at random from the box. Whenever a red ball is drawn, it is placed
back into the box together with one extra red ball. Whenever a white ball is
drawn, it is placed back into the box together with two extra white balls. What
is the probability that the first three balls are drawn out of the box alternated
in colour?
Using it's concept, it is found that the probability that the first three balls are drawn out of the box alternated in colour is of 0.1541 = 15.41%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering the situation described, the ways that alternate colored balls can be taken, and their probabilities, are given as follows:
R(5/8) - W(3/9) - R(5/11).W(3/8) - R(5/10) - W(5/11).Hence the probability is given by:
[tex]p = \frac{5}{11} \times \frac{3}{9} \times \frac{5}{11} + \frac{3}{8} \times \frac{5}{10} \times \frac{5}{11} = 0.0689 + 0.0852 = 0.1541[/tex]
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Cooper was out at a restaurant for dinner when the bill came. His dinner came to $28. After adding in a tip, before tax, he paid $33.32. Find the percent tip.
Cooper left his dinner server a 19% tip.
To find the percent tip, we need to first subtract the cost of the meal from the total amount paid, which will give us the tip amount:
Tip amount = Total amount paid - Cost of the meal
Tip amount = $33.32 - $28
Tip amount = $5.32
Now we can calculate the percentage of the tip by dividing the tip amount by the cost of the meal and multiplying by 100:
Percent tip = (Tip amount / Cost of the meal) x 100
Percent tip = ($5.32 / $28) x 100
Percent tip = 0.19 x 100
Percent tip = 19%
Therefore, Cooper gave a 19% tip on his dinner.
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The length of a rectangle plus its width is 25
cm. The area is 150 square cm. What are the
length and width of the rectangle?
Separate the answers with a comma.
Select the correct answer.
What is the output of the function f(p) = 3p – 2 when the input is 2?
A.
0
B.
2
C.
4
D.
6
E.
8
f(p) = 3p - 2
f(2) = 3(2) - 2
f(2) = 6 - 2
f(2) = 4
Therefore, the answer is 4, so option C :)
How many calories does the bran muffin contain? 400 calories 200 calories 650 calories 800 calories
Answer:
400 calories
Step-by-step explanation:
A bran muffin has around 380 calories, when rounded off it is 400 calories.
Hope I helped
Answer:
A. 400 Calories.
Step-by-step explanation:
Look it up on the net.
If this is wrong, it is because there wasn't enough information given.
Hope this helps!
If not, I am sorry.
Please help! The formula for the volume of a cylinder is:
Answer:
A
Step-by-step explanation:
isolate r by dividing by πh. take the square root on both sides to get rid of the r^2 to make it just r
Answer:
r =sqrt(V/ ( pi h) )
Step-by-step explanation:
V = pi r^2 h
We want to solve for r
Divide each side by pi h
V/ ( pi h) = pi r^2 h/ ( pi h)
V/ ( pi h) = r^2
Now take the square root of each side
sqrt(V/ ( pi h) )= sqrt( r^2)
sqrt(V/ ( pi h) )=r
Drag a statement or reason to each box to complete this proof.
Given: Quadrilateral ABCD with m∠A=(7x)°, m∠B=(5x)°, m∠C=(7x)°, and m∠D=(5x)°.
Prove: x = 15
2) [tex]m\angle A+m\angle B+m\angle C+m\angle D=360^{\circ}[/tex]
3) Substitution property
4) Combine like terms
The line ax − by + 3 = 0 is parallel to the line 3x + 2y − 4 = 0 and passes through the point (1, −2). Find a and b.
Answer:
a=9
b=-6
Step-by-step explanation:
Decide whether each number is written in standard notation or scientific notation.
Number
Type of notation
3000
Select ...
Select ...
4.2 × 104
Select ...
Select ...
1.05 × 10–7
Select ...
Select ...
0.0013
Select ...
Select ...
6,500,000
Select ...
Select ...
6.2 × 1019
Select
The answers are as follows:
3000- standard notation
4.2*10 raised to 4 - scientific notation
1.05 × 10 raised to power –7 - scientific notation
0.0013 - standard notation
6,500,000 - standard notation
6.2 × 10 raised to power 19 - scientific notation
Concept: Standard notation is a way of writing a number so it is easier to read. It is often used for very large or very small numbers.
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
In the given questions,
3000- standard notation
4.2*10 raised to 4 - scientific notation
1.05 × 10 raised to power –7 - scientific notation
0.0013 - standard notation
6,500,000 - standard notation
6.2 × 10 raised to power 19 - scientific notation
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Please Help!!!! This Sucks
Answer:
Step-by-step explanation:
If the inequality contains < symbol, then graph the equation using a _______________ line.
Answer:
broken line
Step-by-step explanation:
for the graph of an inequality with < or > use a broken line
-----------------------------------
for the graph of an inequality with ≤ or ≥ use a solid line
The charge for skating is $6.35 for skate rental, 1 hours
of skating at $18 per hour, and an additional $1 fee.
What is the total cost (c) for skating?
Answer:
c = 25.35
Step-by-step explanation:
Comment
Cost (c) = skate rental + time + miscellaneous
Givens
skate rental = 6.35 / hourusing the rink = 18.00miscellaneous = 1Answer
Cost = 6.35 + 18.00 + 1
Cost = 25.35 , but 24.35 is an hourly charge,
35 points! Which of the following polynomials has an even degree and a positive leading coefficient?
Answer:
1
Even degree: the start and the end of the graph goes either both up or down (1 and 4)
positive leading coefficient: right side of the graph is going up (1 and 2)
When planning road development, the road commission estimates the future population using the function represented in the table, where x is the time in years and f(x) is the total population.
