Answer:
1. yes 27¾
2. no 58.5
3. no 55.125
Step-by-step explanation:
1
What is the measure of ∠BDC?
Answer:
your answer will be BDC=105
Step-by-step explanation:
happy to help have a nice day ^_^
Answer:
105°
Step-by-step explanation:
angles on a straight line add up to 180°
on that case u subtract 75°from 180°
180°-75°=105°
Find the amount of tax and the tax rate. Round to two decimal places.
Cost of item: $71
Selling price: $86.45
Tax amount: $
Tax rate: %
well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.
now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)
How do you find this ?
Answer:
Option D : 22°
Step-by-step explanation:
The relationship between angle C and the two legs of the right triangle ie AB and BC is
\(\tan C = \dfrac{AB}{BC}\\\\\text{We have AB = 2, AC = 5}\\\\\rightarrow \tan C = \dfrac[2}{5}= 0.4\\\\m\angle C = \tan^{-1}(0.4) = 21.8^\circ\)
Rounded to the nearest degree this would be 22°
Option D
Answer:
D
Step-by-step explanation:
using either the sine or cosine or tangent ratios in the right triangle , that is
sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{2}{\sqrt{29} }\) , then
∠ C = \(sin^{-1}\) ( \(\frac{2}{\sqrt{29} }\) ) ≈ 22° ( to the nearest degree )
or
cos C = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{5}{\sqrt{29} }\) , then
∠ C = \(cos^{-1}\) ( \(\frac{5}{\sqrt{29} }\) ) ≈ 22° ( to the nearest degree )
or
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{2}{5}\) , then
∠ C = \(tan^{-1}\) ( \(\frac{2}{5}\) ) ≈ 22° ( to the nearest degree )
A bicycle wheel has diameter 66 cm. Find how many turns the wheel makes when the bicycle travels 400 metres.
The number of turns the wheel makes is 1.93 ≈ 2.
What is Turns?
This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.
formular for calculating Turns:
Turns = Lenght
Circumference
Circumference of a circle, C= πD
Where,
Diameter=D
π =22/7
Calculating Circumference;
C= 22 * 66
7
=207.4
From the question:
D= 66cm
L =400m
Calculating Turns:
Turns = Lenght
Circumference
= 400m
207.4
Turns =1.93
Turns =1.93≈ 2
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Hi please help me anyone ?!)):
The X-Cordinate is 4
What is the y-intercept of a line that has a slope of —3 and passes through point (0, -7)?
_7
-3
0
4
Answer:
-7
Step-by-step explanation:
well, y-intercept is value of y when x = 0.
from the problem, we already have the answer, it is -7
but more detailed way is
m = -3
\( \frac{y - ( - 7)}{x - 0} = - 3 \\ y - ( - 7) = - 3x \\ y = - 3x - 7 \\ \)
y-intercept is value of y when x = 0
\(y = - 3(0) - 7 \\ y = - 7\)
Write 36 143/1000 as a decimal number.
Answer:
36.143
Step-by-step explanation:
143/1000=0.143
36+0.143=36.143
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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A 14 (3/4) inch board is cut from a 34 (1/4) inch board. The saw cut takes (3/8) inch. How much of the 34 (1/4) inch board is left after cutting
(Type an integer, fraction, or mixed)
Integer - 19 (1/8)inch board would be left after cutting from 34(1/4) inch board
What is an Integer ?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. When expressed in mathematical terms,
34 (1/4) inch board = 137/4 ----(1)
Cut piece = 14 3/4 = 59/4 ----(2)
saw cut 3/8 = 3/8 --------(3)
To calculate the board which is left after cutting will be
= 137 / 4 - 59 / 4 - 3/8
= 137 - 59 / 4 - 3 / 8
= 39 / 2 - 3 / 8
= 312 - 6 / 8
= 306 / 16
= 153 / 8
or, = 19 (1/8)inch
Hence, 19(1/8)inch board will be left after cutting
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WILL GIVE BRAINLEST 658 minus what equals 98?
Answer:
-560 is the answer
Step-by-step explanation:
658 - (-560 )= 98
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
658 - 560 = 98
Hope this helps!! :D
Tell whether the given value is a solution of the inequality.
a/6 > -4; a = -18
Hey there!
a/6 > -4
= -18/6 > -4
= -3 > -4
Thus, this statement is most likely TRUE because -3 is GREATER than -4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
no
Step-by-step explanation:
Find the Surface Area of the following figure. 9.5 m 16m 14m 12.7m 11m
The total surface area of the figure will be 1968.85 square meters.
To determine the surface area of the figure, we need to find the area of each face and then add them together.
Surface Area of the rectangular prism = 2(lb + bh + hl)
= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)
= 2(152 + 133 + 224) = 2(509)
= 1018 m²
Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:
Surface Area of the triangular prism;
= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)
= (154 + 350.35 + 445.5)
= 950.85 m²
Therefore, the total surface area of the figure will be;
Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism
= 1018 m² + 950.85 m²
= 1968.85 m²
So, the surface area of the figure is 1968.85 square meters.
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Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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there are ( 2^2)^4 × 2^0 cows in a meadow. what is the total number of cows in the meadow? A: 2^6B: 2^7C: 2^8D: 0
Given data:
The total numbers of cows are n=( 2^2)^4 × 2^0 .
The given expression can be written as,
\(\begin{gathered} n=(2^2)^4\times2^0 \\ =2^8\times1 \\ =2^8 \end{gathered}\)Thus, the total numbers of cows are 2^8.
The triangle is to be reduced by a ratio of 1:2.
a
Answer:
where is the triangle?
