Problem 13
Answer: Choice C. x = 7*sqrt(2), y = 7----------------------------
Explanation:
For any 45-45-90 triangle, the legs are the same length. One leg is 7, so the other leg is 7 as well. This means y = 7.
The hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. So that leads to 7*sqrt(2) being the hypotenuse. You can use the pythagorean theorem to solve 7^2+7^2 = x^2 to confirm that x = 7*sqrt(2)
============================================================
Problem 14
Answer: Choice D. x = 3, y = sqrt(3)------------------------------
Explanation:
The hypotenuse is 2*sqrt(3). Take half of this to get sqrt(3), which will be the length of the short leg y. So y = sqrt(3)
Multiply the short leg's length with sqrt(3) to get the length of the long leg
In other words,
long leg = (short leg)*sqrt(3)
long leg = sqrt(3)*sqrt(3)
long leg = sqrt(3*3)
long leg = sqrt(9)
long leg = 3
Therefore, x = 3
All of this applies to 30-60-90 triangles only. Like with problem 13, if you know two sides of a right triangle, you can use the pythagorean theorem to solve for the third missing side.
Plz help me-7.1(z-1.1)
Answer:
-7.1z +7.81Step by step explanation:
[tex] - 7.1(z - 1.1)[/tex]
Multiply each term in paranthesis by -7.1
[tex] - 7.1 \times z - 7.1 \times ( - 1.1)[/tex]
Multiply:
[tex] -7.1z + 7.81[/tex]
Hope this helps...
Good luck on your assignment..
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12x-15
Step-by-step explanation:
In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked) then subtracted 15, which was the fine she had to pay.
Answer:
12x-15
Step-by-step explanation:
I took the test
The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.
Answer:
50
Step-by-step explanation:
I have set up an equation, where 'x' is the larger number:
x + (x - 12) = 88
Solve for 'x':
x + (x - 12) = 88
x + x - 12 = 88
2x - 12 = 88
2x -12 + 12 = 88 + 12
2x = 100
2x/2 = 100/2
x = 50
The larger number should be 50.
Answer:50
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
Valid
Step-by-step explanation:
No calculations, but,
Def. of isosceles triangle= two congruent sides.
yes is isosceles
Step-by-step explanation:
valid
2(x+3)=x-4 i really need help on this plss
Answer:
X = -10Step-by-step explanation:
[tex]2(x + 3) = x - 4[/tex]
Multiply each term in the parenthesis by 2
[tex]2 x + 6 = x - 4[/tex]
Move variable to L.H.S and change its sign
[tex]2x - x + 6 = - 4[/tex]
Move constant to R.H.S and change its sign
[tex]2x - x = - 4 - 6[/tex]
Calculate
[tex]x = - 10[/tex]
Hope this helps...
Good luck on your assignment...
a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box
Answer:
The asnwer is 12100 cm^2 of plastic without lid
Step-by-step explanation:
There 6 sides in a box, but there is no lid so only 5 sides.
Calulate the area of all 5 sides and add them up.
( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )
=12100 cm^2
will mark !!BRAINLIEST!! for correct answer. Select all that apply. Which of the following shows that 5/6 = 15/16 is a proportion?
5 • 15 = 6 • 18
5 • 18 = 6 • 15
5.6/6.3 = 5/18
5+10/6+12 = 15/18
Answer:
5+10/6+12
Step-by-step explanation:
5+10 is 15
6+12 is 18
so that would be 15/8 which is equal to 15/18
That is the best answer but this question doesn't really make sense.
Hope this helps!
Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!
actually 5/6 and 15/16 are not in proportion
since 6*15 is not equal to 16*5
Given the following three arithmetic sequences : 1, 3, ... and 1, 4, ... and 1, 5, ... A number is randomly selected from 1 to 1000, inclusive. What is the probability that the selected number is not a term of any of the given sequences?
Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
__
The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
__
The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
__
So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
Answer:
1/3
Step-by-step explanation:
Find the area of the given shape
Answer:
100
Step-by-step explanation:
A rhombus is split into four right triangles
The base of one is 5 and the hypontenuse is 10
So remember x^2y^2=z^2
5^2=25
25+y^2=100
Ok so y is between 8 and 9 so lets just use 8 first
5*8*1/2=20
there are 4 triangles so 20*4=80
now same thing with 9
5*9*1/2=22.5
22.5*4=90
your answer is between 80 and 90
btw i might have gotten the answer wrong but idk if u were supposed to have an exact answer and also idk if the "10" was the hypontheses but since u were probably offline i answered it
State if a triangle is acute, obtuse, or right.
