Step-by-step explanation:
Complementary angles means that the angles should add up to 90°.
let the complementary angle of 53.8° is x°.
So,
53.8° + x° = 90°.
x° = 90°-53.8°
x = 36.2°
In an isosceles triangle the length of the legs is 8 cm and the angle between them is 150°. Find the altitude to the legs and the area of the triangle.
Find AH and Aᴬᴮᶜ
Answer:
AH = 4 units
Area of ΔABC = 16 square units
Step-by-step explanation:
Since ΔABC is an isosceles triangle,
AC = BC
∠CAB ≅ ∠ABC [Opposite angles of the equal sides in a triangle are equal]
In ΔABC,
m∠CAB + m∠ABC + m∠ACB = 180°
m∠ABC + m∠ABC + 150° = 180°
2m∠ABC = 30°
m∠ABC = 15°
Now we apply cosine rule in ΔABC,
AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)
AB² = 8² + 8² - 2(8)(8)cos(150°)
AB² = 128 + 110.85
AB = [tex]\sqrt{238.85}[/tex]
AB = 15.45
In ΔABH,
sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]
sin(15°) = [tex]\frac{AH}{15.45}[/tex]
AH = 15.45sin(15°)
AH = 3.998
AH ≈ 4.0 units
HC = [tex]\sqrt{8^{2}-4^2}[/tex]
= [tex]\sqrt{48}[/tex]
= 6.93
Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 square units
Which of the following equations have no solutions?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-60x+32=-60x+60−60x+32=−60x+60minus, 60, x, plus, 32, equals, minus, 60, x, plus, 60
(Choice B)
B
-60x+32=32x-60−60x+32=32x−60minus, 60, x, plus, 32, equals, 32, x, minus, 60
(Choice C)
C
-60x+32=-60x-32−60x+32=−60x−32minus, 60, x, plus, 32, equals, minus, 60, x, minus, 32
(Choice D)
D
-60x+32=32x+60−60x+32=32x+60
Answer:
B & D
Step-by-step explanation:
Options B and D have a solution from the given set of equations.
We need to find from the given which equation does not have solutions.
How to determine whether the equation has no solution?Solve the given equation for x. If you get any value then the equation has a solution.
From option (A):
-60x+32=-60x+60
⇒-60x+60x=60-32
By simplifying the above equation we get no x value. So, there are no solutions.
From option (B):
-60x+32=32x-60
⇒-60x-32x=-60-32
⇒-92x=-92
⇒x=1
From option (C):
-60x+32=-60x-32
By simplifying the above equation we get no x value. So, there are no solutions.
From option (D):
-60x+32=32x+60
⇒-92x=28
⇒x=0.304
Therefore, options B and D have a solution.
To learn more about the system of equations visit:
https://brainly.com/question/14506845.
#SPJ5
please help!!!!!!!!!!!
Answer:
pumpkin: 5
witch: 10
leaf: 50
bat: 20
ghost: 60
Answer:
Bat: 20
Pumpkin: 5
Ghost: 60
Leaf: 50
Witch: 10
7b-2/5=6b-7/5 nudfghnkdfbvugyteugdyvbbbvybhjedfs
Answer:
b=−1
Step-by-step explanation:
how do you solve
16 < b + 8, if b =22
Answer:
16 < 30
Step-by-step explanation:
Substitute 22 for b, add 22 to 8 (30)
The inequality is correct, 30 is greater than 16
Help! Whoever answers correctly and is first to answer I will make brainly! In dire need of help!
Answer:
B
Step-by-step explanation:
Isoceles triangle
Answer:
B. 65 degrees
Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two is,
Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1
The equation of the line can be written as,
y = -1x + C
substitute any one of the point in the equation,
0 = -1(5) + C
0 = -5 + C
C = 5
Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ1
is the number 749 rational?
Solve: -19x- 1 = -12x + 34
19−1=−12+34
19x-1=-12x+34
19x−1=−12x+34
19−1+1=−12+34+1
help me pls I don't get this question
Answer:
To multiply mixed numbers:
Step-by-step explanation:
1. convert to improper fractions
2. top * top
3. bottom * bottom
4. convert back into a mixed number
Answer:
Hi!
