Answer:
height = 6 cm
base = 12 cm
Step-by-step explanation:
Let the base of the triangle is denoted by b
Let the height of the triangle is denoted by h
We are given that base of a triangle is twice that of its height,
b = 2h
Recall that area of a triangle is given by,
A = ½×b×h
We are given that area of the triangle is 36 cm²
36 = ½×b×h
Substitute b = 2h in the above equation
36 = ½×2h×h
36 = h×h
h² = 36
h = √36
h = 6 cm
Therefore, the height of the triangle is 6 cm
b = 2h
b = 2(6)
b = 12 cm
Therefore, the base of the triangle is 12 cm
Verification:
A = ½×b×h
A = ½×12×6
A = ½×72
A = 36 cm²
Hence proved
The segment shown below could form a triangle. True or False
9514 1404 393
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the shorter two must exceed the length of the longest. Here, that is ...
5 + 6 vs 12
11 vs 12
The short segments are not long enough to form a triangle. The assertion is FALSE.
Maria has twenty-one coins in her piggy bank,all which are either dimes or quarters. Maria has $4.20 totally . Write the system of equations that model the situation
Answer:
x+y= 21
0.10x+0.25y= 4.20
Step-by-step explanation:
You can write a system of equations that model the situation in which one equation would determine the number of coins by adding up all the coins she has and the other one would indicate the total amount Maria has by adding up the results of multiplying the value of each type of coin for the quantity:
x+y= 21
0.10x+0.25y= 4.20
x= amount of dimes
y= amount of quarters
Find the number of ways a math test can be made with a 20 question test bank and a 15 question test
Answer: we can make 15,504 different math tests
Step-by-step explanation:
Ok, we have a bank with 20 questions (Q1, Q2........ , Q20)
and we want to make a test with 15 of those 20 questions.
As the order of the questions does not matter in the thest ( is the same if the order is Q1, Q2, ...., Q15 than if the order is Q15, Q14, ....., Q1 )
So we only want the number of combinations.
When we have N elements and we want to create groups of K elements, the total number of combinations is:
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here N = 20 and K = 15
[tex]C = \frac{20!}{5!*15!} = \frac{20*19*18*17*16}{5*4*3*2*1} = 15,504[/tex]
So we can make 15,504 different math tests
If it is recommended that you limit your fat intake to less than 30% of your calories, what is the limit if you consume 2,000 calories a day?
Answer:
30% of 2,000 = 600 calories.
Step-by-step explanation:
Here are two similar cones. The area of the base of the small cone is equal to 36 t cm2. The radius and apothem of the large cone are 9 cm and 15 cm respectively. What is the volume of the small cone? *
( IF YOU CAN DO ALL OF THE STEPS THAT WILL BE VERY HELPFUL)
thx
Triangle MNP is similar to triangle QRS. Which sides have the same slope?
Answer:
The corresponding sides have the same slope so the answer is QR and MN, SR and PN and MP and QS. Hope this helps!
What is the slope of the line represented by the equation y=-
5x?
0-5
or w/N wind
5
Answer:
the slope would be -5
Step-by-step explanation:
in linear equations, the slope of the line is the coefficient of x
so in this case, it is -5
ASAP 7 POINTS + LINK TO A 50 POINT QUESTION
Which of the following will always represent a function?
1: a table of pairs of numbers
2: an equation in the form y = mx + b
3: a list of ordered pairs
4: a list of numbers
Link to 50 point question: https://brainly.com/question/16753532
Answer: 2: an equation in the form y = mx + b
1. An x/y table may have two entries with the same x; not a function in that case.
2. That's a line with a slope; for each x there's a single y, definitely a function
3. Ordered pairs -- like the table, the same x with different ys is possible, which wouldn't be a function.
4. List of numbers -- a list isn't a function, at least not without more context
Given f(x) = -x – 4, find f(4).
Step-by-step explanation:
f(4) = -4 -4
= -8
......
.......
The hypotenuse of right triangle ABC is represented by segment AB, as shown on the graph.
On a coordinate plane, line A B has points (negative 3, negative 4) and (5, 3).
At which point could point C be located?
(–3, 3)
(–3, 2)
(5, –5)
(5, –3)
Answer:
(-3,3)
Step-by-step explanation:
just took the test on edg.
Answer:(–3, 3)
Step-by-step explanation:
A candy jar contains flavoured jelly beans. There are 7 orange, 9 cherry, 3 lemon, 15 licorice, and 6 blueberry. Find the probability of choosing and orange or a lemon jelly bean. PLEASE HELP!!!
Answer:
25%
1/4
Step-by-step explanation:
There are 40 beans in total. Only 10 of those are orange and lemon flavored.
Sergio wants to glue a ribbon around the top of a cube box with a volume of V. Which expression gives the length of the ribbon?
Answer:
Length of ribbon = 4 × ∛(V)
Step-by-step explanation:
The question is incomplete without the options of the expression to choose from.
Find attached the diagram used in solving the question.
Volume of a cube = side × side × side
Let side = s
Volume of a cube = side³ = s³
Volume of cube box = V
V = s³
s = ∛(V)
The shape of the top of a cube box is a square.