A) Obtuse
B)Acute
C)Right
ANSWER QUICK 10 POINTS!!
Answer:
acute
Step-by-step explanation:
Can someone help? Two players take turns placing multiple chess kings on the cells of a 9×9 chess board, one king per move, so that the kings do not beat each other. (The color of a king piece does not matter.) The player who cannot make a move loses. Which player is the winner?
Answer:
the first player wins
Step-by-step explanation:
The first player can always win if they adopt this strategy:
1. make the first move in the center of the board
2. make every subsequent move in the position that is the image of the 2nd player's move, reflected across the center.
Hence if the 2nd player can make a move, so can the first.
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
Answer:
D. The coefficient of the x^2-term must be positive.
Step-by-step explanation:
A. The coefficient of the x2-term can't be zero.
B. There can be no term whose degree is higher than 2.
C. One side of the equation must be zero.
D. The coefficient of the x2-term must be positive.
Quadratic equation is given as:
y=ax^2+bx+c
To use the quadratic formula,we have
ax^2+by+c=0
Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0
There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2
One side of the equation must be 0, that is ax^2+by+c=0
Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−8,8) Midpoint: (−7,0)
Answer:
(-6, -8)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply set our variables to what we know and solve:
-7 = (-8 + x)/2
-14 = -8 + x
x = -6
0 = (8 + y)/2
0 = 8 + y
y = -8
Answer:
The other endpoint is (-6,-8).
Step-by-step explanation:
If you follow the slope that the two points made (Endpoint: (−8,8) Midpoint: (−7,0), the slope is -[tex]\frac{-8}{1}[/tex] ) you follow it down like this:I hope this helps
I need help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is just comparing what is bigger, I don't see what's so hard about it.
Step-by-step explanation:
1. >
2.>
3.>
4.>
5.<
6.<
7.>
8.<
b.
1.>
2.<
3.>
4.<
5.>
6.>
7.>
8.>
If P(x)= x3 –x2+1, Then P(0)+P(1) =
Answer:
[tex]p(0) + p(1) = 2[/tex]
Step-by-step explanation:
=> [tex]p(x) = x^3-x^2+1[/tex]
Putting x = 0 in p(x)
=> [tex]p(0) = (0)^3-(0)^2+1[/tex]
=> [tex]p(0) = 0-0+1[/tex]
=> [tex]p(0) = 1[/tex]
Putting x = 1 in p(x)
=> [tex]p(1) = (1)^3-(1)^2+1[/tex]
=> [tex]p(1) = 1-1+1[/tex]
=> [tex]p(1) = 1[/tex]
So,
=> [tex]p(0)+p(1) = 1+ 1[/tex]
=> [tex]p(0) + p(1) = 2[/tex]
3/8 is 4 & 3/5 % of what number? (Round to the nearest hundredth.)
Answer:
n = 8.15
Step-by-step explanation:
3/8 is 4 & 3/5 % of what number?
Rewrite this as: 3/8 is (4 3/5)% of what number?
Convert 4 3/5% into a decimal: 0.046
Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.
Dividing both sides by 0.046, we get n = 8.15
Question 5 of 10
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = 3x - 4
y=-2x+1
A: (0, -4)
B. (2, 2)
C. (3,5)
D. (1,-1)
Answer:
D.(1,-1)
Step-by-step explanation:
A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both
Answer:
D. 1, -1
Step-by-step explanation:
Trust me g
pls help me with 15 and 16 I will make u brianlist thank u:)
Answer:
15. c
16. b
i hope you figure out later in life how to solve.
Answer:
A, D
Step-by-step explanation:
When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.
Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.
Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.
Please help me prove that AÊD = B
In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.
Answer:
128
Step-by-step explanation:
You have two jars and seven marbles.
You do [tex]2^{7}[/tex].
