Answer:
74.0°
Step-by-step explanation:
In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.
Using sine rule, we can find ∠K:
[tex]\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\[/tex]
Convert 41 litres to gallons
Answer:10.8311
Step-by-step explanation: yuh
The solutions given by the quadratic formula are______
rational
A. always
B. sometimes
C. never
CAN SOMEONE PLEASE HELP, ILL GIVE BRAINLIEST.
Answer:
x = 3.5
Step-by-step explanation:
3.5 x 3 is 10.5. Triangle two has been expanded each side by 1.5. So multiply 7 (the side with 3x on the other triangle) x 1.5 to get 10.5. To fid x divide 10.5 by 3. This gives you 3.5 as x.
Hope it helps!
Answer:
x = 3.5
Step-by-step explanation:
What we know that the scale factor is 1.5 going from DEF to XYZ (4.5/3 = 1.5; 7.5/5 = 1.5)
So, multiply 7 by 1.5 to get ZX's length. It would be 10.5 units long.
We now know the equation, which is 3x = 10.5
3x = 10.5
Cancel out the multiplication by dividing both sides by 3
x = 10.5/3
Divide 10.5 by 3 to get 3.5
x = 3.5 in this case.
Given the graph below, the equation in slope-intercept form is
Answer:
F(x)=-1x-5
Step-by-step explanation:
The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.
pls help me find the two words using the letters
Answer:
nest ,shot,west,then,show,
hope it helps you
7e = f
What does it mean when a letter and number are together like this
Answer:
multiplication
Step-by-step explanation:
7 x e = f
Answer:
If a number and letter are together, it means it is a multiplication problem. It is the same thing as 7 x e.
Step-by-step explanation:
We don't know what e is because there isn't a number given to us to solve the problem, so we say 7 x e = 7e, but the equation tells us that 7e = f, so 7 x e is equal to f which means 7e is equal to f.
Let me just give a number to e. Let's say e is 5
7e = f
We already know 7e is the same thing as 7 x e, so let's rewrite it
7 x e = f
We will change e to 5 and multiply the numbers together
7 x 5 = f
Now multiply 7 x 5
35 = f
If 35 is equal to f, that means the value of f is 35, so f = 35 ( I don't know if this makes sense lol)
But let's now take the original equation and assume f is 42
7e = f
Remember, 7e is 7 x e, so rewrite your equation
7 x e = f
Now we will change the f to 42
7 x e = 42
To get e, we will have to think about what multiplies by 7 to get 42. We will have to change this to division. We will divide 42 by 7
42÷7 = 6
That means e is 6. Now let's write the equation with changing e to 6
7 x 6 = 42
7 times 6 is 42, so we will multiply that
42 = 42
Now we have equal answers. Of course, 42 is equal to 42
Overall I'm trying to say 7e = f
I'll solve this again, so you won't have to go back up.
7e = f
7 x e = f
f = f
I hope this makes sense lol
an ice skating rink rents out skates for 5.50 per hour you have 22.00 to spend how many hours can you rent a pair of skates?
Which expression is equivalent to 8(7m - 9p)?
Answer:
8(7m-9p) = 8(7m) - 8(9p)
= 56m - 72p
Let me know if this helps!
Answer:
56m-72p
Step-by-step explanation:
8(7m-9p) = 8*7p + 8*-9p = 56m-72p
NEED HELP EMERGENCY ‼️
Answer:
A. Reflect across the y-axis
Step-by-step explanation:
if the negative sign was outside the radical then it would've been a reflection on the x-axis.
if 3x=2z, then 2z=3x whats the explanation
Answer:
3x+2z =8. 2x=4
Step-by-step explanation:
Answer: Symmetric property
Step-by-step explanation:
This is the Symmetric property.
The Symmetric property states: If x=y, then y=x. This fits the question, since 3x=2z, then 2z=3x.
Hope this helps!! :)
Please let me know if you have any questions
Which equation can we use to find the equal volume of concrete in cubic feet darlin' needs for the staircase
Answer:
The equation required to find the volume of concrete is:
L X W X H.
Step-by-step explanation:
L = Lenght
W = Width
H = Height
To calculate the required volume for concrete, you'd need to multiply the measures of all the dimensions together such as the lenght and the breath (which gives you the Area) and the thickness or height of the staircase.
If the calculation is being expressed in Feet, the answer will also be expressed as Volume of concrete in Cubic feet.
Cheers
the perimeter of a rectangle is 52 cm. The length of the rectangle can be represented by (x.+5) and its width can be represented by (3x-7) what are the dimensions of this rectangle?
