Answer:
second option ∠C = 60 degrees
Step-by-step explanation:
To find the angle C
we know that the sum of all interior angles of triangle is 180
∠A + ∠B + ∠C = 180 (sum of interior angles)
90 + 30 + ∠C = 180
120 + ∠C= 180
∠C = 180 - 120
∠C = 60
Answer: B. 60
Concept:
Here, we need to know the idea of the triangle angle sum theorem.
The triangle angle sum theorem states that the sum of interior angles is 180 degrees.
Step-by-step explanation:
Given information
∠A = 90°
∠B = 30°
∠C = unknown
Given expression deducted from the triangle angle sum theorem
∠A + ∠B + ∠C = 180
Substitute values into the expression
90 + 30 + ∠C = 180
Combine like terms
120 + ∠C = 180
Subtract 120 on both sides
120 + ∠C - 120 = 180 - 120
∠C = [tex]\boxed{60}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
An old poem reads: As I was going to Saint Ives, I met a man with seven wives. Each swife had seven kids. Each kid had seven cats. Each cat had seven kittens. Kittens, cats, kids, wives, how many were going to Saint Ives? Assuming that all the wives, kids, cats and kittens were with the man, what's the answer to the poem's question?
Answer:
it depends
Step-by-step explanation:
The formula s = sqrt 30fd relates the speed S in miles per hour a car was traveling to the length d in feet that the car skidded when brakes were applied. The variable f is the coefficient of friction, which varies depending on the road surface and the condition of the tires. Which set of numbers contains the value of S for f = 0.5 and d = 63?
* sqrt = Square Root
Select one:
a.
whole numbers
b.
irrational numbers
c.
integers
d.
rational numbers
Answer:
b.
Step-by-step explanation:
30×0.5×63 = 945
this is not a square number. therefore, the sqrt(945) is a number of infinite digit positions after the decimal point without repeating pattern.
so, it is a prime example of an irrational number.
The water was pumped out of a backyard pond. What is the domain of this graph
Answer:
D. Real numbers from 0 to 12
Step-by-step explanation:
The domain is the possible x-values and because the depth can not go below 0, the amount of time stops at 12.
Time also can not go below 0 so we are left with real numbers from 0 to 12
Please help me with this!
Answer:
p=-7
Step-by-step explanation:
-11+10(p+10)=4-5(2p+11)
Firstly, expand the bracket
-11+10p+100=4-10p-55
Next, you collect like terms
10p+10p=4-55-100+11
20p=-140
Divide through by the coefficient of p
20p/20=-140/20
p=-7
A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria
culture. Round your answer to the nearest tenth of a percent.
[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]Answer:
14.87% per hour
Step-by-step explanation:
Let's pretend we're starting with one bacteria.
Double of one is two
We're gonna have to use this formula: A = P(1 + x)ⁿ
A = Amount (which is 2)
P = Initial amount (which is 1)
x = percentage per time (hour)
n = amount of time (hours)
So our equation will look like this:
2 = 1(1 + x)⁵
First, we need to root both sides to isolate (1 + x)
[tex]\sqrt[5]{2} = \sqrt[5]{(1+x)}[/tex]
[tex]\sqrt[5]{2} = 1 +x[/tex]
Then subtract both sides by 1
[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]
[tex]x=\sqrt[5]{2}-1[/tex]
[tex]\sqrt[5]{2} = 1.148698355[/tex]
1.148698355 - 1 = 0.148698355
x = 0.148698355
2(3m+6n) + 3(5m-2n)+ 5(-6m+n)
Answer:
[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]
open the brackets:
[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]
group the coefficients of m and n in their brackets:
[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]
then operate the brackets:
[tex] = - 9m + 11n[/tex]
which properties says that x+(y+3) =x(3+y)
Answer:
Commutative property
Step-by-step explanation:
addition is commutative for example 2+3=3+2
multiplication is also commutative 3*2=2×3
PLEASE HELP WILL GIVE BRAINLIEST ASAP! I REALLY NEED HELP WITH PART B ESPECIALLY
Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Answer:
Step-by-step explanation:
9.59277626267 is irrational.
Because it has many ifinite decimals
Check whether the points ( -2, 3) , (8,3) ,(6,7) are the vertices of a right triangle
Answer:
Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)
AB=
[8−(−2)]
2
+(3−3)
2
=
(10)
2
+(0)
2
=
100
AC=
[6−(−2)]
2
+(7−3)
2
=
(8)
2
+(4)
2
=
64+16
=
80
BC=
(6−8)+[7−(2)]
2
=
(−2)
2
+(4)
2
=
4+16
=
20
If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.
AB
2
=(
100
)
2
=100
and AC
2
+BC
2
=(
80
)
2
+(
20
)
2
=100
∴AB
2
=AC
2
+BC
2
thus triangle satisfies the Pythagoras theorem
Hence, the triangle is right angled triangle.
Step-by-step explanation:
DECIDE!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
DA,DG,DC are tangents of the circles so have the same length.
NB: F is the orthocenter of triangle HDF
Eggs are classified by weight. If an extra-large egg weighs 2 1/4 ounces, what is the weight of a dozen extra-large eggs
Answer:
Step-by-step explanation:
2 1/4 per egg
if there is 12 eggs in a dozen then you would just do:
2 1/4 x 12
( 27 i think)
16d+23=14(d−2) what does d=
Answer:
Answer: d is -25.5
Step-by-step explanation:
[tex]16d + 23 = 14(d - 2)[/tex]
open brackets:
[tex]16d + 23 = 14d - 28[/tex]
collect d terms together:
[tex]16d - 14d = - 28 - 23 \\ 2d = - 51 \\ d = - 25.5[/tex]
Alice gets paid $9.35 per hour for the first 40 hours and then gets time-and-a-half for th
rest of the time. What is her overtime rate?
