Answers
Given:
A figure of a right angle triangle.
To find:
The length of BC.
Solution:
In a right angle triangle,
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan A =\dfrac{BC}{AC}[/tex]
[tex]\tan 23^\circ =\dfrac{BC}{6}[/tex]
[tex]0.42447\times 6 =BC[/tex]
[tex]2.54682 =BC[/tex]
Approximate the value to the nearest hundredth.
[tex]BC\approx 2.55[/tex]
Therefore, the measure of side BC is 2.55 units.
Related Questions
Line A (y = x + 2) is transformed into Line B (y=3x+1). Which best describes the new slope and y-intercept?
Answers
Answer:
The slope is steeper and the line is shifted downwards.
The y-intercept is shifted downwards.
Step-by-step explanation:
We proceed to demonstrate the transformation from the line A to line B:
1) [tex]y = x + 2[/tex] Given.
2) [tex]y = 3\cdot x + 6[/tex] Vertical dilation.
3) [tex]y = 3\cdot x +1[/tex] Vertical shift of the line in 5 units in the -y direction/Result
Hence, the answer is:
The slope is steeper and the line is shifted downwards.
The y-intercept is shifted downwards.
Can someone help me with this, pleasee.
Answers
Answer:
D i think sorry if it's wrong
Step-by-step explanation:
This is because point A will not move when ABC is dilated (expanded) to form ADE. This is why A is the centre of the dilation.
The outer and inner diameters of a circular ring are
34 cm and 32 cm, respectively. Then, find the area of ring
Answers
Answer:
103.686cm^2
Step-by-step explanation:
Given data
Outer diameter= 34cm
Outer Radius= 34/2= 17cm
Area= πr^2
Area of outer ring= 3.142*17^2
Area of outer ring= 3.142*289
Area of outer ring= 908.038cm^2
inner diameter= 32cm
inner Radius= 32/2= 16cm
Area= πr^2
Area of outer ring= 3.142*16^2
Area of outer ring= 3.142*256
Area of outer ring= 804.352cm^2
Hence the radius of the ring is
=Area of outer - Area of inner
=908.038-804.352
=103.686cm^2
Mona stopped at a gas station where the price per gallon was $2.80. She spent $14 to fill up her car. What equation would represent how much gas Mona purchased?
Answers
Answer:
14/2.8
Step-by-step explanation:
Answer:
What equation would represent how much gas Mona purchased?
✔ 2.80(g) = 14
How many gallons of gas did Mona purchase?
✔ 5 gallons
If Mona’s car gets 20 miles per gallon, how many miles did she drive since the last time she filled up her tank?
✔ 100 miles
Step-by-step explanation:
What is the area of the parallelogram?
Answers
Answer:
Step-by-step explanation:
The height is connected to the base of 16cm
Area = b * h
b = 16
h = 5
Area = b * h
Area = 16 cm * 5 cm
Area = 80 cm^2
Answer:
The area of parallelogram is 80 cm ².
Step-by-step explanation:
We have ,
A parallelogram having
Base = 16 cmLength = 13 cmHeight = 5 cmTo Find :-
The area of parallelogramSolution :-
Using Formula
Area of parallelogram = base × height
substitute the values
Area of parallelogram = 16 cm × 5 cm
multiply , we get
Area of parallelogram = 80 cm²
Read and answer the problem. write your answer in a 12-hour clock and a 24-hour clock.
Answers
Answer:
Italy - 6am
Taiwan - 1pm
Peru-12am
Turkey-8am
Laos-12pm
Step-by-step explanation:
Answer:
Italy is at 6am
Taiwan is at 1pm
Peru is at 12am
Turkey is at 8am
Laos is at 12pm
Step-by-step explanation:
Find the volume of the following
Answers
Answer:
22 ft³
Step-by-step explanation:
Applying,
V = 1/3(Ah).................... Equation 1
Where V = Volume of the pyramid, A = Area of the base, h = height of the pyramid.
But,
A = 1/2bl................ Equation 2
Where b = base of the triangle. l = height of the triangle.
Substitute equation 2 into equation 1
V = 1/6(blh).............. Equation 3
From the diagram,
Given: b = 3 ft, l = 4 ft, h = 11 ft
Substitute these values into equation 3
V = 1/6(3×4×11)
V = 1/6(132)
V = 22 ft³
Which phrase correctly represents the algebraic expression 3t?
A. The sum of three and a number.
B. The product of three and a number.
C. The quotient of three and a number.
D. The difference of three and a number.
Answers
Explanation: When a number is directly followed by a variable (ex. 10y), it indicates multiplication. So in this case, when you dissect the expression 3t, it becomes 3*t. For both addition and subtraction, it would be the normal format: 3+t and 3-t. For division it would be 3 over t (fraction format).
Hope that helps シ
when a number is by a variable with nothing between them like a plus minus or division sign you always multiply
On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4). Triangle S T U has points (2, negative 4), (negative 1, negative 2), (negative 1, negative 4). Complete the statements to verify that the triangles are similar.
Answers
Answer:
See Explanation
Step-by-step explanation:
According to The Question,
Given That, On a coordinate plane, ΔPQR and ΔSTU are shown. ΔPQR has points (4,4) , (-2,0) , (-2,4). ΔSTU has points (2,-4) , (-1,-2) , (-1,-4).
We know, Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.The distance between two points on the coordinate plane is given as:
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Therefore, in triangle PQR:IQRI = [tex]\sqrt{(-2_{}-(-2)_{})^{2} + (4_{}-0_{})^{2} }[/tex] = 4
IPQI = [tex]\sqrt{(-2_{}-4_{})^{2} + (0_{}-4_{})^{2} }[/tex] = √52
IPRI = [tex]\sqrt{(-2_{}-4_{})^{2} + (4_{}-4_{})^{2} }[/tex] = 6
Now Similarly, In triangle STUISTI = [tex]\sqrt{(-1_{}-2_{})^{2} + (-2_{}-(-4)_{})^{2} }[/tex] = √13
ISUI = [tex]\sqrt{(-1_{}-2_{})^{2} + (-4_{}-(-4)_{})^{2} }[/tex] = 3
ITUI = [tex]\sqrt{(-1_{}-(-1)_{})^{2} + (-4_{}-(-2)_{})^{2} }[/tex] = 2
Now, Verifying that the triangles are similar
|QR| / |TU| = 4/2 = 2
|PR| / |SU| = 6/3 = 2
|PQ| / |ST| = √52 / √13 = 2
Hence, |QR| / |TU| = |PR| / |SU| = |PQ| / |ST|
Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.
Answer: the answer is Complete the statements to verify that the triangles are similar.
StartFraction Q R Over T U EndFraction = ✔ 2
StartFraction P R Over S U EndFraction = ✔ 2
StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = ✔ 2
Therefore, △PQR ~ △STU by the ✔ SSS similarity
theorem.
Step-by-step explanation: it is show down below.
Answer question 1 in the image
Answers
Answer:
The student is correct
Step-by-step explanation:
It has the numbers next to letter with a power so nit dose have a three term degree.
At a track meet, a girl runs 51 meters in 8 seconds. What’s the unit rate?
Answers
Answer:
the unit rate is 6.375 meters per second.
Step-by-step explanation:
51 meters ÷ 8
——————————-
8 seconds ÷ 8
= 6.375 meters
——————————
1 second
6.375
51 / 8
8÷ 8
6.375 meters per second
What is an equation of the line whose graph has slope of 2 and a Y intercept of -5
Answers
Answer:
the math equation is y = 2x - 5
Answer:
Y = 2x-5
Step-by-step explanation:
keep in mind :
Y=Ax±B
A: slope
B: Intercept-y
Nick charges $55 per hour for surfing lessons
plus a $30 registration fee. If Mrs. Smith
doesn't want to pay more than $470, what is
the maximum number of hours she can take
lessons?
Answers
Answer:
8 hours max
Step-by-step explanation:
470-30=440
440/55=8
The diameter of a small circular rug is 36 inches use 3.14 for pie to determine the radius and the circumference
Answers
Answer:
Step-by-step explanation:
radius=diameter/2
=36/2
=18 inches
circumference=2πr
=2*3.14*18
=113.04 inches
Which proportion could be used to find the length of side b?
Answers
Answer:
[tex]\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}[/tex]
Step-by-step explanation:
In any triangle, the Law of Sines states that the proportion of the sine of each angle and its opposite side is maintained throughout all 3 angles and their corresponding sides of a triangle:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]
Thus, we have [tex]\implies \boxed{\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}}[/tex]
Someone help big ideas 8.6 number 20
Answers
Answers:
smaller = 45larger = 135============================================================
Explanation:
Let x and y be the two angles such that x < y. Also, we'll make both values to be positive numbers.
