Answer:
acute
Step-by-step explanation:
Check using the Pythagorean Theorem:
A^2 + B^2 ≟ C^2
9^2 + 115 ≟ 11^2
196 > 121,
so this triangle is acute because the sum of each leg squared is longer than the length of the hypotenuse squared.
Please help me with this question
Step-by-step explanation:
Insribed angle is half the measure of intercepted arc.
m∠CAB = 1/2mCDBSince O is the center COB is the diameter of this circle.
The diameter splits the circle into two equal arcs. As the full circle is 360°, each semicircle is 180°.
So
1/2mCDB = 1/2(180°) = 90°And the angle measure is
m∠CAB = 90Proved
Answer:
[tex]\overline{\sf COB}[/tex] is the diameter of circle O.
The angle on a straight line is 180° ⇒ ∠COB = 180°
The angle at the center of a circle is twice the angle at the circumference:
⇒ ∠CAB = 1/2 of ∠COB = 1/2 x 180°
⇒ ∠CAB = 90°
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon.
The radius of the balloon given the information in the question is 8.98cm.
What is the radius of the balloon?The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
help help help help help help help
Find the indicated arc and angle measures:
с
D
F
DO
B
70960
E
A
arc AB Degree:
arc BC Degrees:
arc ABC Degrees:
arc CDB Degrees:
Answer:
arc AB = 70°
arc BC = 110°
arc ABC = 180°
arc CDB = 250°
Step-by-step explanation:
Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.
Solve for arc AB:
Angle AFB = 70°, so arc AB = 70°
Solve for arc BC:
Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.
180 - 70 = 110°
Since angle BFC = 110°, arc BC = 110°
Solve for arc ABC:
Add arc AB and arc BC together.
70° + 110° = 180°
arc ABC = 180°
Solve for arc CDB:
There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.
360° - 110° = 250°
arc CDB = 250°
The owner of a computer store is offering a discount on a computer sold in the store.
Computer Sale!
Original Price: $598.00
25% off original price
8% tax applied after discount
owner offers a payment plan where the total cost of the computer is paid in 6 equal monthly payments.
Determine the amount of each monthly payment.
Show your work or explain your answer. please help me ASAP it is due is 20 mins please help i will mark brainlest for correct answer
Answer:
$ 80.73
Step-by-step explanation:
You can find the complete solution in the given attachment
Given quadrilateral ABCD with vertices A(0, 0), B(3, 4), C(8, 4), and D(5, 0). Complete the statements
below.
Part A: The quadrilateral ABCD is a
A. rectangle
B. rhombus
C. square
D. trapezoid
Part B: The quadrilateral ABCD can be identified as the geometric shape in Part A because
A. all sides are congruent
B. only two sides are parallel
C.
- opposite sides are parallel and congruent
D. the diagonals are congruent
Answer:
Part A:
B. rhombus
Part B:
C. Opposite sides are parallel and congruent
Un obrero tiene una escalera de 12 metros. ¿Que ángulo debe formar con el suelo para alcanzar una altura de 8 metros?
Usando el concepto de seno, hay que la escalera debe formar un angulo de 41.8º con el suelo.
¿Qué es el seno de un angulo?El seno de un angulo viene dada por el cambio vertical dividido por el cambio diagonal.
En este problema:
El cambio diagonal es de 12 metros.El cambio vertical es de 8 metros.Por eso:
[tex]\sin{\alpha} = \frac{8}{12}[/tex]
[tex]\alpha = \sin^{-1}{\left(\frac{8}{12}\right)}[/tex]
[tex]\alpha = 41.8^\circ[/tex]
La escalera debe formar un angulo de 41.8º con el suelo.
Puede-se aprender más a cerca de el concepto de seno en https://brainly.com/question/24766917
#SPJ1
Find the slope of the line that is parallel and perpendicular to the following equation.
-5x - y = 1
Answer:
slope of perpendicular: [tex]\sf \bold{\frac{1}{5} }}[/tex]
slope of parallel: -5
rewrite in slope intercept form: [ y = mx + b ]
-5x - y = 1-y = 1 + 5xy = -5x - 1comparing with y = mx + b [ where m is slope, b is y-intercept ]
Parallel slope is same
formula: m₁ = m₂
m = -5slope of parallel: -5
Perpendicular slope is negatively reciprocal
formula: m₁ = -(m₂)⁻¹
m₁ = -(-5)⁻¹m₁ = -(-1/5)m₁ = 1/5slope of perpendicular: 1/5
Answer:
Slope of the line that is parallel: -5
Slope of the line that is perpendicular: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-5x - y = 1 <== add 5x to both sides
+5x +5x
-y = 5x + 1 <== divide both sides by -1
/-1 /-1
y = -5x - 1
The slope of the line that is parallel to this line is -5.
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-5)
2. Flip it (-1/5)
3. Change the sign (1/5)
For a slope of -5, the reciprocal would be: [tex]\frac{1}{5}[/tex]
Hope this helps!