That is 128
Please help solve i give brainliest
Answer:
(0,3)
Step-by-step explanation:
y = 2x+3
y = -3x+3
Since both equations are equal to y, set them equal to each other
2x+3 = -3x+3
Subtract 3 from each side
2x = -3x
Add 3x to each sdie
2x+3x = -3x+3x
5x =0
Divide by 5
x=0
Now solve for y
y =2x+3
y = 0+3
y=3
(0,3)
Answer:
(0,3)
Step-by-step explanation:
y = 2x+3
y = -3x+3
2x+3 = -3x+3
2x = -3x
2x+3x = -3x+3x
5x =0
x=0
The solve for y
y =2x+3
y = 0+3
y=3
(x,y)=(0,3)
Then (0,3) will be your answer!
Hope this help!
Find the value of the trigonometric ratio, tan X.
Answer:
A. 24/7
What are sine, cosine, and tangent?
SOH - CAH - TOA
sine = opposite/hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite/adjacent (that is not hypotenuse)
Step-by-step explanation:
tanX = ZY/XY = 48/14 = 24/7
Answer:
24/25
Step-by-step explanation: opposite side
The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25
adjacent side
In how many ways can we put six marbles in different colors into three jars? Note that the jars may be empty.
Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways in which 6 marbles can be put in three different jars is 720.
What is Permutation?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
Given that there are 6 marbles and 3 different jars. Therefore, The number of ways in which 6 marbles can be put in three different jars is,
Number of ways = ⁶P₃ × 3!
= 120 × 6
= 720
Hence, The number of ways in which 6 marbles can be put in three different jars is 720.
Learn more about Permutation:
https://brainly.com/question/11732255
#SPJ2
Which of the following equations describes the graph?
1/2x^2 - 2x +1
Step-by-step explanation:
it cannot be negative x as the parabola has a minimum value, the coordinates of turning point is (-1,2)
as it is -1 there has to be a negative sign in equation
so the right one is 2nd one
Answer:
Step-by-step explanation:
the graph is clearly that of a parabola that opens up and has its vertex at (2, -1). The coefficient of x^2 must be + because the parabola opens up.
Using the point-slope formula y - k = a(x - h)^2, and letting 2 replace h and -1 replace k, we get:
y + 1 = a(x - 2)^2 or y = a(x - 2)^2 - 1
Which expressions are equivalent to the one below? Check all that apply.
4^3•4x
The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].
What is an expression?An expression is a combination of symbols and it does not convey full meaning of anything.
How to make equivalent expressions?We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.
If we see that both bases are equal so we will add the power with only one base from which 4^{x+3} .
If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]
Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.
Learn more about equivalent expressions at https://brainly.com/question/2972832
#SPJ2
In a linear function, which of the following represents the average rate of change of the function? Slope y-intercept independent variable dependent variable
Answer:
the slope
Step-by-step explanation:
If the function is linear, the average rate of change of y with respect to x is the slope of the line.
Answer:
slope
Step-by-step explanation:
10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?
Answer:
2 1/3 hours or 2 hours 20 minutes.
51.4 mph to 1 decimal place.
Step-by-step explanation:
Time = distance speed
First 50 miles time taken = 50 / 60 = 5/6 hours
Second 50 miles - time = 50/40 = 5/4 hours.
Final 20 miles - time taken = 20 / 80 = 1/4 hours.
Total time taken = 5/6 + 5/4 + 1/4
= 5/6 + 6/4
= 10/12 + 18/12
= 28/12
= 7/3 or 2 1/3 hours or 2 hours 20 minutes.
Average speed = total distance / total time
= 120 / 7/3
= 120 * 3/7
= 51.4 mph to 1 decimal place.
20 POINTS! An 85-foot wire is tied from the top of a utility pole to the top of the building as shown. Find d, the distance from the pole to the building.
Answer:
d = 78.810 feetStep-by-step explanation:
To find the distance d we use sine
sin∅ = opposite / hypotenuse
d is the opposite
the hypotenuse is 85ft
∅ = 68°
sin 68 = d / 85
d = 85 sin 68
d = 78.810 feet
Hope this helps you
Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2
Answer:
The answer is option A.
804.2cm²Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
radius = diameter / 2
radius = 16/2 = 8cm
Surface area of the sphere is
4π (8)²
= 4(64)π
= 256π
= 804.2cm²
Hope this helps you.
If the gradient is negative or positive how will it be Please i need it now! Thanks
Answer:
A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.
Step-by-step explanation: