Answer:
20. 13 cm
21. 12 cm
Step-by-step explanation:
20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)
21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2 ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)
Galina was correct when she said: it is 10 times the number of outcomes/there are 2 possible outcomes. Elroy was correct when he said: the outcome of each flip is 1/2/multiply the 10 outcomes. A coin is tossed eight times and outcomes are recorded.
Answer:
I believe that the answer is
Galina was correct when she said: there are 2 possible outcomes.
Elroy was correct when he said: multiply the 10 outcomes
Step-by-step explanation:
I looked this up and found that when you flip a coin 10 times you get 2^10 = 1024 but including other possibilities there are only 1000 combinations. Meaning that there are 2 possible outcomes for every coin flip and in order to find those combinations you have to multiply 2 to itself for however many times you were to flip a coin.
For Example: Flip a coin 3 times there are 2 possibilities for every time you flip it. So the answer would be 2*2*2=8 combinations.
I hope this helps. :)
The answer is correct that
Galina was correct when she said: there are 2 possible outcomes.
Elroy was correct when he said: multiply the 10 outcomes by 1/2
What is Combination ?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
As the coin is flipped 10 times and there are to possible outcomes of coin head and tail.
So, [tex]2^{10}[/tex] = 1024
In order to find the combination we have to multiply the number 2 to the number itself or raise the power of 2 to the number of times we have flipped the coin.
Let us take a case,
If we have flipped a coin 5 times and there are only two possibilities.
The answer will be= [tex]2^{5} or 2*2*2*2*2*2[/tex] = 32 combination.
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Jack has a part time job selling clothes at a clothing store. He earns
$50 per week plus 10% of the value of her weekly sales. This week Jack
earned $250. What is the total value of his sales this week? *
Answer:
$2,000
Step-by-step explanation:
$250-$50=$200
$200*10=$2,000
Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?
6.25x + 7.50 = 26.25
6.25x - 7.50 = 26.25
7.50x + 6.25 = 26.25
7.50x - 6.25 = 26.25
Answer:
6.25x + 7.50 = 26.25
Step-by-step explanation:
Given that
The admission fee is = $7.50
Each round costs = $6.25
Total money Clara paid = $26.25
The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-
we assume the number of rounds = x
Here, We can denote this equation in the following form
[tex]6.25x+7.50=26.25[/tex]
Therefore with the help of above equation we can now find out the x value
[tex]6.25x=26.25-7.50[/tex]
[tex]=> 6.25x=18.75[/tex]
[tex]=> x = 3[/tex]
So, Clara played 3 rounds of golf.
Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−2, y+3).
Triangle ABC on the coordinate plane with the ordered pairs for A as 1,1, B as 2,5, and C as 3,2.
Which coordinates will best represent point B'? (4 points)
Image
(4, 2)
(0, 8)
(−1, 7)
(5, 3)
Answer:
(0,8)
Step-by-step explanation:
(2,5) to (0,8)
(2-2,5+3) --> (0,8)
to make the perfect shade of orange cake frosting, Mya needs 8 drops of yellow food coloring for every 12 drops of red food coloring. If she adds 32 drops of yellow food coloring to her frosting, how many drops of red food coloring should she add?
Answer:
First find how much more the recipe increased by
32/8=4
She needs to have 4 times more the recipe
Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4
12 x 4 = 48 drops of red food coloring
48 drops
Hope this helps
Step-by-step explanation:
a) Find the square number
7
12
20
25
27
b) Find the cube number
7
12
20
25
27
Answer:
a) 25
5² = 5×5 = 25
b) 27
3³ = 3×3×3 = 27
(a) The square number is 25.
(b) The cube number is 27.
The following information should be considered:
The square number is the number that should be multiplied by itself.While on the other hand, the cube number is the number that should be multiplied it by 3 times itself.So based on the given options, we can conclude that
(a) The square number is 25.
(b) The cube number is 27.
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EB and DA are diameters of circle Y. What is the measure of arc EDC?
Answer:
Option (D). 110°
Step-by-step explanation:
Since EB and AD are diameter,
[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°
[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)
And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]
180° = 40° + [tex]m(\widehat{BCD})[/tex]
[tex]m(\widehat{BCD})[/tex] = 140°
Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]
[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]
[tex]m(\widehat{BC})[/tex] = 70°
From equation (1),
[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]
[tex]m(\widehat{EDC}})[/tex] = 180°- 70°
Therefore, measure of arc(EDC) = 110°
Option (D) will be the answer.
Fully Factorise 5D^2+11d
Answer:
d × (5d + 11)
Step-by-step explanation:
5d² + 11d
Factor out d from the expression
When d is factored out;
5d² becomes 5d
11d becomes 11
And d multiplies it all;
d × (5d + 11)
Find the area of the triangle.
a.
620 sq. m
c.
540 sq. m
b.
270 sq. m
d.
980 sq.m
Answer:
[tex]270 \:m^2[/tex]
Step-by-step explanation:
The area of the triangle.
[tex]bh\frac{1}{2}[/tex]
[tex]b \times h \times \frac{1}{2}[/tex]
[tex]20 \times 27 \times \frac{1}{2}[/tex]
[tex]540 \times 1/2[/tex]
[tex]=270[/tex]
The area of triangle would be;
⇒ Area of triangle = 270 m²
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Here, Given that;
Base of triangle = 20 m
Height of triangle = 27 m
Now, We know that;
Area of triangle = 1/2 × Base × Height
Substitute all the values, we get;
⇒ Area of triangle = 1/2 × Base × Height
⇒ Area of triangle = 1/2 × 20 × 27
⇒ Area of triangle = 270 m²
Thus, The area of triangle would be;
⇒ Area of triangle = 270 m²
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What is mzABC?
