Answer:
64 pi mi^2 or approximately 200.96 mi^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A= pi (8)^2
A = 64 pi mi^2
If we approximate pi by 3.14
A = 64 (3.14)
A =200.96 mi^2
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
Answer:
5:15 or can be simplified to 1:3
Step-by-step explanation:
There are 5 boys out of 15 total students in glee club.
Which of the listed values are equal to the sine of C A.)b/a B.)c/a C.)c/b D.)cos B E.)5.Cos C F.)cos (90°-C) G.)cos(90°-B)
Answer:
Sine of C=?
Among the given options which is the correct one.
Step-by-step explanation:
Consider a right-angle triangle ABC.
[tex]angle B=90^{0}[/tex]
In a right angle triangle, one angle [tex]90^{o}[/tex].
The sum of all the angles is [tex]180^{o}[/tex].
[tex]angle A +angle B+angleC=180^{0}angleA+90^{0} +angle C=180^{0}\\angleA+angleC=180^{0} -90^{0} \\angleA+angleC=90^{0} \\angleA=90^{0} -angle C[/tex]
Consider the trigonometric ratios and use the traingle ABC.
[tex]SinC=\frac{AB}{AC}[/tex]
[tex]CosA=\frac{AB}{AC}[/tex]
[tex]angleA=angle(90-C)\\Hence,\\SinC=Cos(90-C)[/tex]
Answer:
OptionF).[tex]Sine of C=Cos(90^{0} -C)[/tex]
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
B. ∠EYL and ∠AYS
D. ∠SYL and ∠EYA
Step-by-step explanation:
A vertical angles are the pair of angles on the opposite sides of intersecting lines
In the given figure, the pair of intersecting lines are;
Line AYL and line SYE
The vertical angles formed by the lines [tex]\overline{AYL}[/tex] and [tex]\overline {SYE}[/tex] are;
From East to West (left to right direction) angles ∠EYL and ∠AYS
From the direction of 'H' ∠SYL and ∠EYA
Therefore, the correct options are;
B. ∠EYL and ∠AYS and D. ∠SYL and ∠EYA.
Graph (2,1) (2,4) (5,1)
Answer:
Use a calculator for this like desmos graphing
Step-by-step explanation:
What is the value of x in the figure?
90
70
60
50
Answer:
50
Step-by-step explanation:
90-30=60
x + 10 = 60
-10
x = 60-10
x = 50
Grammy is buying a pair of Jeans that regularly cost $40. They are on sale for 20% off.
If the tax rate is 8%, what is the sale price of the Jeans Including tax?
Answer:
$34.56
Step-by-step explanation:
First, find the discount price.
20% of 40
20/100 x 40= $8
Deduct the discount from the original price.
40 - 8 = $32
This is the discount price.
Now, find 8% (tax) of the price.
8/100 x 32 = $2.56
Add it to the price.
32 + 2.56 = $34.56
Hope this helps!
The size of angle DEF
Answer
132 degrees
Step-by-step explanation:
Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF
The sum of the four angles of any quadrilateral is 360 degrees.
Since three angles are given, we can use that to find the fourth.
360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.
Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).
DEB+DEF=180
48+DEF=180
DEF=180-48=132 degrees.
Thus, angle DEF is equal to 132 degrees.
1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+3+3+3+3+3+3+3776857867458675894678476845768478574=
Answer: 3776857867458675894678476845768478614
Step-by-step explanation:
Because it is lol
Lol i think its wrong
Answer:3776857867458675894678476845768478614
help me please thank you
Answer:
99 feet
Step-by-step explanation:
55 plus 44 ur welcome pus sy
The length of two leg are given as AC = 55ft AB = 44ft. Hence, The length of the missing leg is 33 ft.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let's consider the right angle triangle ABC.
The length of two leg are given as
AC = 55ft
AB = 44ft.
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|55|^2 = |44|^2 + |BC|^2 \\\\ |BC|^2= 3025 - 1936\\\\ |BC|^2 = 1089\\\\ |BC| = \sqrt{1089} \\\\ |BC| = 33[/tex]
Hence, The length of the missing leg is 33 ft.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ2
heyy pls answer quickly i need help on math again
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Explanation:
y = 5 because the long leg is exactly sqrt(3) times that of the short leg.
The short leg is always opposite the 30 degree angle.
The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10
All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.
who could help me out with this
Answer:
can you send a picture of the drop down menus, i cant see the option choices so i cant help
Step-by-step explanation:
If B is a point AC and AB:BC = 1:2, what are the coordinates of B?
Answer:
B(x, y) = (-2, -2)
Step-by-step explanation:
Given: AB: AC (m₁: m₂) = 1 : 2, A (x₁, y₁) = (-5, 2) and B(x₂, y₂) = (4, -10)
To find: Coordinates of B (x, y)
Using section formula:
Therefore Coordinates of B (x, y) is (-2, -2).
Step-by-step explanation:
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
A teacher asked her pupils what their favourite school subject was.
PE
273
Maths
English
135
Science
3 pupils said PE was their favourite subject.
How many pupils said that Maths was their favourite subject?
Can someone help me please
Gus has a fish tank that holds 4710 inches^3 of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.
Answer:
3
Step-by-step explanation:
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi
Number of times = volume of tank /volume of cylinder
volume of cylinder = πr²h
3.14 x 5² x 20 = 1570
4710 / 1570 = 3 times
solve y= -2^(-x-3)= -4
can someone help me with this
Answer:
x = 5
Step-by-step explanation:
within this triangle are two congruent right triangles with height of 4 and base of 3 (half of 6)
use the Pythagorean Theorem to find 'x':
3² + 4² = x²
9 + 16 = x²
x² = 25
x = √25
x = 5
PLEASE I REALLY NEED HELP I ONLY HAVE AN HOUR LEFT TO FIINISH THIS What is the relationship or pattern you see between the month and the daylight hours?