Step-by-step explanation:
estimate, i need help asap
what is 15/4 + (−4/13) as a fraction in simplest form.
Step-by-step explanation:
15/4 + (−4/13) can be rewritten as 15/4-4/13.
15/4-4/13
15 x13
4 x13
195/52
4 x4
13 x4
16/52
195/52-16/52=179/52 or 3 23/52
hope it helps!
cuanto es la respuesta de 579 x 784
Answer:
453936
que tenga un lindo día
Answer:
453936
Step-by-step explanation:
Hope this helps!
A recent report stated that 27.8% of Chippewa Valley Technical College students study at least 2 hours on a daily basis. If there are 4682 students, then how many study at least 2 hours daily? Round to nearest student.
what is the area of this circle?
Answer:
113.1
Step-by-step explanation:
d= 2r
r = 6
area = \(\pi r^{2}\) = 36 x \(\pi\) = 113.09
Quadratic below
2^2−7−4
Vertex -
Y-Intercept -
X-Intercept -
Answer:
The y-intercept is y = -4.
The x-intercepts are \(x = 4\) and \(x = -\frac{1}{2}\)
The vertex is \((\frac{7}{4},-\frac{81}{8})\)
Step-by-step explanation:
Quadratic equation:
Has the following format:
\(y = ax^2 + bx + c\)
The y-intercept is c.
Finding the x-intercepts:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
\(\Delta = b^{2} - 4ac\)
Vertex:
Suppose we have a quadratic function in the following format:
\(f(x) = ax^{2} + bx + c\)
It's vertex is the point \((x_{v}, y_{v})\)
In which
\(x_{v} = -\frac{b}{2a}\)
\(y_{v} = -\frac{\Delta}{4a}\)
Where
\(\Delta = b^2-4ac\)
In this question:
The quadratic equation is \(2x^2 - 7x - 4\), which has \(a = 2, b = -7, c = -4\). This means that the y-intercept is y = -4.
x-intercepts:
\(\Delta = (-7)^2-4(2)(-4) = 81\)
\(x_{1} = \frac{-(-7) + \sqrt{81}}{2*2} = 4\)
\(x_{2} = \frac{-(-7) - \sqrt{81}}{2*2} = -\frac{1}{2}\)
The x-intercepts are \(x = 4\) and \(x = -\frac{1}{2}\)
Vertex:
\(x_{v} = -\frac{(-7)}{2*2} = \frac{7}{4}\)
\(y_{v} = -\frac{81}{4(2)} = -\frac{81}{8}\)
The vertex is \((\frac{7}{4},-\frac{81}{8})\)
Determine the rate of change for 3/2x -5/4y = 15
Answer:
-6/5
Step-by-step explanation:
3/2x - 5/4y = 15
-5/4y = -3/2x + 15
multiply each side by (-4/5)
(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)
y = -6/5x - 12
rate of change: -6/5
A college student is taking two courses. The probability she passes the first course is 0.7. The probability she passes the second course is 0.67. The probability she passes at least one of the courses is 0.79. Give your answer to four decimal places. a. What is the probability she passes both courses
Answer:
0.58 = 58% probability she passes both courses
Step-by-step explanation:
We have two events, A and B.
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)
In which:
\(P(A \cup B)\) is the probability of at least one of these events happening.
P(A) is the probability of A happening.
P(B) is the probability of B happening.
\(P(A \cap B)\) is the probability of both happening.
In this question:
Event A: Passes the first course.
Event B: Passes the second course.
The probability she passes the first course is 0.7.
This means that \(P(A) = 0.7\)
The probability she passes the second course is 0.67.
This means that \(P(B) = 0.67\)
The probability she passes at least one of the courses is 0.79.
This means that \(P(A \cup B) = 0.79\)
What is the probability she passes both courses
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)
\(0.79 = 0.70 + 0.67 - P(A \cap B)\)
\(P(A \cap B) = 0.58\)
0.58 = 58% probability she passes both courses
Pls help me I will brainlest
Answer:
Tripling the price means it increased by 200% so the markup is 200% (pls give brainlest please!)
Simplify 6x(9-2)-6 divided by 2
i don't have any idea but ok JQJAJDJDJKSBA
____2. Find the value of x
A 16 C 50
B 34 D 70
HELP ME raaaaaaaa NOWWWWWWWWWW
Answer:
C: EAF Is the correct answer
Estimate the slope of the tangent line (rate of change) to f(x) = ² at x = -1 by finding the slopes of
the secant lines through the points:
a. (-2,4) and (0,0)
secant slope, msec=
b. (-1.5, 2.25) and (-0.5, 0.25)
secant slope, msec=
a. The secant slope through (-2,4) and (0,0) is -2.
b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.
The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.
To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.
a. (-2,4) and (0,0):
The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:
msec = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
msec = (0 - 4) / (0 - (-2))
= -4 / 2
= -2
So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.
b. (-1.5, 2.25) and (-0.5, 0.25):
The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:
msec = (0.25 - 2.25) / (-0.5 - (-1.5))
= (-2) / (1)
= -2
So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.
By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.
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Which expression is an expanded form of ln10m‾‾√?
The expression 10m‾‾√ is an expanded form of the mathematical term ln10.
Consider the expression 635 , 943 ÷ 77 635,943÷77. Complete the equation below by estimating the dividend and divisor in the expression to show that the quotient is about 8 , 000 8,000.
Answer:
See below
Step-by-step explanation:
We can estimate the dividend and divisor as follows:
635943 ÷ 77 =636000 ÷ 80 =7950 ≈ 8000Estimate is 8000