I need help on this question
Answer:
Step-by-step explanation:
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answer:
The bench mark values might be 10/120 - 30/80
Step-by-step explanation
PLEASE GUYS CAN SOMEONE HELP ME WITH THESE, POINTS TO THE KIND AND SMART PERSON TO ANSWER THESE SORT OF TEDIOUS QUESTIONS HELP ASAP
Step-by-step explanation:
1.
a. true
b. false (the arc angles are relative to the center of the circle)
c. true (as the central angle of a circle is twice any inscribed angle subtended by the same arc)
d. true (but note that the arc angle of YE is again measured via the center of the circle and twice as large as the angle S)
2.
EGS is an isoceles triangle (that means both legs are equally long).
remember the extended Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
c being the side opposite of the angle C.
let's say c is our long baseline, since we have is opposite angle 124°, and a = b = GE = GS, we have
3.8² = a² + a² - 2aa×cos(124) = 2a² - 2a²×cos(124) =
= 2a²(1 - cos(124))
2a² = 3.8²/(1 - cos(124))
a² = 3.8²/(2(1 - cos(124)))
a = GS = sqrt(3.8²/(2(1 - cos(124)))) =
= 2.151883096... ≈ 2.2 cm
3.
circumference
16pi = 2pi×r
r = 8
area = pi×r² = pi×8² = 64pi
yes, the statement is true.
4.
a half-circle has 180°.
the arc angel AD is a full half-circle (because AD is a diameter), so it is 180°.
the angle ACB is the arc angle AB = 40°. so, the arc angle BD must be the rest of the 180° = 180 - 40 = 140°.
5.
diameter = 50 ft.
so, the radius or distance from the center to the circle arc is 50/2 = 25 ft.
the length of a chord is
c = 2×sqrt(r² - d²)
with r being the radius, d being the distance of the chord from the center.
40 = 2×sqrt(25² - d²)
20 = sqrt(625 - d²)
400 = 625 - d²
-225 = -d²
225 = d²
d = 15 cm
so, the distance of the chord from the center is 15 cm.
6.
the arc angles RE and TS are equal. that means the arc lengths of RE and TS are equal.
and that means the arc lengths of RS and ET are equal. the chords between 2 points on a circle must have the same length, when the arc lengths between these 2 points are the same.
7.
they are equally long.
as we saw in 5., the length of a chord depends on the radius of the circle and the distance of the chord from the center.
since both chords are in the same circle (with the same radius), and they both have the same distance from the center, they can only be equally long, as there is no other element to name them different.
8.
the angle NPE is half of the angle NAE (= the arc angle NE).
the arc angle NE = 63×2 = 126°
the angle PET is half of the angle PAT (= the arc angle PT).
the arc angle PT = 19×2 = 38°
the arcs NP and ET cover the rest of the whole circle circumference (360°).
so, arc angle NP + arc angle ET = 360 - 38 - 126 = 196°
but arc angles NP and ET must be equal (as per the problem definition).
therefore, 2 equal arc angles = 196°
1 arc angle = NP = 196/2 = 98°
Which of the objects below best holds 1 quart? A. gas tank pitcher C. coffee mug D. pool
-10 - | 5 -12 | + 3 + | 5 + 12 | =
Answer:
3
Step-by-step explanation:
the absolute value function always returns a positive value , that is
| - a | = | a | = a
given
- 10 - | 5 - 12 | + 3 + | 5 + 12 |
= - 10 - | - 7 | + 3 + | 17 |
= - 10 - 7 + 3 + 17
= 3
Express each of the following rational numbers in power notation
(i) -1/125
Answer:
[tex]\displaystyle \large{-5^{-3}}[/tex]
Step-by-step explanation:
Given:
[tex]\displaystyle \large{-\dfrac{1}{125}}[/tex]
Convert to exponent using the laws of exponent:
[tex]\displaystyle \large{\dfrac{1}{a^n} = a^{-n}}[/tex]
That means we must find the base and exponent for 125, which is [tex]\displaystyle \large{5^3}[/tex]:
[tex]\displaystyle \large{-\dfrac{1}{125} = -\dfrac{1}{5^3}}[/tex]
From the law of exponent:
[tex]\displaystyle \large{-\dfrac{1}{5^3} = -5^{-3}}[/tex]
Therefore, the solution is [tex]\displaystyle \large{-5^{-3}}[/tex]
How are area and volume similar? (will give brainliest for the right answer)
A both take up an amount of space
B both are 2-dimensional
C both have length, width, and height
D both are 3-dimensional
Answer:
the one where it say it takes height
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I got 100%
The question is what is the range of the function shown on the graph above?
Answer:
0 ≤ y ≤ 7
Step-by-step explanation:
Hey there! :)
Please see an explanation for better understanding, and let me know if you have any questions!
What is Range?Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.
For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.
