Answers
Answer:
heya! ^^
here , we've been given a right angled triangle along with the measure of two of its sides.
and , we've to find the measure of its third side.
so , we'll be using Pythagoras Theorem to find the measure of the third side.
but first , let's take a look at what Pythagoras Theorem is-
Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.
according to the figure ,
side AB = hypotenuse = 60 cm
side AC = perpendicular = 48 cm
side BC = base = a
now by using Pythagoras Theorem ,
[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]
therefore ,
option ( 4 ) 36 is correct.
hope helpful :D
Answer:
36. (Option 4)[tex] \\ [/tex]
Step-by-step explanation:
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (BC) is aThe perpendicular (AC) is 48The hypotenuse (AB) is 60.[tex] \\ [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]
Therefore,
The measure of the third side (a) is 36.Related Questions
(4x^2+9x-7)-(-7x^2+5x-1)
(4x
2
+9x−7)−(−7x
2
+5x−1)
Answers
Step-by-step explanation:
I think the expression is
(4x² + 9x - 7) - (-7x² + 5x - 1)
and that is the same as
4x² + 9x - 7 + 7x² - 5x + 1 =
= 11x² + 4x - 6
remember that the combination of two '-' signs turns this into one '+' sign.
to subtract a negative number is indeed the same as adding a positive number with the same absolute value.
A bird drops a stick to the ground from a height of 75 ft. The function h= - 16t2 + 75 gives the stick's
approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
graph.
Answers
The function h(t) = -16t^2 + 75 is a quadratic function, and the stick hits the ground at about 2.165 seconds
How to determine the time it hits the ground?The function is given as:
h(t) = -16t^2 + 75
Next, we plot the graph of the function h(t)
From the graph of the function h(t) (see attachment), we have the following highlight:
t = -2.165 and t = 2.165 when h(t) = 0
Time cannot be negative.
So, we have:
t = 2.165
This means that the stick hits the ground at about 2.165 seconds
Read more about quadratic functions at:
https://brainly.com/question/8649555
Solve for w : 5w squared - 5w = 0
Answers
Answer:
The answer is 1
Step-by-step explanation:
5w² – 5w = 0
Add 5w both side
5w² – 5w + 5w = 5w – 5w
5w² = 5w
Now, Divide both side by 5w we get,
5w²/5w = 5w/5w
w = 1
Thus, The value of w is 1
Answer:
w = 1
Step-by-step explanation:
Given :
5w² - 5w = 0Bring 5w to the other side.
5w² = 5w 5 and w are each present on both sides so they cancel out, leaving us with :w = 1Find the volume of the cone
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
Answers
Answer:
Step-by-step explanation:
the circumference for the circle is 23 yd.
Can someone help? I don’t get this one
Answers
Answer:1.4*10^-9
Step-by-step explanation:
Answer:
1.4×10−x^-{9}
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hopefully this helps you!
- Matthew
How many solutions does this system of equations have?
Sy=-4x + 3
2x + 8y = 10
Answers
Answer:
Step-by-step explanation:
Assuming the s is a typo the answer to this system is x=7/15 and y=17/15
please help and tysm!! :)) <3
Answers
Answer:
39
Step-by-step explanation:
above 50 it's nearest 100.
Please mark me as a brainliest
Answer:
38.98
Step-by-step explanation:
Step 1: look at the number after the hundredths place, in this problem being 7
Step 2: Indecate wither thr number is larger than 5 or smaller than 5. If larger you would round up, if smaller you'd round down.
In this problem you would round up.
Step 3: When rounding up you go to the hundredths place and add one to that place. When rounding down, you delete all the values after the hundredths place.
One sixth of the cars that Valerie saw on her vacation were red, and one seventh of them were blue. What part of the cars that she saw was either red or blue?
Answers
Answer:
13/42.
Step-by-step explanation:
That would be the sum of the 2 fractions:
1/6 + 1/7
= 7/42 + 6/42
= 13/42.
Convert 0.631 to a fraction in simplest form and a percent.
Answers
Answer:
63.1%
631/1,000
Step-by-step explanation:
Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?