9514 1404 393
Answer:
$14.025
Step-by-step explanation:
"Time and a half" means the hourly rate is multiplied by 1 1/2.
1.5 × $9.35/hour = $14.025/hour
Alice's overtime rate is $14.025 per hour.
A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?
Answer:
Small shirts = 12 shirts
Large shirts = 18 shirts
Step-by-step explanation:
Given information
There are plans for ordering 24 medium shirts.
For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.
STEP ONE: Find how many groups of [4 medium shirts] are ordered.
24 / 4 = 6
There should be 6 groups of 4-medium-shirts orders.
STEP TWO: Find the number of small shirts.
6 × 2 = 12 shirts
STEP THREE: Find the number of large shirts.
6 × 3 = 18 shirts
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
85% of what number is 27.2
4. Your gross pay is $459, they take out 6.25% for income taxes and 7.65% for FICA
(Social Security & Medicare). How much is your net pay?
If you work for an employer, you and your employer each pay a 6.2 percent Social Security tax on up to $142,800 of your earnings and a 1.45 percent Medicare tax on all earnings.
Answer:
6.25%*459=28.6875
7.65%*459=35.1135
459-28.6875=430.3125
430.3125-35.1135=395.199
Help me pls i have to finish my homework i have more questions to post too
Answer:
8 and 32
Step-by-step explanation:
(19)
x³ ÷ 3 - y ( substitute x = 3, y = 1 into the expression )
= 3³ ÷ 3 - 1
= 27 ÷ 3 - 1
= 9 - 1
= 8
-------------------------------------------------------------
(21)
12k - h² ( substitute h = 2, k = 3 into the expression )
= 12(3) - 2²
= 36 - 4
= 32
Solve for mZJKL.
K
88°
629
M
And find answer for mJKL
Answer:
I DONT KNOW SORRY BRO
Step-by-step explanation:
Which expression is NOT equivalent to 60 + 18?
6(10+3)
6(10+4)
3(20 + 6
2(30 +9)
Answer:
6(10+4)
Step-by-step explanation:
The real question gives 78
Expand all the brackets in the option
and compare if it gives the answer real expression i.e 78
What type of number is 80i?
PLEASE HELP ME i really need this grade
Answer:
x = 2
Step-by-step explanation:
h(x) = -3x + 2
In this question, h(x) has the same meaning as y, so though this is not a standard practice, rewrite the question as
y = -3x + 2
What the question is telling you is that y = - 4
-4 = -3x + 2 Subtract 2 from both sides
-4-2 = -3x Combine
-6 = - 3x Divide by - 3
-6/-3 = x
x = 2
-9(1 - 10n) - 2(3n + 9)
Step-by-step explanation:
-9(1-10n)-2(3n+9)
-9+90n-6n-18
-9-18+90n-6n
-27+84n
3(-9+28n)
I need help on this question please help
Answer:
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What is the mean 17,1,16,16,7,19,3,17
Answer:
mean=12
Step-by-step explanation:
soln:
given,
17,1,16,16,7,19,3,17
X=17+1+16+16+7+19+3+17
=96
N=8
Now,
[tex] \: mean = \frac{summation \: x}{n} [/tex]
[tex] = \frac{96}{8} [/tex]
=12
therefore, Mean=12
hope you understand it
After a cleanup, algae covers 2 miles of a coastline. The length of the coastline covered after the cleanup is $\frac{1}{3}$
1
3 of the previous length. How many miles of the coast did the algae previously cover?
The miles previously covered by algae is 6 miles
let m represent the miles of the coastline covered by algae before the clean-up
fraction of miles covered after the clean-up = [tex]\frac{1}{3}[/tex] x m = [tex]\frac{1}{3}m[/tex]
miles covered after the clean-up = 2 miles
[tex]\frac{1}{3}m[/tex] = 2 miles
to determine the value of m, make m the subject of the formula.
To do this, take the following step :
multiply both sides of the equation by 2
m = 2 miles x 3
m = 6 miles
For more information, please check : https://brainly.com/question/2294445?referrer=searchResults
URGENT WILL MARK BRAINLIEST
Show your work and solve for x and y.
3x + y = 8
2x + 4y = 12
2x+4y=12
x+2y=6--(2)(1)×1 and (2)×3[tex]\\ \rm\Rrightarrow 3x+y=8[/tex]
[tex]\\ \rm\Rrightarrow 3x+6y=18[/tex]
Subtract both
[tex]\\ \rm\Rrightarrow -5y=-10[/tex]
[tex]\\ \rm\Rrightarrow y=\dfrac{-10}{-5}[/tex]
[tex]\\ \rm\Rrightarrow y=2[/tex]
Put the value in eq(2)
[tex]\\ \rm\Rrightarrow x+2(2)=6[/tex]
[tex]\\ \rm\Rrightarrow x+4=6[/tex]
[tex]\\ \rm\Rrightarrow x=6-4=2[/tex]
Answer:
x=2, y=2
Step-by-step explanation:
-2(3x+y=8)
3(2x+4y=12)
-6x+-2y=-16
6x+12y=36
0+10y=20
y=2
3x+2=8
3x=6
x=2
What is 7.5 divided by .05 PLEASE SHOW WORK ASAP!!
Answer:
the answer to that is 150
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
helpppp i don’t remember how to do algebra it’s been two years hahaha
helppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
Im pretty sure it is
Step-by-step explanation:
As you can see there is a pattern, +10, +15, then you see 260, you'd need 5 more numbers before getting to 260, in other words, +30, and not +15 or +10. So yes.