Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Write an equation of the line in slope intercept form given the information below slope=-4 point=(2,-4)
Answer:
y=-4x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-4(x-2)
y+4=-4(x-2)
y=-4x+8-4
y=-4x+4
A slope of a line is the change in y coordinate with respect to the change in x coordinate. The equation of the line in slope intercept form which is passing through (2,-4) is -4x +7.
What is the slope of a line?A slope of a line is the change in y coordinate with respect to the change in x coordinate. The equation of a line in slope intercept form is given by
y = mx + c.
Given the slope of the line, m=-4. Also, the point through which the line is passing,
(x₁ ,y₁) =(2,-4)
Since the equation of the line in the slope-intercept form of the line is given by
y = mx +c
Since, the above line is passing through (2, -4) and the slope is -4.
Therefore,-4 = -4(2) + c⇒ -4 = -8 + c⇒ -1 +8 = c⇒ c = 7
Substitute the value of m and c in the equation
y = mx + c
⇒ y = mx + c
⇒ y = -4x +7
Therefore, the equation of line in slope intercept form which is passing through (2, -4) is y = -4x +7.
Learn more about the slope of the line here:
https://brainly.com/question/14511992
#SPJ2
Sahil got 28 questions right on the math test. Angelina got 7 more wrong answers than Sahil. There were 40 questions on the test. How many answers did Angelina get right on the math test? Which equation represents this situation?
A. a + 7 = 12
B. a + 7 = 28
C. 7 + 12 = a
D. 7 = 40 - a
Answer:
40-28=12 Sahil got 28 right and 12 wrong
12+7=19 Angelina got 19 wrong and 21 right
40-19= 21
B would be correct
a +7=28
a= 28-7
a=21
Q. Find missing angle
a.60
b.36
c.30
d.41
e.49
Answer:
b or c
Step-by-step explanation:
find the measure of side NO. Figures are not drawn to scale.
The motives for developing calculus in the 1700s were: A. problems in physics. B. problems in biology. C. problems in psychology. D. problems in computer science. E. problems in economics.
Answer:
the answer is A
Step-by-step explanation:
The question is in the image. Please help me.
Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the center of the circle and r is the radius. Our center is located at (0, 1), so h = 0 and k = 1. Going from the center straight up of down we have to move 2 units to get to a point on the outside of the circle, so r = 2. Filling in our equation:
[tex](x-0)^2+(y-1)^2=2^2[/tex] which simplifies a bit to
[tex]x^2+(y-1)^2=4[/tex]
Check
What is the slope of the line on the graph?
X
-2
2.
4
-2
-4
[tex]slope = \frac{1}{2} [/tex]
Hope it helps you...
Find the value of x. Round to the nearest degree.
A) 27
B) 60
C) 30
D) 26
Answer:
Step-by-step explanation:
take x degree as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=9/18
sinx=0.50
x=sin 30
x=30 degree
Sochi starts reading at 11 25 AM and ends at 12 09 PM How many minutes does Sochi read? Use the number pad to enter your answer in the box minutes
Answer:
Step-by-step explanation:
11.25=11.25 hrs
12.09=12.09 hrs
time=12.09-11.25=44 minutes
Answer:
44 minutes
Step-by-step explanation:
35 minutes from 11:25 AM to 12 pm
9 minutes from 12:00 pm to 12:09 pm
35 + 9 = 44 minutes.
Gary was looking for a new cell phone plan. Company A is offering $50 for the phone and $.20 per minute for data usage. How much would Company A’s phone plan cost if Gary spends on average 200 minutes for data?
Answer:
$90
Step-by-step explanation:
c = 50 + .2m
c = 50 + .2(200)
c = 50 + 40
c = 90
Leia cuts congruent triangular patches with an area of 27 square centimeters from a rectangular piece of fabric that is 18 centimeters long and 6 centimeters wide.
How many of the patches can Leia cut from 30 pieces of the fabric?
Answer:
112 patches can be made.
Please help if your awake lol ugh it’s a question check the picture :)
The given information is the _____ of the if-then statement.
A then
B if
C none of the above
You guys are legit tjamks
Answer:
The answer is option C. 13/15
Step-by-step explanation:
1-2/15= 13/15
I need help with this homework
Answer:
Step-by-step explanation:
P(even) fraction: 12/25 %: 48%
P(more than 20) fraction: 1/5... %: 20%
P(even and more than 20) fraction: 2/25 %: 8%
P(less than 5 or more than 20) fraction: 9/25 %: 36%
P(prime and less than 10) fraction: 4/25 %: 16%
P(multiple of 5) fraction: 1/5 %:20%
HELP PLEASE ILL GIVE YOU BRAINLIEST
Answer:
Equation: 80-25= m
Solution: 80-25= 55
Check: 25+55= 80
Step-by-step explanation:
BigBrain
Identify the explicit function for the sequence in the table x 1,2,3,4,5 y 9,14,19,24,29
Answer:
[tex]a_{n}[/tex] = 5n + 4
Step-by-step explanation:
There is a common difference between the consecutive terms of y
29 - 24 = 24 - 19 = 19 - 14 = 14 - 9 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 5 , then
[tex]a_{n}[/tex] = 9 + 5(n - 1) = 9 + 5n - 5 = 5n + 4
answer options for anyone who can give correct answer
Manuel, a plumber, has several pieces of pipe on his truck. He has a piece 6 feet long. A piece 7 feet long, one 9 feet long, and a piece 13 feet long. Find the total length of pipe in feet. If he uses 5 feet of pipe on a job, how many feet of pipe are left?