What is the significance of 160,000 in the function?
the maximum population of the city
the expected population in 5 years
the initial population at the time of the estimation
the amount of increase in the population in 5 years
The significance of 160,000 in the function is the initial population at the time of the estimation.
The correct option is (C)
What is data?A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.
Given:
As per the table attached below:
F(x) signify the total population when the time was x hour.
So, 160,000 in the function signifies that the population at starting i.e., initial point.
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Find the lengths of sides marked with variables (x, y, w, z). Show all work
Answer:
1) 19.07 m, 2) 80.10 ft, 3) 56.79 mStep-by-step explanation:
Use trigonometry to solve for unknowns.
1) Use sinesine = opposite leg / hypotenusesin 27° = x/42x = 42 sin 27°x = 19.07 m (rounded)2) Use tangenttangent = opposite leg / adjacent legtan 23° = 34/xx = 34 / tan 23°x = 80.10 ft3) Use cosinecosine = adjacent leg / hypotenusecos 48° = 38/xx = 38 / cos 48° x = 56.79 m (rounded)#1
sin27=x/42x=42sin27x=19.07m#2
tan23=34/xx=34/tan23x=80.1ft#3
cos48=38/xx=38/cos48x=56.79mI need this to be solved please and thank you
Answer:
30
Step-by-step explanation:
Area of a triangle = (base length × height)/2
Given base length = 5 and given height = 12
So area = (5×12)/2
==> multiply 12 and 5
Area = (60)/2
==> divide 60 by 2
Area = 30
Step-by-step explanation:
please mark me as brainlest
Question 6 (Yes/No Worth 1 points)
(02.01 LC)
Is the following relation a function?
A TV's regular price is $349. It is on
clearance for 30% off, and a customer uses
a 15% off coupon after that. What is the
final cost of the TV before sales tax?
Answer:
rounded is $207.66
Step-by-step explanation:
you start by doing 349(0.30) which would be 104.7
349-104.7=244.3
next you do 244.3(.15)=36.645
244.3-36.645= $207.655
TIMED!! pls
What are the zeros of the quadratic function f(x) = 2x^2 + 16x - 9?
Write an equation for the line parallel to the given line that contains C.
C (1,8); 5/7x + 7
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{y = 5/7x + 51/7}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{Goes through (1, 8) and is parallel to y = 5/7x + 7}[/tex]
Find: [tex]\textsf{Write an equation that follows that criteria}[/tex]
Solution: We know that our equation is going to parallel to the line that was given therefore the slope would stay the same at 5/7. We also have a point so we can plug in the values into the point-slope form, distribute, and solve for y.
Plug in the values
[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - 8 = 5/7(x - 1)}[/tex]Distribute
[tex]\textsf{y - 8 = (5/7 * x) + (5/7 * (-1))}[/tex][tex]\textsf{y - 8 = 5/7x - 5/7}[/tex]Add 8 to both sides
[tex]\textsf{y - 8 + 8 = 5/7x - 5/7 + 8}[/tex][tex]\textsf{y = 5/7x - 5/7 + 8}[/tex][tex]\textsf{y = 5/7x + 51/7}[/tex]Therefore, the final equation that follows the description that was provided in the problem statement is y = 5/7x + 51/7.
(Giving 75 points, Please do not answer if you do not know. Wrong answers will result in me reporting them.)
If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.
OQ+QP= ?
Fill in what you know and solve for OQ
OQ= 11
Answer: Answers attached in an image.
Step-by-step explanation: Work is attached on the image.
Answer:
OQ = 11
Step-by-step explanation:
Segment Addition Postulate
If a third point B lies on a line segment with endpoints A and C, then AB + BC = AC
Given:
OP = 17QP = 6Q is the point on the line segment OP, so:
⇒ OQ + QP = OP
Substitute the given values of OP and QP to find OQ:
⇒ OQ + 6 = 17
⇒ OQ + 6 - 6 = 17 - 6
⇒ OQ = 11
Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form?
Answer:
Slope is 3/4
Step-by-step explanation:
Gradient means slope. So, to find the slope without using the formula, look at two points then count up until you're in line with the other point, then count right until you reach the other point. Remember it must be written as rise/run.
I hope this explanation makes sense!
The points I will use is (0,-2) and (4,1).
Slope is 3/4.
Hope this helps!
If not, I am sorry.
give the center and radius of the circle defined by the following equation (x - 1)^2 + y^2 = 5
the general equation of a circle is given by (x-a)^2+(y-b)^2=r^2
where (a,b) are the coordinates of the center.
from the given equation then (1,0) will be the center of the circle. and for the radius of the cirlce equate r^2 with 5...r^2=5 therfore r=
[tex] \sqrt{5} [/tex]
.
A company makes 150 bags.
43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
PLEASE ANSWER IN FRACTIONS
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
first ,let’s calculate the number of bags made by the company that have both buttons and zips :
150-(43+38+34)
=35
a bag that has buttons : either has buttons but no zips or has both buttons and zips
Then
The number of the bags that have buttons is :
43+35 = 78
………………………
Conclusion:
the probability that the bag has buttons is :
[tex]=\frac{75}{150} = \frac{1}{2}[/tex]
Question 1
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units
Answer:
XY = 6
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{XY}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 XY = 12 ( divide both sides by 2 )
XY = 6
The length of the side XY in ΔXYZ is 6 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
In reference to the angle of 30° opposite side is XY and the hypotenuse is 12 units.
We know, sin = opposite/hypotenuse.
Therefore, sin30° = XY/12.
1/2 = XY/12.
XY = 12/2.
XY = 6 units.
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