Answer:
T he pattern shows that the number of hours of daylight per day is higher in the summer and lower in the winter. This pattern is caused by the tilt of Earth's axis. At some points in Earth's orbit around the Sun, the tilt causes one hemisphere to lean toward the Sun while the other one is tilted away.
Step-by-step explanation:
can anybody tell me if this is correct please? thank you.
Answer:
Yep
Step-by-step explanation:
You're correct, Well done!
Answer:
Yes that is correct!
Step-by-step explanation:
(38 x 25)/100 = $9.50
38 - 9.50 = $28.50
Help didn’t realize these were due
Answer:
Step-by-step explanation:
express 7.36 as rational number
Answer: The ratio would be 73.6
Write a function in any form that would match the graph shown below.
Answer:
y + 16 = -1(x + 3)²
Step-by-step explanation:
Looking at the graph, parabola vertex opens upwards with x intercepts as -5 and -1.
Thus, the line of symmetry will be;
x = (-5 + (-1))/2 = -3
Looking at the graph we can see that the vertex when traced to the x - coordinate will be 3 which is same with what we got.
Now, the general form of the equation will be;
y - h = a(x - k)²
where (k,h) is the vertex coordinate
Thus, k = -3
So;
y - h = a(x - (-3))²
>> y - h = a(x² + 6x + 9) =
>> y = ax² + 6ax + 9a + h
When, x = 0
y = 9a + h
From the graph, we can see that the y-intercept is y = -25
Thus;
9a + h = -25
From the graph, h which is the y-coordinate of the vertex = -16
Thus;
9a - 16 = - 25
9a = -25 + 16
9a = -9
a = -9/9
a = -1
Thus, the equation is;
y - (-16) = -1(x - (-3))²
>> y + 16 = -1(x + 3)²
Please tell me if these two are complementary, supplementary or neither!
Answer:
Two Complementary
Step-by-step explanation:
Please help me with this im pretty confused
Answer:
3
Step-by-step explanation:
We are looking for the cube root of 27
x*x*x = 27
What number times itself 3 times is 27
3*3*3 =27
Answer:
❍. 3
Step-by-step explanation:
[tex] \small \sf \leadsto \: \: \sqrt[3]{27} [/tex]
Let the cube root of 27 be x.
[tex] \small \sf \leadsto \:x × x × x = 27[/tex]
[tex]\small \sf \leadsto \:x {}^{3} = 27[/tex]
Taking cube root of both side
[tex]\small \sf \leadsto \: \sqrt[3]{x} = \sqrt[3]{27} [/tex]
[tex]\small \sf \leadsto \: \sqrt[]{x \times x \times x } = \sqrt{3 \times 3 \times 3} [/tex]
[tex]\small \sf \leadsto \:x = 3[/tex]
Verification :-
3 × 3 × 3 = 27
27 = 27
LHS = RHS
The third grade students collected 90 cans of food for a food drive. They want to put an equal number of cans into each of 6 boxes. How many cans will they put into each box?
Answer:
15
Step-by-step explanation:
90/6
10x6=60
90-60=30
6x5=30
30-30=0
10+5=15
Evaluate the question.
-8x = 90
A.) x = 82
B.) x = 45/4
C.) x = -45/4
D.) x = -82
Answer:
C.) x = -45/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-8x = 90
Step 2: Solve for x
[Division Property of Equality] Divide -8 on both sides: x = 90/-8Simplify: x = -45/4*PLS HELP WILL MARK BRAINLIEST 100 POINTS* A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway. The base of the
archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic. If the truck remains just
to the right of the median, will it be able to pass under the archway without damage?
Answer:
No
Step-by-step explanation:
Think of the archway as a semicircle with a radius of 28/2 = 14
The diagonal of the truck is like the hypotenuse of a right triangle with legs of 7 and 13
c² = a² + b²
c² = 7² + 13²
c² = 49 + 169
c² = 218
c = 14.76
Since the diagonal of the truck is greater than the radius of the arch the truck will NOT pass without damage
The measure of central angle XYZ is 1.25 radians.
Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 8. The major angle of X Y Z is shaded.
What is the area of the shaded sector?
10 units2
20 units2
40 units2
80 unit
Answer:
The correct answer is C:
40π units²
Step-by-step explanation:
Just took it on edg
What are the roots of the equation x^2+8x+32=0 in simplest a+bi form?
Answer:
x = -4 ± i4
Step-by-step explanation:
This is a quadratic equation with coefficients {1, 8, 32}. We apply the quadratic formula to solve for x. The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.
A negative discriminant indicates that this quadratic has two unequal complex roots.
-b ± √(b^2 - 4ac)
The formula is x = ----------------------------
2a
which, when evaluated at a = 1, b = 8 and c= 32, yields
-8 ± √(-64)
The formula is x = ----------------------------
2(1)
or:
-8 ± i√64
The formula is x = ----------------- = x = -4 ± i4
2
Find BD. NO LINKS ALLOWED PLEASE.
Answer:
Step-by-step explanation:
You have an angle bisector in AD. That means the sides are in proportion to to BD and DC
It's much easier just to look at the proportion.
AB / BD = AC/DC
18 / (3x - 3) = 15/(x + 5) Cross multiply
18*(x + 5) = 15 (3x - 3) Remove the brackets
18x + 90 = 45x - 45 Switch the sides.
45x - 45 = 18x + 90 Subtract 18x from both sides
-18x -18x
27x - 45 = 90 Add 45 to both sides
+45 45
27x = 135
x = 5
But that's not the answer (even though it is correct). You want BD
BD = 3x - 3
BD = 3*5 - 3
BD = 15 - 3
BD = 12