Answers
Answer:
What would you do when you okay so he said yes would go What would you do when you okay so he said yes would go What would you do when you okay so he said yes would What would you do when you okay so he said yes would goWhat would you do when you okay so he said yes would go
The cyclist drove from the village to the town, 30 km away. back on
the same road, he reduced his speed to 2 km/h and therefore
drove 30 minutes longer. At what speed did the cyclist ride from
the village to the city?
Please I really need your help quick
Answers
Answer:
14.5 hours
Step-by-step explanation:
Take the return trip situation.
From town to village
Distance = 30 kmSpeed = 2 km/hTime = Distance/Speed = 15 hoursThat is equal to the sum of t, the time taken from the village to the city and 30 minutes.
⇒ t + 30 minutes = 15 hours
⇒ t + 0.5 hours = 15 hours
⇒ t = 14.5 hours
katie says the graph of y = 8 (1/2)^x is the same as the graph f(x) = 8(1/2)^x. Do you agree? explain your reasoning.
Answers
Answer:
Yes
Step-by-step explanation:
In two-demensional graphing f(x) and y are used in the same way. They both represent a "function of x"
What is the value of x in trapezoid ABCD?
OX=15
OX-20
OX=45
OX=60
Answers
Answer:
15.
Step-by-step explanation:
1) property:
m(∠B)+m(∠D)=180°;
2) according to the property:
3x+9x=180°; ⇒ x=15°
The value of x is 15 degree in the trapezoid ABCD.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles
A trapezoid is a quadrilateral with one pair of opposite sides parallel.
ABCD is a trapezoid.
We have to find the value of x in the given quadrilateral.
The sum of opposite angles of a quadrilateral is 180 degrees.
m(∠B)+m(∠D)=180°
From the figure m(∠B) is 3x and m(∠D) is 9x
3x+9x=180°
Combine the like terms
12x=180
x=15 degrees.
Hence, the value of x is 15 degree in the trapezoid ABCD.
To learn more on Quadrilateral click:
https://brainly.com/question/29934440
#SPJ5
I need this answered please
Answers
Answer:
37
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets put the values in now :)
35^2 + 12^2 = c^2
1225 + 144 = c^2
1369 = c^2
Now we need to find the square root!
[tex]\sqrt{1369}[/tex] = 37
Have a great day!!
Please rate and mark brainliest!!
Hey Buddy !
Question : -For the following right triangle , find the side length x .
Given : - Perpendicular = 12 Base = 35Hypotenuse = x To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .
Pythagoras Theorem : -According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .
[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseFrom Here Solution Starts : -Substituting the values in formula :
x² = 12² + 35²x² = 144 + 1225x² = 1369x = √1369x = 37[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]
#[tex] \rm{ \bold{Keep \: Learning}}[/tex]Eric is a great skateboard fan. He visits a shop named SKATERS to check some prices. At this shop you can buy a complete board. Or you can buy a deck, a set of 4 wheels, a set of 2 trucks and a set of hardware, and assemble your own board. The prices for the shop's products are:
Eric has 120 zeds to spend and wants to buy the most expensive skateboard he can afford. How much money can Eric afford to spend on each of the 4 parts? Put your answer in the table below.
Answers
Answer:
Deck | 60 zed
wheels | 14 zed
trucks. | 16+16 32 zed
Hardware | 10 zed
total. | 116 zed
remaining 4 zed
Step-by-step explanation:
hope this helps
mark me brainliest
wheels / 14zed
omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!
Answers
Answer:
x = 45, y = 24.
Step-by-step explanation:
If the 2 numbers are x and y:
x + y = 69...........(1)
x = 2y - 3
x - 2y = -3...........(2)
Subtract: (1) - (2):
x - x + y - (-2y) = 69 - (-3)
y + 2y = 72
3y = 72
y = 24.
From equation 1:-
x + 24 = 69
x = 45.
Answer:
one number would be 63 and the other would be 6
Step-by-step explanation:
69/2=34.5
it says 3 less which means minus 3, so you would:
34.5-3=31.5
then it says twice the smaller number, so you would:
31.5*2
can someone help i need a a
Answers
Answer:
Distributive Property
Step-by-step explanation:
You can distribute the 5 to the 6 and 9 in the parenthesis.
