Step-by-step explanation:
this is you answer solved.
The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the triangle is 19 cm long. Calculate the length of the shortest side in the triangle
Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opp}{hyp}[/tex] = [tex]\frac{opp}{19}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
combining like terms with negative coefficients
4x+5y-6xy-7x-8y-9xy?
can anyone help? i’ll mark brainliest
|4x + 4| = 15
First, let's get rid of the absolute value signs to get the first solution.
4x + 4 = 15
Subtract 4 from both sides
4x = 11
Divide each side by 4
x = 11/4 or 2.75
Now, let's get the solution by changing 15 to -15.
4x + 4 = -15
Subtract 4 from both sides
4x = -19
Divide both sides by 4
x = -19/4 or -4.75
16
A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at
least $20. Solve an inequality that represents how much more you must spend to use the $5
coupon.
(1 Point)
Answer: The answer is m= ≥4.50
The required inequality is m ≥ 4.50
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at least $20.
Cost of the shirt = $15.50
you can use a $5 discount coupon if you spend at least $20
The question requires you to find how much more you need to spend to be able to use the $5 discount coupon
The shirt already cost $15.50
Total amount you need to spend = $20
Let the amount remaining = m
m ≥ $20 - 15.50
m ≥ $4.50
Hence, you need to spend $4.50 in order to be able to use the $5 discount coupon.
For more references on inequality, click;
https://brainly.com/question/11612965
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Eric put money into an account that earns interest each year. The expression 200 (1.05)t models the amount of money he has in the account after t years. What does 200 represent
Solve for x: 2x + 7 = -9 - 6x
(PLEASE HELP THIS IS FOR ALGEBRA AND ITS DUE AT IN 9 MINUETS)
Answer:
x=-2
Step-by-step explanation:
2x+7=-9-6x
add 6x on both sides
8x+7=-9
subtract 7 on both sides
8x=-16
x=-2
Answer:
x=-2
Step-by-step explanation:
Let me know if I need to explain but here is the answer cause i know you are in a rush.
Which of the expressions is rational? 25 + 2 7 − 2 64 + 45
Answer:
All of the expressions
Step-by-step explanation:
A rational number is one that can be written as a ratio, or a number with a terminating decimal.
All of the expressions are whole numbers, so they are all rational.
I need help with this one
Answer:
look it up
Step-by-step explanation:
There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using decimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.
1/3(1 - 1/4) to the second power?
Answer:
0.1875
Step-by-step explanation:
a square patio has an area of 200 square ft. how long is each side of the patio to the nearest foot? please answer quickly! will give brainliest.
Answer:
100
Step-by-step explanation:
cause they its 100
Answer:
14 feet
Step-by-step explanation:
Use the square area formula, A = s², where s is the side length
Plug in the area and solve for s:
A = s²
200 = s²
14 = s
So, each side of the patio is 14 feet
If you give me the right answer i will give you the brainlyest!!!!!!
Answer:
the graphed points are in the picture attached
They intersect at (-8,1)
It passes through the x-axis at (-10,0)
It passes through the y-axis at (0,5)
Step-by-step explanation:
:)
Answer:
its a blue line from one ten to anothor
Pls help I don’t understand the question
Find the distance between the points with the coordinates shown.
(-8,5) and (7,-3)
Answer:
17
Step-by-step explanation:
1 over 14 to the power of negative 1
Answer:
14
Step-by-step explanation:
Answer:
1/14^-1 is the same as 14/1^1
thus the answer is 14
the rule used states that a over b power negative 1 is equivalent to b over a power one
Simplify 6⁹ ÷ 6³ So I Need Alot OF help in online schol my teacher isnt really reactive with me too help
Answer:
[tex]6^6[/tex] (or 46656)
Step-by-step explanation:
[tex]6^9\div6^3=\frac{6^9}{6^3} =6^{9-3}=6^6[/tex] (or 46656)
Steps to solve:
6^9 / 6^3
~Apply rule
6^9-3
~Simplify
6^6
Best of Luck!
Owen’s parents were planning a birthday party for him. They have $20.00 to spend on goodie bags. They need to buy 6 goodie bags at $2.49 each. Will Owen’s parents have enough money to buy all 6 goodie bags? I HAVE TO SHOW MY WORK
Answer:
Yes, they can buy all the bags.
Step-by-step explanation:
Owen's parents need to buy 6 bags for $2.49 each.