Choose the correct simplification of the expression the quantity 4 times x all over y all to the second power
Answer:
[tex]( \frac{4x}{y})^{2}[/tex]
Step-by-step explanation:
a store has 9 blue hats and 7 red hats for sale write the ratio of blue hats to all the hats
Answer:
9 : 7, or 9/16 to 7/16
Step-by-step explanation:
We know that there are 9 blue hats.
We know there are 7 red hats.
This is a 9 : 7 ratio.
In fraction form, we must find the total ratio, use that as the denominator, then take the seperate amounts, such as bluei adn red hats, and use that as the numerator:
9+7=denominator
denominator = 16
Blue hats = 9
Ratio of red = 9/16
Red hats = 7
Ratio of red = 7/16
Hope this helps!
Which of the following theorems verifies that AHIJE AKLM? H K M ОА. НА O O O B. LA O C. HL O D. AA
===================================
Explanation:
HA = hypotenuse angle
The tickmarks tell us that the hypotenuse IJ is the same length as the hypotenuse LM. So that's the "hypotenuse" portion of "HA".
The "angle" portion refers to the acute angles HIJ and KLM being the same measure, as shown by the curved arc marking. We aren't referring to the right angles because the HA theorem can only be used for right triangles, so that means the right angle is already built into it (and we can ignore the right angles).
Notice how HA is a special case of AAS.
What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.
Answer:
The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04
Step-by-step explanation:
Answer:
Volume - 452.16 cm
Step-by-step explanation:
First we need to find the area of the circle.
Area of a circle - (3.14)r^2
Insert the radius in the formula -
(3.14) (4)^2
3.14 x 16
50.24 is the area of the circle
Now, we have to multiply this value by the height of the cylinder in order to find the volume.
50.24 x 9 = 452.16 cm
The area of a square piece of land in square units can be represented by the expression 9q^4r^8s^6What is the length
of one side of the piece of land?
Answer:
I'll setup the problem, you do the calculation
Step-by-step explanation:
given the area of a square, you take the square and that is the side of the square
[tex] \sqrt{9 {q}^{4} {r}^{8} {s}^{6} } [/tex]
the square root of a number that is raised to a power is found by dividing the power by 2
example
[tex] \sqrt{ {x}^{6} } = {x}^{3} [/tex]
do that for each term and you have you answer
comment if you have questions
CAN SOMEONE HELP ME PLEASEEEEEEE
Answer:
a) = 7x² + 4y²
b) = 3x + 7xy - 7
Step-by-step explanation:
a) = (9 - 2) x² + (-3 + 7) y²
= 7x² + 4y²
b) = (8 - 5) x + (3 + 4) xy - 7
= 3x + 7xy - 7
I really need help do can someone do it step by step so I can understand plzzzz
Answer:
96×pi ft³
Step-by-step explanation:
by the way, it is totally easy to search for formulas on the internet.
the volume of a cone is
Vc = pi×r²×height/3
we have been given the slant height (10 ft) and the lateral "wall" area of the cone (60×pi ft²).
this wall area is
Aw = pi×r×slant height
60×pi = pi×r×10
60 = r×10
6 = r
so, now we know r fuer the volume formula, and we need the height of the cone (the inner one).
we use Pythagoras
10² = r² + height²
100 = 36 + height²
height² = 64
height = 8 ft
so, now we use the main formula for the volume
Vc = pi×r²×height/3 = pi×6²×8/3 = pi×36×8/3 = pi×12×8 =
= 96×pi ft³
cubic feet ! it is a volume !
How many terms dose the polynomial have 2x^9 + 3x^6 - x - 20?
Answer:
3
Step-by-step explanation:
2x^9 = 1
3x^6 = 2
- x - 20 = 3
Select all of the expressions that are equivalent to
2(2x + y + 3y)
4x + 8y
6x + 7y
4x + 2y + 6y
4x + 4y + 3y
Answer:
2(2x + y + 3y)
=
4x + 8y
4x + 2y + 6y
Which of the graphs below represents a system of equations that has no
solution?
Answer:
the second graph which shows parallel lines
Step-by-step explanation:
Find m∠1 and m∠2. Tell which theorem can be used.
Answer:
1 = 117 ( vertically opposite angles are equal )
2 = 117 ( corresponding angles are always equal )
Step-by-step explanation:
Answer:
angle one=122 because it is using the alternate interior angle theorem
angle 2=58 because it is using the consecutive interior angle theorem
hope this helps
have a good day :)
Step-by-step explanation:
remember consecutive=same sine 122 is on the same side of angle 2 just substract 180-122=58
since 122 is on the opposite side of angle 1 it's going to be alternate something so since it's on the inside its going to be alternate interior angle
can someone tell me if what i selected is right? and if it’s not which one it is? thank you!
Answer:
-7x^2 + 5x + 12 AC = -84 factors = 12, -7
-7x^2 - 7x + 12x + 12
-7x (x + 1) + 12 (x + 1)
(-7x + 12) (x + 1)