Answer:
distributive
is the letter A
Write the measure of this missing angle
Answers
Answer:
c= 30
Step-by-step explanation:
To find the value of c, start by forming an equation using the ∠ sum of ∆ property.
c° +60° +90°= 180° (∠ sum of ∆)
Simplify:
c° + 150°= 180°
c°= 180° -150°
c°= 30°
c= 30
Notes:
The sum of the angles in a triangle is 180°, which is abbreviated as '∠ sum of ∆'. The angle indicated by a square is called a right angle, and has a value of 90°.pls help asap!!!!!!!
Answers
Answer:
[tex]3\cdot \frac{1}{2},\:\frac{21}{7},\:\pi ,\:4.1[/tex]
Step-by-step explanation:
convert the number to all decimals or fraction and compare.
Does the budgeted amount cover the actual amount for expenses, savings, and emergencies? a) no, it's short $207.00. b) no, it's short $227.00. c) yes, there's a surplus of $207.00. d) yes, there's a surplus of $227.00.
Answers
The expense amount is more than the savings amount. No, it's short $207 then the correct option is A.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
From the table, we have
The amount of the savings will be
Saving amount = $ 20
Then the amount of the expense will be
Expense amount = 150 + 75 + 2 = 227
Then the budgeted amount covers the actual amount for expenses, savings, and emergencies will be
→ savings amount - expense amount
→ 20 - 227
→ $ 207
Thus, the expense amount is more than the savings amount. No, it's short $207.
More about the statistics link is given below.
https://brainly.com/question/10951564
Does the point (1, -1) lie on the line (-10x + 5y = -8)? Explain why/why not.
Answers
In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.
In this case, the x-coordinate is:-
[tex]\mathrm{1}[/tex]
and the y-coordinate is:-
[tex]\mathrm{-1}[/tex]
Plug in the values:-
[tex]\mathbf{-10(1)+5(-1)=-8}[/tex]
[tex]\mathbf{-10-5=-8}[/tex]
[tex]\mathbf{-15=-8}[/tex]
Huh?!
As you can see, we ended up with a false statement.
Hence, the answer is:-
[tex]\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}[/tex]
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
the point (1, -1) doesn’t lie on the line (-10x + 5y = -8)
Step-by-step explanation:
Generaly , a point A(x₀ , y₀) lies on the line of equation ax + by = c
If its coordinates verify the equation which means
When we replace x by x₀ and y by y₀ in our equation we get ax₀ + by₀ = c
Then
just replace x by 1 and y by -1 in the equation: -10x + 5y = -8
We get , -10(1) + 5(-1) = -10 - 5 = -15
Since -15 ≠ -8 then (1 , -1) don’t verify the equation
Hence , the point (1, -1) doesn’t lie on the line (-10x + 5y = -8)
What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14 cm?
Answers
Answer:
Step-by-step explanation:
Pyramid height should be 14
Base area should be 14*14(196)
So, Base area is 196
1. Multiply the Base area by the height of the pyramid:
196*14=2744
2. Divide the number above by 3:
2744/3=914.7
A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?
Answers
The approximate surface area of the balloon is 199 cm².
The approximate volume of the balloon is 262 cm³
What is the surface area and the volume of the balloon?Radius of the balloon = circumference / 6.2832
25 / 6.2832 = 3.98cm
Surface area = 4πr²
4 x 22/7 x 3.97² = 199 cm²
Volume = 4/3πr³
4/3 x 22/7 x 3.97³ = 262.20 cm³
To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
You are a chef and you are tasked to prepare a lunch menu proposal for an upcoming
symposium of different youth organizations to be catered by the restaurant your
restaurant. You need to do the following:
1. Come up with 5 sets of lunch menus with a unique title for each. Consider the
different food preferences (according to the age group, culture, and others). (You
may include descriptions and appetizing pictures.)
2. Out of these menus, how many ways can the event organizer choose 3 out of the
five lunch menus you prepared for their initial selection? (Show your solution)
a. With repetition
b. Without repetition
3. Give at least 3 of these ways.
a. With repetition
b. Without repetition
Your output will be rated according to the following criteria:
Presentation of the Lunch Menus (which may include pictures). Accuracy of the use of
Mathematical Concepts (Combination and/or Probability of Simple Events), and
Feasibility of the Proposed Lunch Menus.