Length of the ribbon to be used to glue round the top of a cube box = Perimeter of a square
Perimeter of a square = length + length + length + length = 4× length
Length = side
Perimeter of a square = 4×s
Perimeter of a square = 4 × ∛(V)
Length of ribbon = 4 × ∛(V)
A rectangular tank 50 cm long, 20 cm wide, and 33 cm high is filled with water to a depth of 12cm. How many more liters of water need to be added to fill the tank?
Answer:
21 litres
Step-by-step explanation:
1 litre = 1000 cubic cm
The rectangular tank is 50 cm long, 20 cm wide, and 33 cm high.
The tank is in the shape of a rectangular prism.
The volume of a rectangular prism is:
V = l * w * h
where l = length
w = width
h = height
Therefor, its volume is:
V = 50 * 20 * 33 = 33000 cubic cm = 33 litres
The tank is filled to a depth of 12 cm.
The volume of water in the tank is:
V = 50 * 20 * 12 = 12000 cubic cm = 12 litres
Therefore, the number of litres left to fill the tank is:
33 - 12 = 21 litres
The liters of water needed to fill the tank is 21 liters.
Determining the volume of the rectangular tankThe first step is to determine the volume of the tank. The tank has the shape of a cuboid. Thus, the formula for the volume of a cuboid would be used to determine the volume of the tank.
Volume of the tank = length x width x height
50 x 20 x 33 = 33,000
Determination of water needed to fill the tank.1 liter = 1000 cm
33,000 / 1000 = 33
The tank is already filled with 12 liters of water.
Water needed = 33 - 12 = 21 liters
To learn more about volume of a cuboid, please check: https://brainly.com/question/46030
Allie need 4 2/3 yards of lace to finish sewing the edges of a blanket. she only has 3/4 of that amount. how much lace does alice have?
3 1/2 yards
Step-by-step explanation:
She needs 4 2/3 or 14/3 yards
She has 3/4 of that. / of is a sign of multiplication
3/4 of 14/3
3/4 * 14/3
42/12. Simplify
14 / 4. So she has 14/4 or 3 1/2 yards
15 POINTS AND WILL MARK BRAINLIEST Help?? Pleasee
The experimental probability is calculated based on the results of the experiment; since the name Ted was chosen 26 times out of 123, the experimental probability is [tex]\boxed{\frac{26}{123}}.[/tex]
Typically, the theoretical probability assumes that events are chosen randomly; since the name Ted is one of the 6 in the hat, the theoretical probability is [tex]\boxed{\frac{1}{6}}.[/tex]
If we increased the number of names in the hat, we would expect both the experimental and theoretical probability to decrease, since there are now more names to choose from. Similarly, if we decreased the number of names in the hat, the experimental and theoretical probability would increase.
PLEASE HELPPP !!!!!!!!
Answer:
The answer is D
Step-by-step explanation:
These two matrices cannot be added. To be eligible to add two matrices together, they must have the same dimensions. In this case, they have two different dimensions so the answer is D.
Hope this helps! (Please consider giving brainliest)
There are 4 students at the Math Club picnic. If 2 students are drinking punch
and 2 are drinking lemonade, what fraction are drinking punch?
Simplify your answer as much as you can
Answer: 1/2
If 2 students are drinking punch
and 2 are drinking lemonade that would mean it would be 2/4
but if you were to simplify by dividing both by 2
it would be 1/2.
What is the length of CD? In this diagram,
ABC ~ EDC.
Hey there!
Answer:
CD = 3.
Step-by-step explanation:
Since the triangles are similar, we can set up a ratio to determine the other side-lengths:
[tex]\frac{12-x}{18} =\frac{x}{6}[/tex]
Cross multiply:
[tex]6(12-x) = 18x[/tex]
Distribute the '6':
[tex]72-6x = 18x[/tex]
Combine like terms and simplify:
[tex]72 = 24x[/tex]
[tex]x = 3[/tex]
Therefore, the length of CD is 3.
The members of a men’s club have a choice of wearing black or red vests to their club meetings. A study done over a period of many years determined that the percentage of black vests worn is 70%. If there are 10 men at a club meeting on a given night, what is the probability, to the nearest thousandth, that at least 8 of the vests worn will be black?
Answer:
Step-by-step explanation:
Let x be a random variable representing the number of the members of a men’s club that wear black vests to their club meetings. This is a binomial distribution since the outcomes are two ways. It is either they wear black or red. The probability of success, p = 70/100 = 0.7
The probability of failure, q would be 1 - p = 1 - 0.7 = 0.3
a) Number of samples, n = 10
We want to determine P(x ≤ 8)
From the binomial distribution calculator,
P(x ≤ 8) = 0.851
Answer:
The probability that at least 8 of the vest worn will be black is 0.75490
Step-by-step explanation:
The parameters given are;
The percentage of black vest worn = 70%, p₀ = 0.7
Number of men in sample, n = 10
Required number of men who wore black = 8
Proportion of sample [tex]\hat p[/tex] = 8/10 = 0.8
The z score of a proportion is given by the relation;
[tex]z = \dfrac{\hat p - p_0}{\sqrt{\dfrac{p_0(1 - p_0)}{n} } }[/tex]
Plugging in the vales, we have;
[tex]z = \dfrac{0.8 - 0.7}{\sqrt{\dfrac{0.7(1 - 0.7)}{10} } } = 0.69[/tex]
From the z table we have probability = p(z < 0.69) = 0.75490
The probability that at least 8 of the vest worn will be black = 0.75490.
two similar figures have an area of 25 in^2 and 4 in^2, what is the ratio of the corresponding sides?
