given a is equal to 60 degree and 30 degree prove that sin a + b is equal to sin a cos b + cos a sin b
Answer:
A = 60 and B = 30
Now, A + B = 60 + 30 = 90
Also, A – B = 60 – 30 = 30
sin (A + B) = sin 90 = 1
sin A cos B + cos A sin B = sin 60 cos 30 + cos 60 sin 30
–6x − 8y = –14
y = –2
Answer:
x = 5
Step-by-step explanation:
If you input the y-value into the equation you get x = 5.
-6x-8(-2) = -14
-6x+16 = -14
-6x+16-16 = -14-16
-6x = -30
(-6x)/-6 = (-30)/-6
x = 5
PLEASE HELP ME ANSWER THIS!!
Answer:
i think its X=108
Step-by-step explanation:
Answer:
x=118°
Step-by-step explanation:
a straight line is 180°
therefore 180-62=x
HELP I HAVE 5 MINUETS, DONT GUESS ITS NOT ADDING BTW
Answer:
63.554
Step-by-step explanation:
V=pir^2h
r=3.4/2
h=7
V=pi(1.7)^2(7)
=63.554
1) Find the value of x. Round to the nearest tenth.
Answer:
x ≈ 12.9
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{x}[/tex] ( multiply both sides by x )
x × tan35° = 9 ( divide both sides by tan35° )
x = [tex]\frac{9}{tan35}[/tex] ≈ 12.9 ( to the nearest tenth )
15 similar blouses and 2 similar skirts cost $505. 5 such blouses and 2 such
skirts cost $215. How much do 5 such blouses cost? need this ans asap!
Answer:
Cost of five blouses = $145
Step-by-step explanation:
Let
x = cost of blouse
y = cost of skirt
15x + 2y = 505 (1)
5x + 2y = 215 (2)
Subtract (2) from (1) to eliminate y
15x - 5x = 505 - 215
10x = 290
x = 290/10
x = 29
Substitute x = 29 into (2)
5x + 2y = 215 (2)
5(29) + 2y = 215
145 + 2y = 215
2y = 215 - 145
2y = 70
y = 70/2
y = 35
x = cost of blouse = $29
y = cost of skirt = $35
How much do 5 such blouses cost?
cost of a blouse = $29
Cost of five blouses = $29 × 5
= $145
Cost of five blouses = $145
Find the volume of the composite solid.
Here's the solution,
the volume of the given figure is :
=》
[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]
volume of pyramid :
=》
[tex] \dfrac{l \times b \times h}{3} [/tex]
=》
[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]
=》
[tex] \dfrac{120}{3} [/tex]
=》
[tex]40[/tex]
volume of pyramid = 40 cm³
now, volume of rectangular prism :
=》
[tex]l \times b \times h[/tex]
=》
[tex]4 \times 5 \times 2[/tex]
=》
[tex]40[/tex]
volume of rectangular prism = 40 cm³
volume of composite figure = 40 + 40
=》80 cm³
The volume of the composite solid will be 80 cubic cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The volume of the Pyramid will be given as,
V = (1/3) × Base area × height
Then the volume of the geometry will be
V = L x W x H + (1/3) x Base area x height
V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6
V = 40 + 40
V = 80 cubic cm
Thus, the volume of the composite solid will be 80 cubic cm.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
(2x + 5y -z)+(-6x - 4y +7z)
-4x + y+ 6z
Step-by-step explanation: image below
I literally do not understand this at all. PLEASE HELP ASAP
can someone help me please?
is 15m 36m 39m right triangle
Answer is below. Look at my explanation to understand my answer.
To see if these lengths can make a triangle, we can use the "triangle side theorem."
The formula is:
a + b > c
a + c > b
b + c > a
So, with that being said...
15 → A
36 → B
39 → C
So, we can use the triangle side theorem by adding A & B, A & C, and B & C.
If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.
So, let's add 15 and 36 to see if it can make a triangle.
15 + 36 = 51
If you read above, C is 39.
So, 51 > 39
15 + 36 > 39 ✓
Let's repeat this process again.
Instead of C, B is what we're now seeing if the sum is greater than it.
15 + 39 = 54
54 is greater than 36...
54 > 36
So it is true.
15 + 39 > 36 ✓
Now, A is what we're seeing if the sum is greater than it.
36 + 39 = 75
75 is greater than 15...
75 > 15
So it is true.
36 + 39 > 15 ✓
So yes, these lengths can make a triangle.
Let me know of any questions or concerns.
Please helpppppp!!!!!!
Answer:
C.
Step-by-step explanation:
help please ill give brainliest answer
Answer:
ΔLMN ≅ ΔLQP by (SAA)
Step-by-step explanation:
It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.
Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.
Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.
Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).
During one month, a homeowner used 300 units of electricity and 120 units of gas for a total cost of $114.00. The next month, 290 units of electricity and 150 units of gas were used for a total cost of $115.30. Find the cost per unit of gas.