StepsTo find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.
From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.
Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.
In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.
Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7
Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm
Answer:
16
Step-by-step explanation:
no image, but 6 + 2 + 2 + 6 = 16
A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2
Answer:
the answer is 4,500kgm/s2
Step-by-step explanation:
force= mass × acceleration
[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]
help solve this and reward is brainlist.
Answer:
[A] 20%
[B] 400%
Step-by-step explanation:
Part A:
To Find: Percentage
= Price in 1985/price in 2003
Thus,
$62000×100%=6200000÷310000=20%
Part B:
To FInd: Percentage increase
= (Price in 2003-price in 1985)/price in 1985
Thus,
$248000×100=$24800000÷62000=400%
[RevyBreeze]
Work out the gradient of the straight line through (-2, 1) and (1, 10)
Answer:
3
Step-by-step explanation:
can someone help me with this?
Answer:
66°
Step-by-step explanation:
mJK = ( 6x - 45 )°
mJH = ( x + 20 )°
mJK = mJH
6x - 45 = x + 20
5x = 65
x = 13
mHK = ( x + 20 )° + ( 6x - 45 )°
mHK = 2 × 33° = 66 °
Why does i^3= -i
I know i is square root -1 but I don't know how i^3= -i
Answer:
i³ = -i
Step-by-step explanation:
i³ can be rewritten as i² · i
i² = -1
-1 · i = -i
Hope this helps!
A dress shop has a markup rate of 200%. find the selling price of a dress that cost the store owner $80.
pls help
Answer:
$240
Step-by-step explanation:
200% x 80 = 160
80 + 160 = $240
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Answer:
A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?
Bob shoots off a small rocket from the balcony of his apartment. The balcony is 30 ft above the ground and the rocket travels at 40 ft/second. When does it reach the highest point? What is the highest point? When does it hit the ground (seconds)?
From the calculations;
The highest point above the ground is 112 feetThe time taken to reach this height is 8 secondsEquations of motionThe equations of motion are used in kinematics to obtain the various variables that has to do with motion.
In this case;
distance covered = 30 ft
initial velocity = 40 ft/second
Final velocity = 0 m/s at the maximum height
Hence;
v^2 = u^2 - 2gh
since v = 0
u^2 = 2gh
h = u^2/2g
h = (40)^2/2(9.8)
h = 82 feet
highest point above the ground = 82 feet + 30 feet = 112 feet
Now;
v = u - gt
since v = 0
u = gt
t = u/g
t = 40/9.8
t = 4 seconds
Time taken to hit the ground = 2(4 seconds) = 8 seconds
Learn more about kinematics:https://brainly.com/question/27126557
pls help with number 27 to find the area 20 points for awnser and thank you brainly people for helping me so much!
Answer:
27 cm²
Step-by-step explanation:
Refer to the attachment for visual reference.
First, divide into each rectangles or squares.
Then find the areas individually.
After that, combine all areas and that is the area of figure.
Area of Rectangle
A = width * length (Keep in mind that width is always less than length.)
Area of Square
A = side * side
Unit for area is cm² because we are finding area which is two dimensional.
Step-by-step explanation: How many solutions does the system of equations below have?
y=
–4
9
−
4
5
y=
–4
9
−
4
5
Answer:
3
Step-by-step explanation:
What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.
–11
–2
0
2
11
Given Equation :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
To Find :
The value of x .Solution :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
We are to find two numbers such that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]
The two numbers are 2 and 11, so
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]
Finding common factors :
[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]
Whether, the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]
Or, Whether the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]
So,
Therefore the value of x is (-11) or 2.Answer:
A) –11
D) 2
Step-by-step explanation:
Got it right on edge!
the pizza order changed to a 14-inch pizza from a ten-inch pizza. Approximately how much did the area change after the change in diameter?
a. 4 square inches
b. 24 square inches
c. 25 square inches
d. 96 square inches
B.)
Step-by-step explanation:
area of a 10 inch pizza: A=pi * r^2 = 25 pi
area of a 14 inch pizza : A= 49 pi
the change : 49pi - 25pi = 24 pi or about 75.39822
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
The degree of the polynomial is
options 2,3,5,6
The leading coefficient of the polynomial is
options 2,3,5,6
Is there a constant term in the polynomial?
options: yes, no.
This expression can be called a blank
expression.
options: monomial, binomial, trinomial
Answer:
2
5
YES
trinomial
Step-by-step explanation:
Given expression: [tex]5x^2+3x+6[/tex]
The degree of the polynomial is the highest exponent = 2
The leading coefficient, is the coefficient (value) before the [tex]x^2[/tex] = 5
The constant in the polynomial is the value without a variable, i.e. 6 = YES
This expression can be called a trinomial expression since it is a polynomial with exactly three terms.
Expression given:-
5x^2+3x+6So
Degree=2Leading coefficient=5Constant yes(6)Three variables a,b,c hence trinomial