Answer:
Step-by-step explanation:
New Note 2
Given coordinates:
B(1,2)
E(-5,3)
A(-6,3)
Part A, isosceles triangle
Need to find lengths of sides
BE^2 = ((-5-1)^2+(3-2)^2) = 36+1 = 37
BA^2 = ((-6-1)^2+(-3-2)^2) = 49+25 = 74
EA^2 = ((-6-(-5))^2+(-3-3)^2) = 1+ 36 = 37
Since BE^2 = EA^2, BE=EA, or triangle BEA is isosceles, with vertex at E.
Part B, find point R so that BEAR is a sqare
Need to show that the vertex angle, BEA is a right angle.
BA is diagonal and E is 90° if
BE^2 + EA^2 = BA^2
or
37+37 = 74
Hence angle BEA is right anglesd, and the two legs are eaual with length sqrt(37)
To find point R, we find the translation from point E to point B, i.e. from the vertex to end of one of the legs.
EB = B - E = (1-(-5))-(2-3) = <6,-1>
To find point R, apply this translation to the end of the other leg, i.e. point A,
R=A(-6,-3) + <6,-1>=R(0,-4)
Check:
RE (diagonal)^2 = ((0-(-5))^2+(-4-3)^2) = 25+49 = 74 checks
RB^2 = ((0-1))^2+(-4-2)^2) = 1+36 = 37 checks
RA^2 = ((0--(-6))^2+(-4-(-3))^2) = 36+1 = 37 checks
Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?
Answer:
324.13°
Step-by-step explanation:
Applying,
cosA = 4/5
To find the value of A, we find the inverse of the cosine of both side,
(cosA)cos⁻¹ = cos⁻¹(4/5)
A = cos⁻¹(0.8)
A = 36.87° (First quadrant)
The above value of A is its value in the first quadrant
To find the value of A in the fourth quadrant, we use the expression
∅₄ = 360-∅₁............... Equation 1
Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.
Therefore,
∅₄ = 360-36.87
∅₄ = 324.13°
Hence the value of A in the fourth quadrant is 324.13°
Four coins are tossed in succession. What is the probability of getting all heads?
1/4
1/2
1/16
Answer:
1/16
Step-by-step explanation:
There is a 1/2 chance to flip a heads.
So, in this case, we would multiply 1/2 four times in reference to the coins being flipped a total of 4 times to find its probability.
1/2 x 1/2 x 1/2 x 1/2 = 1/16
Thus, there is a 1/16 chance that you'd get heads four times in a row.
Use similarity to solve for the length of side XY. Round to the nearest tenth.
Answer:
5.1
Step-by-step explanation:
What is the area of the triangle?
2
2
Answer:
A=h(b)b/2
Step-by-step explanation:
please help i need help
no links or ill report you
Please help with this question
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
Answer: 1436 units cubed (3.14) or 1437 units cubed (π)
Step-by-step explanation:
answer depends on if you substitute in 3.14 for π or not
Badwater Basin, California, has the lowest elevation in North America. It is 279 feet below sea level. New Orleans, Louisiana, is 7 feet below sea level.
Answer:
272 feets
Step-by-step explanation:
Badwater Basin = 279 feets below sea level = - 279 feets (relative to sea level)
New Orleans = 7 feets below sea level = - 7 feets (relative to sea level)
Hence,
New Orleans is higher Than Badwater Basin by :
279 feets - 7 feets
= 272 feets
Write the equation of the line through (8,-2); m = 0
ANSWER ASAP PLEASE!!
Answer:
y = -2
Step-by-step explanation:
The formula for point-slope is as follows:
y - y1 = m(x - x1)
We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):
y + 2 = 0(x - 8)
y + 2 = 0
y = -2
3.9047 rounded to the nearest thousandth
please help
Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.
Step-by-step explanation:
You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.
Find the range of the function f(x)=x2+5 given the domain (-2,-1,0,1,2)?
Answer:
(5, 6, 9)
Step-by-step explanation:
The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:
f(-2) = 9
f(-1) = 6
f(0) = 5
f(1) = 6
f(2) = 9
Since we can't have repeats in the range, it would be: (5, 6, 9)
NEED HELLPPP ASAP
(Thank you)
Answer:
ask your teacher it would be good for you and also teachers give u good thing about that okay but i can't help you sorry.
Step-by-step explanation:
What is the value of this expression? 6 (24÷ 3) - 2
Answer:
6 (24÷3) -2
6 (8) -2
48-2
=46
Brackets of division multiplication add and subtract
Please help me with this question no links please.
Find the value of x, please help me :)
Answer:
x=32
Step-by-step explanation:
To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32
Can someone help me with this? 13 points!
depth at point B = 5 m
Step-by-step explanation:
y = -(2/5)x - 1
Point C is located 10 m from the origin O which means that x = 10. Using this value in our equation,
y = -(2/5)(10) - 1
= -4 - 1
= -5
Choose the set of three sides that correctly matches each description. Each option will be used only once.
Answers:
30-60-90 triangle = 4, 8, 4*sqrt(3)45-45-90 triangle = 6, 6, 6*sqrt(2)Right triangle, but not special right triangle = 6, 8, 10Triangle but not a right triangle = 7, 8, 10Not a triangle = 7, 12, 19======================================================
Explanation:
The template for a 30-60-90 triangle is that the short leg x leads to hypotenuse 2x, and longer leg x*sqrt(3). If x = 4, then we get the sides 4, 8, 4*sqrt(3) which are the short leg, hypotenuse, and long leg in that order.
