Answer:
x=5-y
Step-by-step explanation:
The angles in a triangle are in the ratio 3:2:1.
a) Show that the triangle is a right-angled triangle
b) The hypotenuse of the triangle is 25 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, 3 + 2 + 1 = 6 parts
The sum of the 3 angles in a triangle = 180° , then
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
3 parts = 3 × 30° = 90°
2 parts = 2 × 30° = 60°
1 part = 30°
The angles in the triangle are 90°, 60°, 30°
Thus the triangle is right angled
(b)
The shortest side is opposite the smallest angle, that is opposite 30°
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 × opposite = 25 ( divide both sides by 2 )
opposite = 12.5
That is shortest side is 12.5 cm
Gabriel deposits $250 into his savings account when he first opens the account. he then deposits $40 every month after that. how much money will he have after 9 months?
Answer:
610
Step-by-step explanation:
Multiply the monthly $40 by the 9 months
(40 times 9 = 360)
Then you would need to add in the original $250 deposit money
(360 + 250 = 610)
If needed,round your answer to the nearest cent.
please help me.
Answer:
1.62 per pen
Step-by-step explanation:
Take the total cost and divide by the number of pens
9.69/6
1.615
Round to the nearest cent
1.62 per pen
A mixture of green paint contains 9 pounds of blue paint and 12 pounds of yellow paint to make the same shade of green paint using 21 pounds of blue paint how much yellow paint would you need
Which statement describes the system of equations? The system has infinitely many solutions. The system has no solution. The system has one solution The system has one solution
what is the volume of the prism ?
Answer:
Your answer is 150 units!
A shirt is 20% off the sticker price of $34. How much is the discount?
Answer:
Step-by-step explanation:
you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)
Nina gets paid $200 a week plus an extra $5 per handbag
she sells. Write an equation for this problem, and identify
the slope and y-intercept
Answer:
y=5x+200
Step-by-step explanation:
x=number of handbags
y-intercept=200
slope=5
please give me brainly since I'm trying to level up!
A diameter of a circle measures 58cm. What is the length of its radius
Answer:
29cm
Step-by-step explanation:
a radius is half of a diameter so half of 58cm is 29cm.
i hope this helps have a good day
Can anyone help? I don’t know how to do #28
Answer:
enlarge the equilateral triangle and put -2
Step-by-step explanation:
How many arrangements can be made from the letters in the word PICCOLO
Answer:
1260Step-by-step explanation:
This is a permutation of 7 letters with double O and double C:
7!/2!2! = 5040/4 = 1260P = 1
I = 1
C = 2
O = 2
L = 1
--------
Total (n) = 7(k) = 2(C), 2(O)p = N! ÷ k!
p = 7! ÷ 2!2!
p = 5,040 ÷ 4
P = 1,260
How many solutions does this equation have? -3s + 10 = 7s
1
Step-by-step explanation:
Biểu thức sin²x + cos²x có giá trị bằng ?
we have sin²x + cos²x = 1
ok done. Thank to me :>
round up 28.046 to the nearest hundredth
Answer:
28.05
Step-by-step explanation:
Suppose you are given a $1000 graduation gift from your grandparents at age 20. You consult and advisor and decide to invest this money for retirement over the next 45 years in an account that pays 8% interest compounded continuously.What will be the value of this account when you retire in 45 years?
Answer: divide and add
Step-by-step explanation:
Determine the inverse of the function
is 5,7,9 a pythagorem theorem? pls help me due rn
Answer:
No
Step-by-step explanation:
a^2+b^2=c^2
5^2= 25
7^2 = 49
25+49=74
square root of 74 does not equal 9
Answer:
No.
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
5²+7²=9²
5²=25, 7²=49, 9²=81
25+49 does not equal 81.
Which of the following properties of equalities can’t be used when solving 3x+6=10-x
Answer:
Step-by-step explanation:
C
Answer:
c) multiplication
Step-by-step explanation:
Brianna mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Brianna mix with each part of water?
Answer:2 1/2
Step-by-step explanation:
Write down the output y in terms of x
Input=x +2 x7 Output =y
Answer:
The answer is 14x
Step-by-step explanation:
2×7=14
x×14=14x
8. The temperature on Monday was -5.4 degrees
Celsius. The temperature on Tuesday was 2.6
degrees less than the temperature on Monday.
What was the temperature on Tuesday?
Answer: -4.1 degrees celsius
Step-by-step explanation:
Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1
Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1
Plzzzz help meeeee plzzzz
Answer:
200
Step-by-step explanation:
PLEASE HELP IM FAILING
Find the output for the relation with the given input. If there is no possible output for the given input explain why not
Step-by-step explanation:
[tex]f(x)=\frac{x}{x-1}[/tex]
To evaluate this function at [tex]x=1[/tex], just substitute 1 in for x:
[tex]f(1)=\frac{1}{1-1}=\frac{1}{0}[/tex]
There is no possible solution at [tex]x=1[/tex] because the value is undefined. You cannot divide by 0.
What is the scale factor from 125% to 100%?
Answer: 4:5
Step-by-step explanation:
Answer:
4:5
Step-by-step explanation:
write 13/19 as a decimal rounded to the nearest hundred
if i got a 48 and a 49 on my math quiz which are worth 90% of my grade and I get a 100 on my hw which is 10% of my grade. I have two more quizzes left. What are the lowest grades to get on both of my quizzes in order to get a 70% average?
Answer:
80
Step-by-step explanation:
80%
which value is equivalent to 30 + 9 divided by (6 - 3) A) 13 B)30 C(32 D)33
Answer:
13
Step-by-step explanation:
30 plus 9 is 39
6 minus 3 is 3
39 divided by 3 is 13
Answer:
the answer is D 33
Step-by-step explanation:
solve pls brainliest
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
Find the average rate of change of k(x) = 3x between x = 4 and x = 4 + h, where h 0.
Simplify your answer. Your answer may be a number or an expression in terms of h.
Answer:
Step-by-step explanation:
8
The average rate of change of the function on [0,4] is 8.