Answers
The lunch menu is an illustration of permutation and combination
There are 125 ways to select three lunch menus with repititionThere are 10 ways to select three lunch menus without repititionThe lunch menu
To answer this question, the following set of lunch menu would be used:
Fish and chips.Ham sandwich.Superfood salad.Cheese sandwich.Jacket potato with filling.How to select 3 lunch menu with repitition?Since the event organizers can repeat lunch menu, then each of the 5 lunch menus can be selected each of the 3 times.
So, the number of selection is:
n = 5³
Evaluate
n = 125
Possible selections are:
Fish and chips, Jacket potato with filling and Jacket potato with filling.Ham sandwich, Ham sandwich and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichHow to select 3 lunch menu with repitition?Since the event organizers cannot repeat lunch menu, then each of the 5 lunch menus can be selected once of the 3 times.
So, the number of selection is:
n = ⁵C₃
Evaluate
n = 10
Possible selections are:
Fish and chips, Jacket potato with filling and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichFish and chips, Ham sandwich and Superfood salad.Read more about combination at:
https://brainly.com/question/11732255
The radius of a circle is 11 miles. What is the circle's circumference?
Answers
Answer:
69
Step-by-step explanation:
The formula for a circumference with the radius is C=2πr=2·π·11≈69.11504mi.
Which rule best describes the pattern?
3, 9, 27, 81, ___, ____, ___
A. Add by 6
B. Add by 6, add by 18
C. Divide by 3
D. Multiply by 3
Answers
Answer:
D. Multiply by 3
Step-by-step explanation:
Given:
A sequence 3,9,27,81,__,__,__To find:
PatternNotice that if you keep multiplying by 3:
3*3 = 99*3 = 2727*3 = 81Then you will get exact sequence as given, so next 3 missing terms have to be:
81*3 = 243243*3 = 729729*3 = 2187Hence, the pattern for this sequence is to multiply by 3.
Note
This given sequence is called Geometric Sequence, a sequence with common ratio.Common Ratio can be found by dividing next term with previous term. (I.e. 9/3 = 3 so a common ratio for this sequence is 3)By multiplying previous term with a common ratio, you get the next term.help me in this question
Answers
Answer:
1.63 cm
Step-by-step explanation:
Volume of water in Tank A
7 x 7 x 7343 cm³Volume of Tank B
15 x 14 x 10210 x 102100 cm³Finding Height
Volume of water of Tank A filled in Tank B / Base Area of Tank B343 / 2101.63 cmAnswer:
1.63 cm (nearest hundredth)
Step-by-step explanation:
Formulae
Volume of a cuboid = base width × base length × height
Area of a rectangle = width × length
Tank A
Given:
base width = 7 cmbase length = 7 cmheight = 7 cm⇒ Volume of Tank A = 7 × 7 × 7 = 343 cm³
Tank B
⇒ Base area of Tank B = 14 × 15 = 210 cm²
Solution
Height = volume of Tank A ÷ base area of Tank B
= 343 ÷ 210
= 49/30 cm
= 1.63 cm (nearest hundredth)
-4. A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. If the car
continues to travel at this rate, which equation can be used to determine y, the total
number of miles the car will travel, in x hours?
(2017)
A. y=48x
B. y=x+48
C. 48y = x
D. 48+y=x
Answers
Answer:
A. Is the answer
I'm correct right?
75 percent of 32 students had an A,how many students did not get an A?
Answers
Answer:
8 did not get an A
Step-by-step explanation:
75% obtained an A , then
25% did not obtain an A
25% of 32
= [tex]\frac{25}{100}[/tex] × 32
= 0.25 × 32
= 8
Kalyue drew a rectangle with a perimeter of 20 inches. Then he tried to draw a square with a perimeter of 20 inches. What are the dimensions of square with a perimeter of 20 inches?
Answers
Step-by-step explanation:
a square has 4 identical sides.
so, when you have to "walk" around the perimeter of a square you have to go 4 times the same distance.
therefore
20 = 4×side length
side length = 20/4 = 5 in
it is a 5 in × 5 in square.
FYI a rectangle has 2 pairs of sides that are equally long inside their pair.
and so you have in this case a perimeter of
2×6 + 2×4 = 12 + 8 = 20 in
