Answer:
sinA = h/c; sinC = h/a
Step-by-step explanation:
Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?
sinA= h/c
sinC= h/a
sinA= h/c
sinB= b/c
sinA= b/c
sinC= b/a
Solution:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.
In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent
Therefore in triangle ABC:
sinA = h/c; sinC = h/a
Answer:
A
Step-by-step explanation:
Please help with this question
Answer:
B option is correct Answer. Thanks
John runs 9 miles in an hour. How much distance (in miles) will he cover in 4/3 hours?
A right cylinder has a circumference of 14π cm. Its height is 3 times the radius. Identify the lateral area and the surface area of the cylinder.
L = 923.6 cm2 ; S = 1231.5 cm2
L = 967.6 cm2 ; S = 1231.5 cm2
L = 294 cm2 ; S = 392 cm2
L = 461.8 cm2 ; S = 967.6 cm2
Answer:
L=923.6 cm2 ; S =1231.5 cm2
Explanation:
L=2πR
L=14π
2πR=14π
R=14π/2π=7 - the radius
h=3R=3*7=21 -the height
S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area
S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=
=392π≈1231,5 -the surface area
Divide.
(2x2 + 13x + 9) = (x + 7)
I think the right question, should be like this,
= 2x² + 13x + 9/x + 7
So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.
---------------------------------------
P.S- Sorry for messing writing.
Note: picture not drawn to scale
The circle above has a radius of 10 cm. What is the area of the circle?
Use = 3.14.
А. 628 cm2
B. 62.8 cm2
C. 314 cm2
D. 31.4 cm?
ASAP
Answer: C. 314 cm2
Step-by-step explanation:
The equation for the area of a circle is: pi * radius squared. First, 10 squared is 100. 100 times 3.14 is 314.
The diagram shows a triangle.
What is the value of b?
The value of B is =31 .
the value of b is 31
In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie
Answer:
20
Step-by-step explanation:
In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?
Let x = number correct answers
because school a , gives the same correct and wrong answers, their equation can be represented as :
165 - 5x + 12x =
165 + 7x
School b gives no wrong answer. their equation can be represented as
65 + 12x
to fing the number of correct answers given, equate the two equations
165 + 7x = 65 + 12x
collect like terms
165 - 65 = 12x - 7x
100 = 5x
x = 20
Can anyone give me an answer to this? Help is serverly needed...
a. 4.5 square 3
b.9
c. 9 square 2
b 9 square 3
pls help ill give brainlist (pic below)
Answer:
don't see a question but there 12 units
Step-by-step explanation:
The temperature dropped 2°C every hour for 8 hours. What was the total number of degrees the
temperature changed in the 8 hours?
lºc.
The total change in the temperature was
Veronica has a box that contains 24 pictures of her family, 6 pictures of her dog, and 12 pictures of her friends. Veronica randomly chooses one picture from the box. Which statement best describes what will likely happen.
A. She will definitely pick a picture of her family
B. She will most likely pick a picture of her family
C. She is equally likely to pick a picture of her family or of her dog
D. She is equally likely to pick a picture of her family, of her dog or of her friends
Mario has been at bat 22 times this baseball season. Of the times at
bat, he hit the ball 18 times. Determine the decimal of this situation
and determine if the decimal is repeating or terminating.
Answer:
.81 Repeating Decimal
Step-by-step explanation:
I think
Answer:
0.81
Step-by-step explanation:
18 divide by 22 is 0.81
Help please!! :)))) Thanks!
34
Question 6 Multiple Choice Worth i pones)
(03.02 MC)
The vertices of AABC are A (1,5), B (3,9), and C (5,3). The vertices of ADEF are D (-3, 3), E (-2,5), and F (-1. 2). Which conclusion is true about the triangles?
The ratio of their corresponding sides
,
They are congruent by the definition of congruence in terms of rigid motions.
The ratio of their corresponding angles is 1:3.
They are similar by the definition of similarity in terms of a dilation.
Answer:
They are similar by the definition of similarity in terms of a dilation
Step-by-step explanation:
The given vertices of triangle ΔABC are;
A(1, 5), B(3, 9), and C(5, 3)
The vertices of triangle ΔDEF are;
D(-3, 3), E(-2, 5), and F(-1, 2)
Therefore, we get;
The length of segment, [tex]\overline{AB}[/tex] = √((9 - 5)² + (3 - 1)²) = 2·√5
The length of segment, [tex]\overline{BC}[/tex] = √((9 - 3)² + (3 - 5)²) = 2·√10
The length of segment, [tex]\overline{AC}[/tex] = √((5 - 3)² + (1 - 5)²) = 2·√5
The length of segment, [tex]\overline{DE}[/tex] = √((5 - 3)² + (-2 - (-3))²) = √5
The length of segment, [tex]\overline{EF}[/tex] = √((2 - 5)² + (-1 - (-2))²) = √10
The length of segment, [tex]\overline{DF}[/tex] = √((2 - 3)² + (-1 - (-3))²) = √5
∴ [tex]\overline{AB}[/tex]/[tex]\overline{DE}[/tex] = 2·√5/(√5) = 2
[tex]\overline{BC}[/tex]/[tex]\overline{EF}[/tex] = 2·√10/(√10) = 2
[tex]\overline{AC}[/tex]/[tex]\overline{DF}[/tex] = 2·√5/(√5) = 2
The ratio of their corresponding sides are equal and therefore;
ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.
Let AB = 24, AC = 10 and BC = 26.
a) What is the length of the leg opposite to ∠C?
b) What is the length of the leg adjacent to ∠C?
c) What is sin C?
d) What is cos C?
e) What is tan C?
Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
[tex]\frac{opposite}{hypotenuse}[/tex]
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
[tex]sin(c) = \frac{24}{26} = \frac{12}{13}[/tex]
d)The trig function cosine is equal to
[tex]\frac{adjacent}{hypotenuse}[/tex]
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
[tex]cos(c) = \frac{10}{26} = \frac{5}{13}[/tex]
d)The trig function tangent is equal to
[tex]\frac{opposite}{adjacent}[/tex]
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
[tex]tan(c) = \frac{24}{10} = \frac{12}{5}[/tex]
42 – 7y = -2
12x – 21y = -42
Answer:
Either C or A
Step-by-step explanation:
Hope it help you have a good day
Please answer ASAP
Answer:
the answer I think your looking for is C
Answer: it’s C
Step-by-step explanation:
Can someone give me the formula of compound profit?
Answer:
P (1 + r/n)^(nt)
Step-by-step explanation:
Answer:
A = P(1+r/n)nt
(note the r/n is a fraction)
Step-by-step explanation:
Use the sum and difference rule to find the derivative of y=(3x^5)+(2x^4)-(2x)
Answer:
[tex]y^{'} = 15x^{4} +8x^{3} -2.[/tex]
Step-by-step explanation:
[tex]y=3x^{5} +2x^{4} -2x;\\y^{'} = ({3x^{5}^}) {'} +({2x^{4}}) {'} - ({2x}) {'}; \\y^{'} = 3*5x^{5-1} +2*4x^{4-1} -2*1x^{1-1} ;\\\\ y^{'} = 15x^{4} +8x^{3} -2.[/tex]
3.
I NEED HELP
Write the slope-intercept form of the equation for the line.
A. y=[tex]-\frac{8}{7} x-\frac{3}{2}[/tex]
B. y=[tex]-\frac{3}{2}x+ \frac{7}{8}[/tex]
C. y=[tex]-\frac{7}{8}x- \frac{3}{2}[/tex]
D. y=[tex]\frac{7}{8}x- \frac{3}{2}[/tex]
Answer:
Step-by-step explanation:
Algebra Examples
Popular Problems Algebra Graph y=7x-8
y
=
7
x
−
8
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
7
y-intercept:
(
0
,
−
8
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
−
8
8
7
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
7
y-intercept:
(
0
,
−
8
)
x
y
0
−
8
8
7
0
y=7x-8
How much money would you have if you invested $3000 at 6.25% annual interest, compounded daily for 2 years?
Answer:
[tex]A\simeq3399.41[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $3000
[tex]r = 6.25\% = \frac{6.25\%}{100\%}=0.0625[/tex]
t = 2
n = 365
Then,
[tex]A=3000(1+\frac{0.0625}{365} )^{(365)(2)}\\\\A=3000(1+\frac{0.0625}{365} )^{730}\\\\A=3399.408982\\\\A\simeq3399.41[/tex]
Need help with this question
Answer:
QR = 82.38 to nearest hundredth.
Step-by-step explanation:
As they are similar corresponding sides are in the same ratio.
So MN / QR = LM / QR
13/51 = 21/ QR
`3QR = 51*21
QR = 51*21/13
QR = 82.38
CAN SOME ONE HELP ME
Answer:
(a⁴+b⁴)(a²+b²)
Step-by-step explanation:
in the pictures
-plz answer branliest porvided no links
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
Which linear function has a y-intercept of -5?
2x+y=-10
x-y=-5
x-3y=15
-x+4y=20
Answer:
It could be =15 or =0
Step-by-step explanation:Multiplying each side of −3x+4y=20
by 2 gives −6x+8y=40
. Adding each side of −6x + 8y = 40 to the corresponding side of 6x+3y=15
gives 11y=55,ory=5
. Finally, substituting 5 for y in 6x+3y=15
gives 6x+3(5)=15,orx=0
.
Answer:
x-3y=15 has a y-intercept of -5
Step-by-step explanation:
A y-intercept occurs when x = 0. So, when x = 0, which function has a y-value of -5?
Plug in 0 for all the values of x and solve for y.
1. 2(0)+y=-10; y=-10
2. (0)-y=-5; y = 5
3. (0)-3y=15; y = -5
4. -(0)+4y=20; y= 5
Please help I’ll give brainliest
Answer:
$28.20
Step-by-step explanation:
11 bumper stickers = $10.34
per sticker = $0.94
30 bumper stickers = 30*0.94
=28.20
30 bumper stickers = $28.20
Answer:
$28.20
Step-by-step explanation:
First, find out how much each bumper sticker costs.
Assuming that the cost of each bumper sticker is the same, the following equation represents how much one number sticker costs.
11x = 10.34
Solve for x [divide both sides by 11]
x = 0.94
So, one bumper sticker costs $0.94
Now, find out how many 30 bumper sticker costs.
The following equation represents how much 30 stickers cost.
30x = y
X represents the cost of one sticker and y represents the cost of 30 stickers.
We already know the value of x [one bumper sticker's cost] which is $0.94, so subsitute that in for x.
30[0.94] = y
28.2 = y
So, 30 bumper stickers cost $28.20.
:)
Choose the most appropriate answer.
"HEIGHT(50 inches)," "HEIGHT(50)," and "H(50)"all represent which of the
following?
O
A. The height of an object given a length of 50 inches.
B. The height of an object with area 50 inches.
C. The height of 50 inches.
Answer:
The answer its A:
Step-by-step explanation:
I hope its correct.
6) x is less than or equal to 7
I cant download the answers.
Answer:
add it then it will be easy than downloading
Answer:
{-3, -2, -1}
Step-by-step explanation: