By using what we know about right triangles, we will see that the distance is 1479.4 ft
How to find the distance between point A and point B?We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.
Then we use the relation:
Cos(a) = (adjacent cath)/(hypotenuse)
cos(8°) = (1465 ft)/(distance)
distance = (1465ft)/cos(8°) = 1479.4 ft
If you want to learn more about right triangles, you can read:
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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°
Find the measure of the missing angle in this right triangle.
Answer:
Missing angle is 55°
Step-by-step explanation:
Given :-
One angle is 35° and one is 90°To find:-
Measurement of other angleSolution:-
We know that the sum of all angles in a triangle is 180°
and let the unknown angle be x
So ,
90°+35°+x = 180°
x = 180° - 125°
x = 55°
How did Mandela get the name “Nelson?”
Answer:
On the first day of school his teacher, Miss Mdingane, gave each of the students an English name. This was the custom among Africans in those days and was undoubtedly due to the British bias of education. That day, Miss Mdingane told him that his new name was Nelson.
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°
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]
I need help on nine and 10 instructions say to solve these equations by cross multiplying
Answer:
9. a = -1
10. b = 20
Step-by-step explanation:
The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.
__
9.[tex]\dfrac{2a-5}{3a-4}=\dfrac{2a-3}{3a-2}\\\\(3a-2)(2a-5)=(3a-4)(2a-3)\qquad\text{"cross multiply"}\\\\6a^2 -19a +10=6a^2-17a+12\qquad\text{expand}\\\\-2=2a\qquad\text{add $19a-6a^2-12$}\\\\\boxed{a=-1}\qquad\text{divide by 2}[/tex]
__
10.[tex]\dfrac{b-2}{b-6}=\dfrac{b+2}{b-4}\\\\(b-4)(b-2)=(b-6)(b+2)\qquad\text{"cross multiply"}\\\\b^2-6b+8=b^2-4b-12\qquad\text{expand}\\\\20=2b\qquad\text{add $6b+12-b^2$}\\\\\boxed{b=20}\qquad\text{divide by 2}[/tex]
_____
Additional comments
Here are the answer checks:
9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes
10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes
__
Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.
find the 24th term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=2
Answer:
94
Step-by-step explanation:
a1+ 23d =2+23*4= 94
94 is the 24 th term
Which of the objects below best holds 1 quart? A. gas tank pitcher C. coffee mug D. pool
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band
Answer:
whats rhe question itdoesntsay
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!
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
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.
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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
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 °
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?
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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 trinomialDo number 1 pleaseeee
Answer:Let's start b writing down coordinates of all points:A(0,0,0)B(0,5,0)C(3,5,0)D(3,0,0)E(3,0,4)F(0,0,4)G(0,5,4)H(3,5,4)a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.A(0,0,0)ReflectingA(0,0,0)B(0,5,0)ReflectingB(0,-5,0)C(3,5,0)ReflectingC(3,-5,0)D(3,0,0)ReflectingD(3,0,0)b.)A(0,0,0)MovingA(-2,-3,1)B(0,-5,0)MovingB(-2,-8,1)C(3,-5,0)MovingC(1,-8,1)D(3,0,0)MovingD(1,-3,1)
Step-by-step explanation:
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.
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
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The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle JKML.
If AB = 40 in., what is JK?
A- 40 in.
B- 30 in.
C- 20 in.
D- 10 in.
Answer:
20 in.
Step-by-step explanation:
i just got it right on edge
(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
answer choices
$8 per pound
$35 per pound
$5 per pound
$0.125 per pound
Answer:
8 dollars per pound
Step-by-step explanation:
40 divided by 5 will give you the $/lb
40/5=8 so its $8/lb
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
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]
Work out the gradient of the straight line through (-2, 1) and (1, 10)
Answer:
3
Step-by-step explanation:
A student clamied that the number -4 is not rational because it is not a ratio of two integers. Do you agree or disagree?
Answer:
I disagree.
Step-by-step explanation:
An integer is a whole number ranging from -2,147,483,648 to 2,147,483,647.
A ratio of two integers with -4 could be -4/1, so -4 is a rational number.
I agree.
Solution:Every single integer can be written as a fraction.Please remember that the set of integers includes negative numbers, zero, and positive numbers.In this case, we have a negative number (the minus sign in front of the number tells us it is negative).So, how can we write an integer as a fraction?Every integer can be written as a fraction with a denominator of 1.Therefore, the answer is:-4/1So, is 4 rational? Yes, because it can be written as a fraction.Hope it helps.
Do comment if you have any query.
When the 18 French class students randomly line up for a fire drill, what is the probability that Amy is first
and Zach is last in line?
The probability of Amy and Zach to line up at the frond and last in the line will be 11.11%
What is probability?The chances of happening of any random event is called as the probability. Here in the question there are 18 class students we need find that the first and the last position should be occupied by Amy and jach.
Total outcomes =18
favourable outcome=2
So the probability of the Amy and Zach to stand in the front and the last in the line will be
[tex]P=\dfrac{2}{18}=0.11=11\%[/tex]
Hence the probability of Amy and Zach to line up at the frond and last in the line will be 11.11%
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-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
I need help on this question
Answer:
Step-by-step explanation:
The table shows differences in political ideology, by education, for a random sample of voters. Use the data to solve the problem.
Find the probability that a randomly selected person from this group is conservative, given they have attended college
P(conservative attended college) = (Type an integer or a simplified fraction)
Answer:
9/33
Step-by-step explanation:
find the total of people that have attended college (9+12+12 =33)
now go to the number of people that are both college and conservative (9)
The probability that a randomly selected person from this group is conservative, given they have attended college; 9/33
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Given that table shows differences in political ideology, by education, for a random sample of voters.
To find the total of people that have attended college (9+12+12 =33)
P(conservative attended college) = (Type an integer or a simplified fraction)
To the number of people that are both college and conservative (9)
P(conservative attended college) = 9/33
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