So, we need to calculate the total price:
$2.49 * 6 = $14.94
Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00
Hope this helps!
Answer:
They will have enough money to spend on 6 goodie bags
Step-by-step explanation:
First, you need to mutiply $2.49 × 6 and then you get 14.94
then you need to subtract $20.00 - 14.94 to get $5.06
so your answer should be, ¨Owen´s parents will have $5.06 left after spending $14.94 of their $20.00 on goodie bags¨
An engine uses 2.25 gallons of gas per hour. How many gallons will it use in 3.2 hours?
Answer:
7.2 gallons
Step-by-step explanation:
2.25 x 3.2 = 7.2
Answer:
7.2
Step-by-step explanation: :>
Solve for s.
8-45 5+13
where is the s in here though
x^4+x^2-20 needs to be factored
Answer:
x^4+x^2-20 factored
b=2
Step-by-step explanation:
(x+2)
(x-2)
(x^2+5)
-x-2y-4z=-6
X-5y-2z=-2
2x-3y+2z=2
Answer:
[tex]\sqrt{2} or (1/2)[/tex]
Step-by-step explanation:
1
=
Using two pieces of data from the table below, write the equation of a line in slope-intercept form.
-4
0
4
8
12
29
28
27
26
25
A. y = 4x - 28
B. y = - 4x + 28
OC. y= 3x-28
OD. y=x+28
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table
m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]
The line crosses the y- axis at (0, 28 ) ⇒ c = 28
y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D
A candy factory has 2 machines that make pieces of candy. Machine A makes 984 pieces of candy
every 6 hours. Machine B makes 1,296 pieces of candy every 8 hours.
Which statement best compares the machines?
Machine B makes candy faster than machine A because machine B made more candy.
Machine A makes candy faster than machine B because machine A took less time.
Machine B makes candy faster than machine A because machine B made more pieces of
candy per hour.
Machine A makes candy faster than machine B because machine A made more pieces of
candy per hour.
5 -x -x = -1 what is x ?
Answer:
x=3
Step-by-step explanation:
[tex]5 - x - x = - 1 \\ 5 - 2x = - 1 \\ - 2x = - 1 - 5 \\ - 2x = - 6 \\ x = \frac{ - 6}{ - 2} \\ x = \frac{6}{2} \\ x = 3[/tex]
hope it helped you:)
Answer:
3
Step-by-step explanation:
5-2x=-1
-5__-5
____-6
-2
3
What is the value of n in the proportion below?
4
12
ОООО
The diagram below shows
two similar
similar rectangles.
Find the perimeter of the
combined figure.
5 cm
13 cm
Answer:
Perimeter of 1st rectangle=20cm
Perimeter of 2nd rectangle=52cm
Faith lost 2 1/2 pounds in 10 days. If
Faith lost the same amount of pounds each
day, how much weight did Faith lose per
day?
Please help me
Answer:
1/4 pound
Step-by-step explanation:
2 1/2 divided by 10
=
1/4
or
5/2 divided by 10
=
1/4
Answer: 1/4 lbs
Step-by-step explanation:
To find weight lost each day, you have to divide total weight lost 2 1/2 lbs by total number of days 10.
(2 1/2) / 10 = 5/2 * 1/0 = 1/4 lbs lost each day
NEED HELP ASAP NO ROCKY !!!!!
Write the coordinates of the vertices after a translation 4 units left and 7 units down.
10+
1
А
B
Searts
-10
10
С
10
-10
A(-6,0) - AOC
BCO,O) - BO
C(-5, -1) - CC
Practice with our 100
Step-by-step explanation:
scan it u could have the answer in a flash
Can someone help me with this please
Answer:
1
Step-by-step explanation:
[tex]11 {x}^{2} = 1 \times 11 \times x \times x \\ 4 {a}^{3} = 1 \times 2 \times 2 \times a\times a \times a \\ common \: factor = 1 \\ \therefore \: GCF \: of \: 11 {x}^{2} \: and \: 4 {a}^{2} = 1[/tex]
Which expression is equivalent to pq ?
P + q
P - q
P/q
qp
Answer:
qp
Step-by-step explanation:
pq = p * q
In multiplication like this, the order doesn't matter:
5 * 3 = 15
3 * 5 = 15
2 * 9 = 18
9 * 2 = 18
Thus,
pq = p * q = q * p = qp
Answer: qp