In these questions you're being asked to multiply mixed numbers. The easiest way to do this is to convert the mixed numbers to improper fractions, and then multiply them in that form.
For the first question:
[tex]1\frac{3}{5} = \frac{8}{5} ; 1\frac{2}{5} =\frac{7}{5} \\[/tex] To convert the mixed numbers to improper fractions, you just multiply the denominator by the whole number, and then add it to the current numerator, forming the new numerator. The denominator stays the same.
[tex]\frac{8}{5} *\frac{7}{5} = \frac{56}{25}[/tex] Next, multiply together the numerators, and then multiply together the denominators.
[tex]\frac{56}{25} = 2\frac{6}{25}[/tex]
What is the slope of the line?
Answer:
y = 2x-3.
Step-by-step explanation:
Slope is y =mx+b. If we look at the graph, the line passes by (0,-3) and (1,-1). Taking rise over run, (y/x), we can find out that y goes up 2 and x goes right 1. This means that it is a positive slope and that slope would be 2/1, simplified to just 2.
A waterfall is n times the height of its picture on a postcard.
Which equation represents the height, y, of the waterfall if
the picture is 6 cm tall?
A y = 6+n
y = 6+n
y = 6n
y=n-6
Answer: y=6n
Step-by-step explanation:
Which fraction is equivalent to 20
Answer:
4/16
Step-by-step explanation:
Give the 10th term of the following sequence:
1, 4, 7. 10
Answer:
28
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
PLS HELP ASAP
Write a word problem that can be represented by the expression 5/6 divided by 1/3.
Answer:
I have 5/6 of a candy bad and I want to give each of my 3 friends some. How much would each friend get?
Step-by-step explanation:
The word problem that can be represented by the expression 5/6 divided by 1/3 is "There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that".
Given :
The expression 5/6 is divided by 1/3.
The following steps can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3:
Step 1 - The knowledge of arithmetic operations can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3.
Step 2 - There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that.
Step 3 - Solve the above problem by dividing 5/6 by 1/3.
[tex]= \dfrac{5\times 3}{6\times 1}[/tex]
= 2.5
For more information, refer to the link given below:
https://brainly.com/question/25834626
Irina ran 0.25 mile in 2 minutes. At this rate, how many minutes will it take her to run 2 miles?
Enter the correct answer in the box.
Answer:
16
Step-by-step explanation:
2/0.25 = 8
2 x 8 = 16
The value of the x-intercept for the graph of 4x - 5y = 40 is
Answer: The x intercept is 10 or (10,0)
Step-by-step explanation:
4x - 5y = 40 The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.
4x-5(0) = 40
4x + 0 = 40
4x = 40
x= 10
The x intercept is 10 or (10,0)
Terry is an up and coming florist who specializes in weddings. He uses 5 roses, 3 daises, and 4 bundles of green filler to make one bouquet. If r is the cost of a rose and d is the cost of a daisy, and f is the cost of a bundle of green filler, which expression represents the cost for making 75 bouquets
Answer:
75 (5r + 3d + 4f)
Step-by-step explanation:
Cost of 5 roses: 5rCost of 3 daises: 3dCost of 4 green fillers: 4fAmount of bouquets: 75Put them together: 75 (5r + 3d + 4f)I hope this helps!
If f(x) = 2(x - 5), find f(8).
4
6
8
16
Answer:
6
Step-by-step explanation:
So, eq. 8 in f(x)
f(8)=2(8-5)
=2(3)
Multiplying,
=6
Pls Mark me brainliest!!!
Answer:
if (x-5) is an exponent: the answer is 8
Step-by-step explanation:
Substitute:
f(8)=2(8-5)
f(8)=2(3)
f(8)=8
Podemos calcular la profundidad d
de la nieve, en centímetros, que se acumula en el jardín de Harper durante las primeras h horas de una tormenta usando la ecuación
d=5h
Cuántas horas tarda en acumularse 1
centímetro de nieve en el jardín de Harper?
Cuántos centímetros de nieve se acumulan por hora?