----------------
The template for a 45-45-90 triangle is that we have x as the leg length and x*sqrt(2) as the hypotenuse. If x = 6, then we end up with the sides 6, 6, 6*sqrt(2)
-----------------
The triangle with sides 6, 8, 10 is a right triangle because a = 6, b = 8, c = 10 makes a^2+b^2 = c^2 true. I'm using the converse of the pythagorean theorem. We don't have a special right triangle because these sides do not fit the templates mentioned in the previous two sections above.
-------------------
The triangle with sides a = 7, b = 8, c = 10 on the other hand will not make a^2+b^2 = c^2 true. Note that a^2+b^2 = 7^2+8^2 = 113 which is not the same as 10^2 = 100. However, a triangle is possible because adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
-------------------
We cannot form a triangle with sides 7, 12, 19 because the sides 7 and 12 add to 7+12 = 19 but that's not longer than the third side 19.
The triangle inequality theorem says that if you want to form a triangle with sides a,b,c then the following three inequalities must all be true
a+b > c
a+c > b
b+c > a
An apartment cost $870 per month to rent. The owner raises the price by 20% and then gives a discount of 8% to returners who sign an 18 month lease. How much less the renters who signed the 18 month lease pay per month to rent the apartment
Answer:
$34.8
Step-by-step explanation:
Given data
Cost of apartment= $870 per month
increase= 20%
Discount= 8%
Let us find the amount of increase
=20/100*870
=0.2*870
=$174
New cost = 870+174
=$1044
New cost of apartment for 18 month
=1044*18
=$18792
He gave them 8% discount
=8/100*18792
=0.8*18792
=$15033.6
Hence the monthly fee will be
=15033.6/18
=$835.2
Therefore the difference in price is
=870-835.2
=$34.8
Please help me answer
Answer:
Step-by-step explanation:
the circumference you make it using the diameter , pi times ( 3.142 times)
C = 13* 3.142 = 40.846
help please i forgot how to do it, its easy tho
Answer:
answer is 20................................
A jar with screws weighs 2.9 kg. A similar jar with nails weighs 700 g. The screws weigh five times as much as the nails. How much does the jar weigh?
Find the composite area
Answer:
Area of the composite figure = 42 in²
Step-by-step explanation:
Composite area of the given figure = Area of the rectangle + Area of the right triangle
Area of the rectangle = Length × Width
= 6 × 5
= 30 in²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(4)(6)[/tex]
= 12 in²
Area of the composite figure = 30 + 12
= 42 in²
Solve for 2. Round to the nearest tenth, if necessary.
Answer: the answer is 51.41281
Step-by-step explanation:
Sin=opp/hyp. sin(40)=x/69. x=69sin(40). x=51.41281
Klarissa is baking a cake. The recipe calls for \large 1\frac{3}{4} cups of flour, and Klarissa wants to triple the recipe. How much flour does she need?
Answer: [tex]5\dfrac{1}{4}\ \text{cups of flour}[/tex]
Step-by-step explanation:
Given
Klarissa requires [tex]1\ \frac{3}{4}[/tex] cups of flour to make a recipe
Convert mixed numeral to fraction
[tex]\Rightarrow 1\dfrac{3}{4}=\dfrac{4+3}{4}\\\\\Rightarrow \dfrac{7}{4}[/tex]
If she wants to triple the recipe then,
[tex]\Rightarrow 3\times \dfrac{7}{4}=\dfrac{21}{4}\\\\\Rightarrow \text{or}\ 5\dfrac{1}{4}\ \text{cups of flour}[/tex]
49 × 66 + 49 × 34 = 49 × ( ____+ _____)
Answer:
49×66+49×34 = 49× (66+34)
Answer:
49×66+49×34 = 49× (66+34)
Step-by-step explanation:
Please help me thanks :))
Answer:
What do you need help with?
which ratio is incorrectly written in Olivia's conversion?
Answer:
Choice 3
Step-by-step explanation:
The third fraction (third refers to the answer number) is incorrect. As written, the cups won't cancel. The correct way to do this is to invert the fraction.
4 tablespoons
===========
1/4 cup
This is an extremely important procedure to know. Make sure you understand what the basis of it is. Often times in higher physics, you don't have a proper relationships and this method (called dimensional analysis) is the only tool you have to work with.
So each term has at least 1 cancelation that occurs with the prior term. And it is the units that you look to cancel, and that determines which way to put the intermediate steps.
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?
Answer: 3 quart
Step-by-step explanation:
Given
Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket
1 gallon can be written as 4 quart
So, 2 gallon can be written as 8 quart
Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added
[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]
So, 3 quart of water must be added to reach 2 gallon capacity.
A birthday present (rectangular prism) you are wrapping has a 10 inch length, 8 inch
width, and a 4 inch height. How many square inches of wrapping paper will you need to
wrap it?
can you help me
Answer:
320 square inches
Step-by-step explanation:
10*8=80
80*4=320
final answer: 320 square inches
Henry says he can write an 8 in each box to make both equations true. Is he correct?
Answer:
yes it's true because 3 groups of 8 is 24