Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
The distance a cargo ship travels is proportional to time. In 2 hours, the ship travels 53 miles. The relationship between distance and time can be represented as y = kx, where x is the time, in hours, and y is the distance, in miles. What is the value of k for this ship?
Answer:
Step-by-step explanation: fhfhbrdbvrbdbdvdbdvdcdvdvd
Answer:
1040t595478o56897350825389072506925870925870924
Step-by-step explanation:u98567296529tfihuvwoyt8rei7guyot9857069rg8fyvbhiou9840t6y
Which system has no solutions?
Answer:
2nd option
y > 6 and y < 2
Step-by-step explanation:
as the value of y can not be greater than 6 and less than 2 at the same time, the 2 inequalities have no common solutions
theefore no solution
A shop that sells nuts has one mixture that is 30% pecans and 70% peanuts. A second mixture is 40% pecans and 60% peanuts. The manager wants to make a mixture that is 38% pecans. She wants to use 25 ounces more of the second mixture than of the first. How many ounces of each mixture should she use
Answer:
=> x = 8.33 oz weight of the first mixture therefore weight of the second mixture would be:
x+25= 8.33+25=33.33 oz
Step-by-step explanation:
We want to find the weight of each mixture which are unknown to us right now, therefore:
Let the weight of the first mixture be x. Then the weight of the second mixture would be (x+25) and the weight of final mixture would be (x + x + 25) = 2x+25.
The first mixture had 30% pecans, therefore the weight of pecans from the first mixture would be 0.3x.
The second mixture had 40% pecans, therefore the weight of pecans from the second mixture would be 0.4 * (x+25).
We will have 38% pecans in the final mixture hence the weight of pecans is 0.38 of the total weight of pecans in the final mixture.
0.38 * (2x + 25)
Therefore
0.38 * (2x + 25) = 0.3x + 0.4*(x + 25).
Now we have one equation one unknown and solve for x:
=> 0.76x + 9.5 = 0.7x + 10
=> 0.76x - 0.7x = 10 - 9.5
=> 0.06x = 0.5
=> x = 50/0.06
=> x = 50/6 = 25/3
=> x = 8.33 oz weight of the first mixture therefore weight of the second mixture would be:
x+25= 8.33+25=33.33 oz
Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. Her job is to analyze which three to buy. How many combinations will she have to analyze
Answer:
10 combinations
Step-by-step explanation:
Given
[tex]n = 5[/tex] --- total production
[tex]r = 3[/tex] --- aircraft to select
Required
The total number of combination
The number of combination is calculated using:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^5C_3 = \frac{5!}{(5 - 3)!*3!}[/tex]
[tex]^5C_3 = \frac{5!}{2!*3!}[/tex]
Expand
[tex]^5C_3 = \frac{5*4*3!}{2*1*3!}[/tex]
[tex]^5C_3 = \frac{5*4}{2*1}[/tex]
[tex]^5C_3 = \frac{20}{2}[/tex]
[tex]^5C_3 = 10[/tex]
A coffee pot holds 5 1/2 quarts of coffee. How much is this in cups?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
22 cups
Step-by-step explanation:
1 quart is 4 cups. So therfore 5 1/2 * 4 =22
Hope this helped :)
The table shows the first three terms of a
geometric sequence. Which of the following is a
formula for f(n) ?
Answer: E
Step-by-step explanation:
By using substitution we can find the answer is correct or not.
[tex]3(-2)^n\\3(-2)^1\\3(-2)\\-6\\3(-2)^2\\3(4)\\12\\3(-2)^3\\3(-8)\\-24[/tex]
as you can see the equation in answer E worked every time
Find the slope of the line
Can y’all help me please
Answer:
w = 5
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
28 = 2(2w-1 + w)
Combine like terms
28 =2(3w-1)
Divide each side by 2
28/2 = 2/2(3w-1)
14 = 3w-1
Add 1 to each side
14+1 = 3w-1+1
15 = 3w
Divide each side by 3
15/3 =3w/3
5 =w
Find the greatest common factor of 56, 42, and 98.
Question 13 options:
A)
7
B)
36
C)
14
D)
24
Answer:
C, 14
Step-by-step explanation:
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14. (The greatest factor that they all have in common.)
Please vote brainliest, thanks!
Amy's art class is 6 hours long. How long is her class in minutes?
Answer:
360 minutes.
Step-by-step explanation:
Answer:
360 minutes
Step-by-step explanation:
On a coordinate map of the school cultural festival, the information booth is located at (4,5). The ticket booth is located 4 units north of the information booth. What ordered pair represents the location of the ticket booth? A-(0,5), B-(8,5), C-(4,9), D-(4,1)
Answer:
B.
Step-by-step explanation:
please help i need it!!!
Answer:
9
Step-by-step explanation:
Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line
m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
The line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = - x + 9 ← equation of line
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth is necessary.
Answer:
V = 29.31 cm^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 (3.14) (2)^2 (7)
V =29.30666
Rounding to the nearest hundredth
V = 29.31 cm^3
What is the explicit formula of the geometric sequence? 5,-15,45,-135
Answer:
Tn=a(-3)^(n-1)
where a is first term and n is number of terms
Step-by-step explanation:
r=-3
5. Today, everything at a store is on sale. The store offers a 20% discount.
a. The regular price of a T-shirt is $18. What is the discount price?
b. If the regular price of an item is x dollars, what is the discount price in dollars?
C. The discount price of a hat is $18. What is the regular price?
Answer:
Step-by-step explanation:
20% = 20/100 = 0.2
The amount you need to pay for a T shirt is
Cost = original amount(100% - 20%)
Original amount = 18
100% - 20% = 80%
80% = 80 / 100 = 0.8
What this means is that you will pay 80% of the original cost.
Cost = 18*0.8
Cost = $14.40
Part B
Cost = 0.8 * x
Part C
Selling price = 0.8*Original Cost
Selling price = 18
18 = 0.8 * x
18/0.8 = x
x = 22.5
The original price was $22.50
The perimeter of a rectangle is 64 cm. The length is 15 cm, how wide is rectangle?
Answer:
17 cm
Step-by-step explanation:
Rectangle perimeter: length*2 + width*2
Substitute width with "x".
Length is given as 15 cm
Perimeter is given as 64 cm
Plug in the values and solve for x.
64 = 2*15 + 2x
64 = 30+2x
2x = 34
x = 17
so width is 17 cm
Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢ for each mile over 250. For what number of miles traveled in one day would the unlimited mileage plan save Lia money? (Show work)
9514 1404 393
Answer:
more than 410
Step-by-step explanation:
For x miles, the second plan costs ...
p2 = 50 +0.25(x -250)
For the first plan to be cheaper requires ...
p1 < p2
90 < 50 +0.25(x -250)
40 < 0.25(x -250) . . . . . . subtract 50
160 < x -250 . . . . . . . divide by 0.25
410 < x . . . . . . . . . add 250
For more than 410 miles in one day, the unlimited plan would save money.
I NEED HELP!! THIS MY FINAL!
Answer:
13.5
18.1
72.2
12.8
6,2
66.1
49.1
14
31.8
Step-by-step explanation:
In solving this question, remember the annotation SOHCAHTOA
1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value
Cos 26 = Adjacent / hypotenuse
cos 26 = x / 15
x / 15 =0.8988
x = 15 x 0.8988 = 13.5
2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value
Sin = opposite / hypotenuse
sin 49 = x / 24
0.7547 = x / 24
x = 0.7547 x 24
x = 18.1
3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value
Tan = opposite / adjacent
tan 14 = 18 /x
18 / 0.2493 = 72.2
4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value
cos 67 = opposite / hypotenuse
0.3907 = 5/x
x =5/ 0.3907 = 12.8
to determine the missing angle
7. tan^-1 = opposite / adjacent
8. cos^-1 = adjacent / hypotenuse
9 = sin^-1 = opposite / hyotensue
What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
B Find the missing length of each side marked with ? in Polygon B.
C Determine the measure of each angle marked with ? in Polygon A.
Answer:
for the lengths, just double the numbrrs
1.5 -> 3
2.5 -> 5
bc the scale factor is two (the upper edge is given)
the angles are just the same, no matter the zoom factor
There are two polygons where B is greater than A.
One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.
So, the scale factor is
[tex]\dfrac{5}{2.5}=2[/tex]
So, the missing sides in polygon B are
[tex]1.5\times2=3[/tex]
[tex]2.5\times 2=5[/tex]
The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.
So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].
Learn more:
https://brainly.com/question/16315840
https://brainly.com/question/13156698
what type of angle is this?
Answer:
obtuse angle
Step-by-step explanation:
Tiana's birthday party costs $2 for every guest she invites. How many guests can there be,
at most, if Tiana can afford to spend a total of $8 on her birthday party?
guests
Answer:
ok so if it cost 2 dollars per guest here what that would look like
1 guest:2$
2 guest:4$
3 guest:6$
4 guest:8$
so she can invite 8 guest
Answer:
4 guest
Step-by-step explanation:
2 dollars for every guest and the budget is $8 so, $2 x 4 guest meets the budget of $8
What is the slope of the line that contains the points (-2, 2) and (3, 4)?
O A.
-
5
2
B.
UIN
O c.
O D.
Answer:
2/5
Step-by-step explanation:
(-2 , 2) = (x1 , x2)
(3 , 4) = (x2 , y2)
slope = y2 - y1/x2 - x1
=4 - 2/3 - (-2)
=2/3+2
=2/5
The y-coordinate if you move five units up from the ordered pair (22, 23)
Hi there!
»»————- ★ ————-««
I believe your answer is:
28.
»»————- ★ ————-««
Here’s why:
A translation rule can be used to find the result of the point after it's found 5 units above.⸻⸻⸻⸻
[tex]\boxed{(x,y) \rightarrow (x, y + 5)}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Applying the translation rule to the point:}}\\\\(22, 23) \rightarrow (22, 23 + 5)\rightarrow(22,\boxed{28})[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Brainiest and 10 points
Answer:
the answer is 4.9
Answer:
12.25 ÷ 2.5= 4.9
the 3rd box
The step function f(x) is graphed. What is the value of f(0)? -2 -1 0 1
Answer:
0
Step-by-step explanation:
It is less than 100 and greater than 10. You use a total of 10 base ten blocks to show this number. The number of ones block is greater than the number of ten blocks. One of the digits is 7.
Answer:
70
Step-by-step explanation:
Find the value of t in rhombus WXYZ.
х
40
W
Y
t+930
N
9514 1404 303
Answer:
t = 31°
Step-by-step explanation:
Opposite angles of a rhombus have the same measure:
4t = t +93°
3t = 93° . . . . . subtract t
t = 31° . . . . . . .divide by 3
Answer:
t= 31°Step-by-step explanation:
hope it helps much too
A 40 g ball of yarn is 125 m long. What is the mass of a ball of the same yarn that is 2 km long?
Answer:
640g
Step-by-step explanation:
1000m=1km so 125m times x= 2km x is 16 so we multiply 16 by 40 to get 640 g
The mass of 2 km long yarn ball is 640.
What is mass?A measure of how much matter is in an object. This gold bar is quite small but has a mass of 1 kilogram (about 2.2 pounds), so it contains a lot of matter.
Given
40 g ball of yarn is 125 m long
To find mass for 2 km = 2000 m long yarn
[tex]\frac{40}{125} \ 2000[/tex] = [tex]\frac{80000}{125}[/tex] = 640g
Hence, The mass of 2 km long yarn ball is 640.
Learn more about mass:
https://brainly.com/question/19694949
#SPJ2
is this table a function? PLEASE HELPPP
Answer:
It is a function.
Step-by-step explanation:
I would suggest use the website Desmos.
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
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