Answer:
5/2
Step-by-step explanation:
ratio of sides=(√25)/(√4)=5/2
what is 5.9736/7.349 reduced to simplest form
Answer:
I think that the answer would be, 0.813
Step-by-step explanation:
5.8736
7.349
equals 0.812845
If you round it you get 0.813
Chen buys 4 tickets to a soccer game. The total cost before taxes is $80. Which equation would you use to determine the price, p, of the ticket? A 4p=80 B 80p=4 C 4+p=80 D p/4=80
Answer:
A. 4p=80
Step-by-step explanation:
Total Cost of 4 tickets=$80
Price=p
Quantity=4
Total cost=price×quantity
80=p×4
80=4p
80=4p is the equation that can be used to determine price
From the equation
80=4p
Divide both sides by 4
80/4=4p/4
20=p
Price is $20 per ticket
Answer:
4p = 80
Step-by-step explanation:
Total cost before tax = $80
Number of tickets purchased = 4
Price 'p' of each ticket
p = total price of ticket / number of tickets purchased
p = 80 / 4
Multiplying both sides by 4
4p = 80
Please help. Thank you!
Answer:
25 sin 42 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite/ hypotenuse
sin 42 = x / 25
Multiply each side by 25
25 sin 42 = x/25 *25
25 sin 42 =x
Answer:
A
Step-by-step explanation:
what is the inequality shown
Answer:
-1
Step-by-step explanation:
Because the nembers before 0 are negitave and the ones after it are positive the equation to find the answer is (-3)(+2) and if you don't know how you add the two like: -3 +2
- negative
+ positive (which also goes for adding 2)
The inequality is shown in that number line 3 ≥ x > 2
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
In order to express inequalities on a number line, we mark a straight line and indicate the endpoints with either an open circle or a closed circle.
An open circle indicates that it does not include the value.
A closed circle indicates that the value is included.
These numbers solution set consists of all real numbers between -3 and 2.
Since 2 has an open circle, it excludes '2,' but it does include everything higher, up to and including -3, which has a closed circle.
Thus, we can represent this using the inequality 3 ≥ x > 2.
Learn more about the number line here:
brainly.com/question/17617832
#SPJ2
A farmer picked 600 portugals and oranges in total to be sold to the market. There are 3 times as many oranges as there are portugals. How many portugals are picked by the farmer?
Answer:
450 portugals
Step-by-step explanation:
in this question, we are tasked with calculating the number of portugals which are picked by the farmer
Firstly, let the number of portugals picked be p and the number of oranges picked be r.
Thus;
p + r = 600 ••••••••••(i)
Secondly there are 3 times as many oranges as there are portugals;
That would be;
3 * r = p
3r = p. •••••••••(ii)
substitute ii into i
3r + r = 600
4r = 600
r = 600/4
r = 150
P = 3r
p = 3 * 150 = 450
What are the solutions to the quadratic equation 4x^2 = 64?
A. x = −16 and x = 16
B. x = −8 and x = 8
C. x = −4 and x = 4
D. x = −2 and x = 2
Answer:
C
Step-by-step explanation:
Given
4x² = 64 ( divide both sides by 4 )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
Solutions are x = - 4 and x = 4 → C
use factoring to solve this x^2-4x-12=0
Answer:
x= 6 x= -2
Step-by-step explanation:
x^2-4x-12=0
What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
(x-6)(x+2) = 0
Using the zero product property
x-6 =0 x+2 =0
x= 6 x= -2
answer question please
Answer:
a) 4.18330013267
b) 7.65643191324
Step-by-step explanation:
Use the calculator to find out the values.
√17.5
=4.18330013267
2.3²+√5.6
5.29+2.36643191324
=7.65643191324
Answer:
a 4.1833
b 7.656
hope its helpful
Assume that y varies directly with x . Ify = 18when x = 6 , findywhen x = 5 . Write and solve a direct variation equation to find the answer. y =
Answer:
y = 15
Step-by-step explanation:
It's given in this question that y varies directly with x.
That means, y ∝ x
⇒ y = kx (where k is the proportionality constant)
If y = 18 when x = 6,
⇒ 18 = 6k
⇒ k = 3
Therefore, relation between x and y is,
y = 3x
From this relation, if x = 5
y = 3×5
y = 15
Therefore, for x = 15 value of y will be 15.
Frank works in the supply room of a law firm. At the beginning of the month, he had 21 boxes of pens with 13 pens in each box. At the end of the month, there were 45 pens left. How many pens did he give out over the month?