Answer:
a) Cuántas horas tarda en acumularse 1
centímetro de nieve en el jardín de Harper?
0.508 horas o 30.48 minutos
b) Cuántos centímetros de nieve se acumulan por hora?
5 cm
Step-by-step explanation:
a) ¿Cuántas horas se necesitan para acumular 1 pulgada de nieve en el jardín de Harper?
1 pulgada de nieve = 2.54 cm de nieve
d = 5 × h
2.54 = 5 h
h = 2.54 / 5
h = 0.508 hora
Convertir a minutos = 0.508 horas × 60 minutos
= 30.48 minutos.
Por lo tanto, se necesitarían 0.508 horas o 30.48 minutos para acumular 1 pulgada de nieve en el jardín de Harper.
b) ¿Cuántos centímetros de nieve se acumulan por hora?
d = 5 h
Por hora = 1 hora
d = 5 × 1
d = 5 cm
Por tanto, se acumulan 5 cm de nieve por hora.
16) 56 is what percent of 40?
%
140
Step-by-step explanation:
56:40*100 =
(56*100):40 =
5600:40 = 140
Why can you use fraction multiplication to check the
answer to a fraction division problem? How do you use
multiplication to check a division problem?
Answer:
Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.
have a great day :)
Because multiplication is the converse of division,
If x/y=z then x=?x/y=z
x=yz
Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.
Just like addition is the converse of subtraction.
If x/y=z,
then x=yz.
If x divided by y is equal to z, then x equals y times z. These are the rules of arithmetic. If they weren't true the universe would fall apart! The rule can be used as a check that you have the right answer.
Therefore converse of division is the answer.
To learn more on division of fractions click here: https://brainly.com/question/7722793
#SPJ6
John has $100 in his bank account, and is spending $3 a day on lunch. How long until he has $55 in his account?
Answer:
15 days
Step-by-step explanation:
We know that John has $100 in his bank account and he is spending $3 a day.
We want to find how many days until he has $55 left.
d=days
55=100-3d
55+3d=100
100-55=3d
3d=45
Solving for d, we divide by 3.
Your answer is 15.
Alice is completing the table so that it is a function. Which values can she NOT use to complete
the table? Explain.
3x + 6 = y
solve for x
Answer:
x=1/3y - 2
Step-by-step explanation:
plz show work how u got the answer to be marked as brainlyest
Sorry this isnt an answer, but i need more information to be able to answer this question! there isnt a photo or any more text attached
Answer
the answer is 91 miles per hour
Step-by-step explanation:
divide 728 by 8
The graph of the function y=f(x) is shown below. What are the values of a,b,c, and d in the definition of f(x) below?
9514 1404 393
Answer:
(a, b, c, d) = (2, -3, -2, 2)
Step-by-step explanation:
The horizontal segment where y=3 extends from x = -2 to x = 2. These are the values of c and d, respectively.
The slope of the left piece is up 2 for over 1, so is 2/1 = 2, the value of a.
The slope of the right piece is down 3 for over 1, so is -3/1 = -3, the value of b.
So, we have ...
a = 2b = -3c = -2d = 2GEOMETRY Write and solve an equation to find the value of x so that it figures have the same area.
Answer:
C. x=7 and the expression is (5+x)9=x*(15 3/7)
Step-by-step explanation:
The width of the first shape is 5+x and the length is 9
The width of the second shape is x and the length is 15 3/7
You want the same area of the figures, so they are equal. And the formula for the area of a rectangle is l*w. So...
(5+x)9=x*(15 3/7)
45+9x=(108/7)x
315+63x=108x
63x-108x=-315
-45x=-315
x=7
So, your answer is C.
When are `x+2` and `3x` equal?
ARE THEY EQUAL?
Answer:
but tbh this equation cannot be equal
Step-by-step explanation:
Answer:
No, they are not equal, because you can not add x to 2, because it does not have an x after the 2, so they are not the same
Step-by-step explanation:
8 Determine if the product of 32 and 8V 18 is
rational or irrational. Explain your answer.
Answer: It is irrational.
Step-by-step explanation:
√18 is an irational number. Multiplying most rational numbers by an irrational number results in an irrational number.