Answer:
Length=11
Width=11
Step-by-step explanation:
P (perimeter) is 52 so
2(x+5)+2(3x-7)=52
then
2x+10+6x-14=52
8x-4=52
8x=48
x=6
so
Determine the equation of the tangent to x− 3x +1 at the point (3,1)
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. What is the area of a triangle with a base of 2 and a height of 8?
The area of the triangle is....?
Answer:
c² √a²+b²
Step-by-step explanation:
use that formula
I have one word to say. MATH.
Please Help !! (no fake answers please)
Answer:
$80
Step-by-step explanation:
Substitute x for 40 in both equations. Let's start with 50 + 12x. The equation becomes 50 + 12(40). First, multiply 12 by 40 to get 480. Now add 480 to 50 to get a total of $530 in printing fees for Company A.
Now, let's move on to 10 + 15x. That becomes 10 + 15(40). First, multiply 15 by 40 to get 600. Then add 10 to 600 to get $610 in printing fees for Company B.
Now that we know the total costs, let's subtract them to get our difference. Simply subtract 530 from 610 to get our final answer: an $80 difference in printing fee costs between the companies.
Which situation would not be represented by the integer -9?
a hole 9 feet deep
9 dollars withdrawn from the bank
a football pass of 9 yards
a temperature of 9° below zero
Which of the following expressions is equivalent to (-3x5y) (-4x9y2)
Answer:
12x^227xy^2 - 20xy4y^3
Step-by-step explanation:
(-3x5y) (-4x9y^2)
first : -3x (-4x9y^2) = 12x^227xy^2
second: 5y(-4x9y^2) = -20xy45y^3
then we add them (12x^227xy^2) + ( -20xy45y^3)
= 12x^227xy^2 - 20xy45y^3
10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value) if needed.
Answer:
Step-by-step explanation:
Divide the figure into a rectangle and a triangle.
area of rectangle = 5×10 = 50 square units
area of triangle = 0.5×5×10 = 25 square units
total area = 50+25 = 75 square units
F(x)=5x-3 g(x)=[tex]x^{2}[/tex]
find fg (-2)
PLS help
MATH MATH MATH math MATH math
Answer:5 x 2 - 3g
Step-by-step explanation: Substitute the given value into the function and evaluate.
Answer:
5 x 2 - 3g
Step-by-step explanation:
The four of you split the cost of materials you bought for your lemonade stand if the total cost was 85$ how much did you each pay? (Please I need help)
I am not too sure if I got this right. Can someone double check for me? Will mark brainly.
Answer:
you are correct
Step-by-step explanation:
brainliest for the correct answer
Answer:
5.5 ft ^2
Step-by-step explanation:
1.5 * 5= 5.5
Someone please help!!! I need this asap! I will mark brainliest if correct!
Answer:
choice 4) SAS
Step-by-step explanation:
the answer is 4o SAS is the correct answer
What is 75x96.5 please help due in 10 min
Answer:
7334
Step-by-step explanation:
is 8/5 proportional to 24/15 ?
Hey there!
The answer to your question is, yes, it is
Given:
[tex]\frac{8}{5}[/tex] [tex]and[/tex] [tex]\frac{24}{15}[/tex]
To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:
[tex]8*15=24*5[/tex]
Let's solve it and see if it is true:
[tex]8*15=24*5[/tex]
[tex]120=120[/tex]
Therefore, they are proportional.
Cross products
WORD DEFINITION:
Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.
ALGEBRAIC DEFINITION:
Given two fractions, [tex]\frac{a}{b}[/tex] [tex]and[/tex] [tex]\frac{c}{d}[/tex], [tex]a*d[/tex] should equal to [tex]b*c[/tex]
Hope it helps, and have a terrificly amazing day!
NEED HELP PLEASE I NEED TO GET THIS ANSWER RIGHT!!! AND I NEED TO KNOW HOW YOU DID IT.
Answer:24cm2 is your answer Hope this helped you out.
Step-by-step explanation:L=3
W=2 and H=4 So ignore the letters. Those do not matter they are just trying to throw you off. Focus on the numbers. You need to multiply them. 3x4=12 12x2=24.
A point S( 8,-2) is reflected across the origin, Find the order pair of its image.
A. ( -8 , 2)
B. ( -8, -2)
C. (2, 8)
D. ( 2,- 8)
Answer:
the answer is B
Step-by-step explanation:
Do your best
What is the slope of the line that passes through the points (4, 2) and (-16, -10)? Write your answer in the simplest form.
Answer:
the answer would -3/1 or -3
THIS IS THE CORRECT ANSWER!!!
WILL MARK YOU BRAINLIEST
Answer:
because WXYZ is a rhombus
=> WX // YZ
=> ZWX + WZY = 180⁰
=> WZY = 180⁰ - ZWX = 180⁰ - 77⁰ = 103⁰