$_____
Hey can you help me fast!
Answer:
29 square feet?
Step-by-step explanation:
yk im like 99.9% sure this is right, but that other 1% is just doubting me. So all I did to solve this was add up teh sides to find the perimeter of the shape, or in this case, the hole in the ground.
my answer is wrong d o. n o t. put my answer down
Em um campeonato de futesal igor cobrou 20nfaltas das quais 65% foram convertidos em gol quantos gols de falta ele marcou nesse camponato
Responder:
13 gols
Explicação passo a passo:
Dado que :
Taxa de conversão = 65%
Número de fotos tiradas = 20
O número estimado de gols marcados será:
O produto da taxa de conversão e o número de fotos tiradas;
Número de fotos tiradas * taxa de conversão
20 * 65%
20 * 0,65
= 13 gols
Portanto, número estimado de gols marcados = 13 gols
I WILL MARK BRAINLIEST! A parabola opening up or down has vertex (0,3) and passes through (4,7). Write its equation in vertex form.
Ok...so we have this........
y = ax2 + 4 ....... and we need to find "a"
So we have
-1 = a(-10)2 + 4
-5 = a (100)
(-1/20) = a ....... So we have ..........
y = (-1/20)(x- 0)2 + 4 or just (-1/20)x2 + 4
Note that this parabola opens downward...That makes sense since the vertex is above the x axis and the parabola passes through a point below the x axis.
Hope This Helped!
I couldn't copy paste the equation on here, so i attached it in pictures.
Please help help me please ASAP NO LINKS
Answer:
70
Step-by-step explanation:
the formula for area of a trapezoid is (a+b)/2*h, where a and b each equal a base and h represents height. the base measurements of this figure are 9 and 11, and the height is 7 inches. in the formula, that is (9+11)/2*7. first, 9+11 is 20, divided by 2 is 10. 10*7=70, so the area is 70 in^2.
The first high tide today was at 6:47am. The next one is at 2:15pm.
How much time will pass between the first high tide and the
seconda
Answer:
7 hours, 28 minutes
Step-by-step explanation:
2. a=1,
If -a=1, then a =
Answer:
a=1,
If -a=1, then a =
a=1
can you help me pleaseeeeee
a. 11
b. 48
c. 27
Hope this helped \( ̄︶ ̄*\))
Jovan has a credit card with a $1,583 balance his interest rate is 8.8% if he does not pay for 3 years how much interest does
Answer:
$417.91
Step-by-step explanation:
Hey, can you please help me the best that you can. I would really appreciate it, thank you! :)
1 cookie = 45 oz sugar
2 cookies = 2×45 oz = 90 oz
3 cookies = 3×45 oz = 135 oz
...
523 cookies = 523×45 oz = 23,535 oz
A city has a higher elevation than Coachella, CA. Select all numbers that could represent the city's elevation. Be prepared to explain your reasoning.
Complete question :
A city has a higher elevation than Coachella, CA.
Coachella's elevation is 22 feet below sea level (-22 ft.)
Select the four numbers that could represent the city’s elevation. Be prepared to explain your reasoning.
Group of answer choices
-11 feet
4 feet
-8 feet
-35 feet
0 feet
-44 feet
Answer:
- 11 feets
4 feets
0 feets
-8 feets
Step-by-step explanation:
Kindly note, that, elevation below sea level should be represented with negative Integers:
Coachella's elevation = - 22 feets
SINCE it is a stated that city A has a higher elevation than Coachella ;
Therefore, Elevation of city A is greater than - 22 feets
Therefore x from the options possible elevation of city A are :
All values in the option greater than - 22; The numbers include :
-8 feets, 0 feets, - 11 fees, 4 feets
what percent of 71 is 177.5?
Answer:
250%
Step-by-step explanation:
177.5 / 71 = 2.5
2.5 x 100 = 250%
Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.
I WILL GIVE BRAINLIEST!! I really need help with this question.
Answer:
x = 70°, y = 110° , z = 85°
Step-by-step explanation:
∠ BEA and ∠ CDA are corresponding angles and congruent , then
x = 70°
x and y are adjacent angles and sum to 180°
x + y = 180°
70° + y = 180° ( subtract 70° from both sides )
y = 110°
∠ ABE and ∠ ACD are corresponding angles and congruent , then
z = 85°
Thissss isssss the rest
Answer:
In a triangle, sides opposite of congruent angles are congruent.
I need help asap i will give good rating
make sure to keep answer in exact form
Answer:
70 square units
Step-by-step explanation:
this rhombus contains four right triangles with legs of 5 and 7 units
the area of one triangle is:
1/2(7)(5) = 17.5
17.5 x 4 = 70
What is 22,442 divide by 12
Answer: 1870.2
Step-by-step explanation:
Hope this helps!
Answer:
22442 ÷ 12 = 1870.16666.....
someone help me solve this please and with the steps :)?
Answer:
7.20
Step-by-step explanation: