Answer:
[tex]17\sqrt{2}[/tex] ft
Step-by-step explanation:
take angle b as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC
BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]
BC = 17 * [tex]\sqrt{2}[/tex]
BC = [tex]17\sqrt{2}[/tex] ft
Answer:
BC = 17[tex]\sqrt{2}[/tex] ft
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
BC = 17[tex]\sqrt{2}[/tex] ft
I don’t know how to do this can someone help me please
Answer:
m∠1 = 147°
Step-by-step explanation:
(5x-2)° and ∠1 are supplementary to each other, which means they add up to 180°. However, we don't know the measure of ∠1. So, we need to solve for x to figure out angle (5x-2)°'s measure. Therefore:
(8x+1)°+(5x-2)°+90°=180°
8x+1+5x-2+90=180
13x+89=180
13x=91
x=7
This means the measure of angle (5x-2)° is 33°, making the measure of ∠1 equal to 147°.
7(4g) + 3(5h) + 2(−3g)
Answer:
22g+15h
Step-by-step explanation:
28g+3×5h+2×−3g
28g+15h+2×−3g
28g+15h−6g
(28g−6g)+15h
hope this helps!!
34°
Which expression is equivalent to sin (34º)?
A. cos (349)
B. tan (34°)
C. cos (569)
D. tan (569)
help finding the area
Answer:
The answer is 49 in^2.
Step-by-step explanation:
The area of the triangle is 1/2* perpendicular height * horizontal length.
The horizontal length is 14 in, while the perpendicular height is 7 in.
The area of the triangle is 1/2* 7 in * 14 in = 49 in^2
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...
Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)
Subtract the values in parentheses to get 4/6
Simplify the fraction to get the slope of 2/3
What is the slope intercept form here!!!
Answer:
y=x
Step-by-step explanation:
Hộp đựng 3 bi đỏ, 5 bi trắng và 7 bi xanh lấy ngẫu nhiên 2 bi. Tính xác suất? a, Có 1 bi đỏ trong 2 bi lấy ra b, Có ít nhất 1 bi đỏ trong 2 bi lấy ra
Answer:
a) 3C1 * 12 C1 / 15 C2
b) 1 - 12C2 / 15C2
Step-by-step explanation:
Được
Viên bi đỏ = 3
Viên bi trắng = 5
Viên bi xanh = 7
Hai quả bóng được rút ra một cách ngẫu nhiên
a) Có 1 bi đỏ
3C1 * 12 C1 / 15 C2
b) Có ít nhất 1 viên bi đỏ trong số 2 viên lấy ra.
Số kết quả của việc chọn hai quả bóng trong số 15 quả bóng = 15 C2
Số kết quả của việc chọn 0 quả bóng đỏ = 15C12
Xác suất chọn được ít nhất 1 viên bi đỏ = 1 - 12C2 / 15C2
How do i know when to use Sine, Cos or Tan? i struggle so much :c
Answer:
Sin = If you have hypotenuse and the opposite side
[tex]\frac{opp}{hyp}[/tex]
Cos = If you have hypotenuse and an adjacent(close by) side
[tex]\frac{adj}{hyp}[/tex]
Tan = If you have the adjacent and opposite sides
[tex]\frac{opp}{adj}[/tex]
Answer with step-by-step explanation:
Hi there! The Sine, Cosine, and Tangent functions have many different uses and there are various circumstances where you can use them. They are generally used for trigonometry.
Let's start with basic trigonometry for a right triangle. This is likely where these functions were introduced to you.
For any right triangle:
The sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle (o/h).
The cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle (a/h).
The tangent of an angle is equal to its opposite side divided by its adjacent side (o/a).
Any angle's "opposite" side is defined by the side the angle creates or is opposite to the opening of the angle. The adjacent side of an angle is defined by the side that touches/forms the angle that is not the hypotenuse. The hypotenuse is always defined as the longest side of a right triangle.
Oftentimes, students used the phrase "SOH-CAH-TOA" to remember this. The abbreviation simply stands for "Sin-Opposite-Hypotenuse || Cos-Adjacent-Hypotenuse || Tan-Opposite-Adjacent". Regardless of how you remember it, it is crucial to note that this only works for a right triangle.
These are just the basics, but you'll work with sine, cosine, and tangent as you learn about the Unit Circle, Law of Sines, Law of Cosines, sinusoidal functions, the graphs they make, and more.
Factor: 6x^3+4x^2+3x+2
Answer:
Step-by-step explanation:
6x^3+4x^2+3x+2
6x^3+3x+4x^2+2
3x(2x^2+1)+2(2x^2+1)
(3x+2)(2x^2+1)
A soup can in the shape of a cylinder is 6 inches tall and has a label wrapped around it. The label does not cover the top and bottom of the can. If the radius of the can is 1.5 inches, how much paper was needed to make the label? Use 3.14 for Pi and round the answer to the nearest tenth.
Recall the formula L A = 2 pi r h.
70.7 square inches
56.5 square inches
37.7 square inches
28.3 square inches
Answer:
56.5 square inches
Step-by-step explanation:
Answer:
the person above me is right
Step-by-step explanation:
What is the product of 12 and 3?
The product of two numbers is the result you get when you multiply them together. Therefore,
12 × 3 = 36
Hope this helps! :D
Anyone know the answer to this
Answer:
c
Step-by-step explanation:
Question 6 of 10
What is the length of DE?
A
D
27
15
130"
10
B F 10 E
O A. 10
d
B. 22
O
C. 18
O D. 12
Answer:
c=18
Step-by-step explanation:
The measure of the sides, of the square, is 3√2 units
What is Pythagoras theorem?The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Given is a square, with diagonal of 6 units we need to find the measure of the sides, of the square,
By the definition of the Pythagoras theorem,
s² + s² = 6²
2s² = 36
s² = 18
s = 3√2
Therefore, we get s = 3√2
Hence, the measure of the sides, of the square, is 3√2 units
Learn more about Pythagoras theorem, click;
https://brainly.com/question/21926466
#SPJ7
The complete question is attached
1+ 4(2x — 3) – x
Simplify the expressuon
Is this complementary, supplementary or neither? Pleasee helppp
help me please? confused
Answer:
see below
Step-by-step explanation:
sqrt(32)
32
4 * 8
2*2 2*4
2 * 2*2
Taking pairs
2*2 2*2*2
2 * 2 with one 2 left over
2*2* sqrt(2)
4 sqrt(2)
Woodrow took a group of 3 instead of pairs when taking square roots
If base of parellogram is 12 cm lenght is 8cm and prependecular diatance beetween two bases is 7cm find its area and perimeter
Answer:
84 cm^2
10 cm
Step-by-step explanation:
A parallelogram is quadrilateral that has two pairs of parallel sides. The opposite sides equal in length
Area = base x height
12 x 7 = 84 cm^2
Perimeter = 1/2 x ( base + length)
1/2 x (12 + 8) = 10 cm
someone pls help I don't undertand
Determine whether the following sequence is arithmetic or geometric and then
calculate the 8
th and 10th terms
-25, -15, -5, 5, 10, ...
The sequence is arithmetic / geometric. (Circle one)
8
th term: 10th term:
2-4) Removed
The jump from -25 to -15 is +10
The jump from -15 to -5 is also +10
The jump from -5 to 5 is also +10
Unfortunately, this pattern doesn't hold up. The jump from 5 to 10 is +5
Because the gap isn't the same each time, this tells us the sequence is not arithmetic.
----------------
We can show the sequence isn't geometric either. Pick any term to divide it over its previous term
-15/(-25) = 0.6
-5/(-15) = 0.333 approximate
The result isn't the same, so we don't have a common ratio and that's why this sequence isn't geometric.
----------------
It seems like your teacher made a typo. Please double check with them to make sure that they typed the correct sequence. I have a feeling that 10 should be 15, but I'm not entirely sure.
What is the slope of the line that passes through the points (0, -2) and (9,-5)?
Answer:
-1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - (-2) / 9 - 0
-3 / 9
-1/3
[tex]\sqrt{x} 3^4+6^2[/tex]
the amount of rupees 1008 enumal rate 10% is rupees 1200 find the instrest
Answer:
Step-by-step explanation:
Amount=Principal + Interest
1200=1008 + interest
1200-1008=interest
rupees 192 = Interest
Need help on this question asap pleasee
Drag the tiles to the correct boxes to complete the pairs.
Match each ratio with its simplest form.
Answer:
I guess you forget to add the picture
Hey! Can someone please help! I need to find the value of x.
Answer:
68° because it is parallel \ this sign
Can someone please help me solve these two problems?
I’ve been trying for so long
Answer:
y=17x -25
825 = 17x -25
850 = 17x
x = 850/17
x= 50
means 50h
and sorry second one i don't know
Graph this function: f(x) = x2 - 4x - 5
Step 1: Identify a and b.
a=
b =
Answer:
a=1
b=-4
The graph is a parabola with vertex in (2,-9), y-intercept (0,-5) and x-intercepts (+5,0) and (-1, 0)
Step-by-step explanation:
[tex]xv = \frac{ - b}{2a} [/tex]
[tex]yv = f(xv)[/tex]
y-intercept: P(0, c)
x-intercepts: find x1 and x2 with the quadratic formula, then P1(x1, 0) and P2(x2, 0)
Answer:
Answer: a= 1 b= -4
Step 2 find the vertex formula x = -b/2aX= 4/2(1)X= 2
Find the y-coordinate of the vertex: f(x)= 2^2-4(2)-53F(2)= -9
Step 3: plot the vertex(2,-9)
Step 4: factor the function to find the x- intercepts
X-intercepts are: (5,0) and (-1,0)
Step 5: plot x-interceptsStep
6: find y-interceptF(0)= -5
Step 7: plot -5
Done :)
Step-by-step explanation:
Please look at the image
Answer:
F=2E
ANGLE F+ANGLE E=120
2E. + E. =120
3E=120
E=40
Find the area of the circle with a circumference of 30(pie). Write your solution in terms of (pie)
Area in terms of(pie):_______
Answer:
option 3
Step-by-step explanation:
[tex]circumference = 2 \pi r\\30 \pi = 2 \pi r\\\\r = \frac{30 \pi }{2 \pi} =15mm\\\\Area = \pi r^2 = \pi 15^2 = 225 \pi \ mm^2[/tex]
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 9,396 bushels of soybeans, resulting in a crop yield of 40.5 bushels per acre.
To the nearest whole acre, how many acres were harvested?
232 acres
252 acres
285 acres
295 acres
Answer:
A. 232 acres
Step-by-step explanation:
Got it right
The number of acres of land that were harvested is given by A = 232 acres
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the total amount of harvest of bushels be = 9,396 bushels
And , the amount of bushels per acre = 40.5
So , number of acres of land that were harvested is A = amount of harvest of bushels / amount of bushels per acre
On simplifying the equation , we get
The number of acres of land that were harvested is A = 9,396 / 40.5
The number of acres of land that were harvested is A = 232 acres
Hence , the number of acres is 232 acres
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ7
help please I need help
Answer:
it should be A, but it depends on how you look at it