75°
Om ABC = 15°
Om ABC = 45°
135
С
Om ABC = 60°
Om ABC = 75°
B
D
Answer:
D
Step-by-step explanation:
I got it on the test
The measure of ∠ABC in the triangle below is 60°
Triangle
Triangle is a polygon with three sides and three angles. The sum of angles in a triangle is 180°.
∠ACB + 135 = 180° (Sum of angles in a straight line)
∠ACB = 45°
In triangle ABC:
∠ABC + ∠ACB + ∠CAB = 180° (Sum of angle in a triangle)
∠ABC + 75 + 45 = 180
∠ABC = 60°
The measure of ∠ABC in the triangle below is 60°
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A high square prism has a length L and width W units. if its height is H Units long the find the lateral surface area of the prism .
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area of a prism is the total of the area of the faces. The lateral area of the prism is equal to the perimeter of the base times the altitude.Surface area= 2(L+W)H
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area is the total of the area of all the faces of the prism.
Hope this helps!
Solve the following math problem using Roman numerals.
VII + X =
XIV
XVII
XV
XX
Answer:
XVII
Step-by-step explanation:
VII + X =
V = 5
I = 1
X = 10
5+1+1 + 10 = 17
XVII
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),(-2,4),(5,4) and (5,-3) . Find the perimeter (in yards) and the area (in square yards).
Answer:
Step-by-step explanation:
The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units. The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units. If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).
The next thing to do is to calculate the length of the hypotenuse of this triangle. Using the Pythagorean Theorem, we get:
d = √(7² + 7²) = 7√2 ft.
The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd
and ...
The area of the triangular shape is A = (1/2)(base)(height), which here is
A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2
PLEASE HELP
Write an equation to model the data.
x y
−1 2.5
0 5
1 10
2 20
3 40
Answer:
y = 5(2)ˣ
Step-by-step explanation:
numbers are doubled for y as x is changing by 1
it indicates exponential growth with y intercept 5 and rate 2: y = 5(2)ˣ
The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third number if one of its factors is 9.
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
How many zeroes are at the end of 10! = 1∙2 ∙ … ∙ 9∙10?
Answer:
2.
Step-by-step explanation:
To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.
In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.
I hope this helps!
HELP ASAP!!1 Write the phrase as a rate in simplest form. 320 miles on 34 gallons a. 160miles/ 17 gallons b. 160miles/ 34 gallons c. 320gallons/ 34 miles d. 320miles/ 34 gallons e. 160gallons/17 gallons
Answer: c( 320 gallons/34 miles or d( 320 miles/34 gallons
hope it helps..
Ken flips 2 fair coins. What is the probability of obtaining the same result on each coin?
What is the solution to this system of linear equations?
7x – 2y = –6
8x + y = 3
(–6, 3)
(0, 3)
(1, –5)
(15, –1)
Answer:
de correct one is
x 0
y 3
hope u got it
Charisse was riding north then she turned 90° to the left after turning in what direction was charisse riding Explain your answer
Answer:
west
Step-by-step explanation:
Answer:
West
Step-by-step explanation:
90 deg left of north is west.
Identify the scale factor.
Photograph: height 3 inches
Painting: height 24 inches
Quick answer 3/24 or 1/8
A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents. How far should she travel in each descent?
Answer:
20 feet
Step-by-step explanation:
5 descent =>100 feet
1 descent => 100÷5
= 20 descent
f(x) = 4x^2+2x+6 what is the discriminant of f? How many distinct real number zeros does f have?
Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:
[tex]2^2-4(4)(6)=4-96=-92[/tex]
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
What is 2a+50=5a-4? Thank you for your time.
Answer:
2a+50=5a-4
5a-2a=50+4
3a=54
a=18
Answer:
[tex]a=18[/tex]
Step-by-step explanation:
[tex]2a+50=5a-4\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\2a+50-50=5a-4-50\\Simplify\\2a=5a-54\\\mathrm{Subtract\:}5a\mathrm{\:from\:both\:sides}\\2a-5a=5a-54-5a\\\mathrm{Simplify}\\-3a=-54\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3a}{-3}=\frac{-54}{-3}\\Simplify\\\frac{-3a}{-3}=\frac{-54}{-3}\\\mathrm{Simplify\:}\frac{-3a}{-3}:\quad a\\\frac{-3a}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3a}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1[/tex]
[tex]=a\\\mathrm{Simplify\:}\frac{-54}{-3}:\quad 18\\\frac{-54}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{54}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{54}{3}=18\\=18\\a=18[/tex]
Find the volume of a right circular cone that has a height of 6 ft and a base with a radius of 9.7 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
591.18
Step-by-step explanation:
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the median of the data? *
Answer:
15
Step-by-step explanation:
First you have to order the numbers from least to greatest
13, 13, 15, 20, 24
Then you find the value in the middle.
You have five numbers so your middle value is the number between the the two numbers on the left and the two numbers on the right which is 15.
Find the measure of each angle of a regular polygon with 8 sides.
Answer:
135 degree
Step-by-step explanation:
total sum of angle = (8-2) * 180 = 1080
each angle = 1080/8 = 135 degree
Solve this inequality.
8x + 6 less than or equel to 54
Answer:
[tex]x\le 6[/tex]
Step-by-step explanation:
We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)
Subtract 6 on both sides of the equation as :
[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]
Dividing both sides of the equation by 8 such that,
[tex]x\le 6[/tex]
So, the value of x is less than equal to 6. Hence, this is the required solution.
3 feet
12 feet
The ramp will be approximately
feet long
Answer:
36 feet long
Step-by-step explanation:
3 feet x 12 feet is 36 so it will be 36 feet long!
please mark brainliest and have a nice day :)
Given f(x) = –3x – 4, find f(–5).
Answer:
3x
Step-by-step explanation:
because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x