Since one angle is 1/3 of the other angle, this means
smaller angle = (1/3)*(larger angle)
x = (1/3)y
3x = y
y = 3x
The two angles add to 180 degrees since they are a linear pair. A linear pair of angles always forms a straight line.
x+y = 180
x+3x = 180
4x = 180
x = 180/4
x = 45
Use that x value to find y.
y = 3x
y = 3*45
y = 135
The two angles are x = 45 and y = 135
---------
Check:
x+y = 45+135 = 180
so the answer is confirmed.
what is the degree of the simplest polynomial with integer coefficients that has √2 , 2 , √2 + i , and 2 + 2i as some of its zeros?
a. 6
b. 7
c. 8
d. 9
Answers
If the polynomial has integer coefficients, then any complex roots with non-zero imaginary part must occur along with their conjugates. If a + bi is a root, then so is a - bi.
The given polynomial would then have at least 6 roots: √2, 2, √2 + i and √2 - i, and 2 + 2i and 2 - 2i. So the minimum degree is (A) 6.
A rectangle has a length of (3x - 1) and a width of (x + 1). Part A Determine the perimeter and area of the rectangle as polynomials.
Answers
Answer:
Area of the rectangle = 3x² +2x-1
Perimeter of the rectangle = 8x
Step-by-step explanation:
Given
length = (3x - 1)
width = (x + 1)
Area of the rectangle= length * breadth
Area of the rectangle = (3x - 1) (x + 1)
= 3x²+ 3x - x-1
= 3x² +2x-1
Perimeter of the rectangle = 2( length + breadth)
= 2[(3x - 1) + (x + 1)]
= 2[3x - 1 + x + 1]
= 2[ 4x]
= 8x
Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)
Answers
Answer:
Option D
Step-by-step explanation:
Given the function [tex]g(x)=\frac{-7(x-5)^2(x+6)}{(x-5)(x+5)}[/tex], we see that [tex](x-5)[/tex] appears in both the numerator and denominator which cancel out to be [tex]\frac{-7(x-5)(x+6)}{(x+5)}[/tex]. This means that there's a vertical asymptote at [tex]x=-5[/tex] for the denominator to be 0.
Additionally, the limit of the function g(x) as x approaches -5 from the left side is -∞. The limit of the function g(x) as x approaches -5 from the right side is ∞. See the attached graph for a visual of these limits.
In conclusion, option D is correct.
can someone tell me what “increase s by 2s” is
Answers
Answer:
It means goes up by twos for example 2,4,6,8 all those numbers increase by 2s.
Step-by-step explanation:
compare the following functions:
f(x) = −4 sin(3x − π) + 2
h(x)
x y
-2 14
-1 9
0 6
1 5
2 6
3 9
4 14
Which function has the smallest minimum?
f(x)
g(x)
h(x)
All three functions have the same minimum
Answers
Answer:
g(x)
Step-by-step explanation:
I compared the value
The function that has the smallest minimum is g(x)
Calculations and Parameters:Comparing each function individually:
The function f(x) has a minimum value of
2 * (-1)+2 = 0
The function g(x) has a minimum value of g(3) = -2
The function h(x) has a minimum value of h(1) = 3
Hence, we can see that from the minimum values 0, -2, 3, the least has the value of -2 which is g(x)
Read more about functions here:
https://brainly.com/question/10516786
#SPJ2
Does this represent a function?
Answers
Sorry if I’m wrong
In the figure, x = , y = , and z = .
Answers
find the vertex of this quadratic??
Answers
Answer:
(0,3)
Step-by-step explanation:
In this case the vertex is the maximum point of the parabola
vertex : (0,3)
Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450450450 kilograms (\text{kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.
Write an inequality to determine the number of packages, ppp, Renna could remove from the elevator to meet the mass requirement.
What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?
Answers
Answer:
5 packages and P > 4, 14 or P > 29/7
Step-by-step explanation:
I did it before
help me solve this question!
Write (x + 3)(x − 2) in standard form.
Answers
(x + 3)(x − 2) in standard form
x2+x-6
That’s the standard form
You can use the FOIL method
X*x-2x+3x-3x2
Combine like terms
X^2-2x +3x-6
X^2+x-6
A certain population has 1,000 people in it. Which of the following numbers would be an appropriate number for a random sample?
Answers
Answer:
Two hundred would be appropriate for a random sample.
lol
help pls jfjsjdfhdjd
Answers
Answer:
use the formula volume =π × r square × h
Step-by-step explanation:
Hope this helps :)
If f(x) = 3x + 4, what is the value of f(-4)?
Answers
Answer:
-8
Step-by-step explanation:
f(x) = 3x + 4
substitute -4 in place of x
f(-4) = 3*-4 + 4
f(-4) = -12 + 4
f(-4) = -8
You want to buy a carpet for a room that is 15 feet wide and 18 feet long. Find the amount of carpet that you need.
Answers
explanation:
area = length x width
18 x 15 = 270