Answer:
The first angle is [tex]70^{o}[/tex].
Step-by-step explanation:
Let the measure of the second angle be represented by [tex]x^{o}[/tex].
Thus, the first angle = [tex](3x+10)^{o}[/tex]
Third angle = [tex]90^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]
divide both sides by 4 to have;
[tex]x^{o}[/tex] = [tex]20^{o}[/tex]
The first angle = [tex](3x+10)^{o}[/tex]
= ( 3 x 20 + 10)
= 60 + 10
= [tex]70^{o}[/tex]
Therefore, the first angle is [tex]70^{o}[/tex].
What does it mean for a function to have a root?
Answer:
Step-by-step explanation:
A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .
Answer:
A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .
Please help, I don't understand, please
-8+(-3)=
Answer: -11
Step-by-step explanation:
Answer:
the answer is -11
Step-by-step explanation:
= -8+ -3
= -11
Pls help... asappp pls.
can someone help quickly
Answer:
your answer would be 9
a=9
Step-by-step explanation:
Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?
I know this is easy math but I couldn't understand a thing my math teacher was talking about when we learned this.
In 5 hours Arian can make 14 Bracelets.
What is unitary method ?Unitary method is first obtaining the value of a single unit and then deriving any given unit given.
According to the given question Arian is making bracelets.
It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.
∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is
= 7/20 hours OR (7/20)×60 minutes = 21 minutes.
5 hours is = 5×60 = 300 minutes.
So, in 21 minutes he makes 1 bracelet.
In 300 minutes he can make (300/21) Bracelets which is
= 14.28 Bracelets.
learn more unitary method here :
https://brainly.com/question/21648365
#SPJ2
Identify the lateral area and surface area of a right cone with a radius of 7 cm and a slant height of 15 cm. PLEASE HELP!!! A)L = 329.9 cm2 ; S = 373.9 cm2 B)L = 329.9 cm2 ; S = 483.8 cm2 C)L = 659.7 cm2 ; S = 483.8 cm2 D)L = 659.7 cm2 ; S = 813.6 cm2
Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
I need help on 13&14
Answer:
[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]
Simplifies to:
[tex]36i^2 + 3[/tex]
[tex]= 39[/tex]
13. In a park there are 1596 trees in 42 rows. If each row has the same number of trees, estimate the number of trees in one row, rounded off to the nearest tens.
Answer:
The ultimate answer according to the question is is 40 trees in one row.
Step-by-step explanation:
Let no. of trees in one row be X.
There are 42 rows,
or, 42X= 1596
or, X= 1596/42
So, X=38
Now, while rounding off to the nearest ten 38 goes to 40.
Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
Answer: 23 , 14 , 2
Step-by-step explanation:
V(-3)=14-3(-3)
=14+9
=23
V(0)=14-3(0)
=14-0
=14
V(4)=14-3(4)
=14-12
=2
I hope this helps
To enhance Jamie’s explanation, describe both sections of the piecewise function using linear equations. Include any limits to the domain. HELP ASAP
Answer:
Sugar
Step-by-step explanation:
can ratios be thought of as fractions?
20+52x81/5 is the algebra question
Answer:
The first person said it before I did :( Well, good luck with your studies! Hope you have a great day!
From: iOEPoint Q (-2, -2) is translated according to this rule (x - 3, y + 4). Which directions will Point Q be translated?
Answer:
it would be translated up.
Step-by-step explanation:
(-2,-2) (x-3, y+4)
-2-3= -5 -2+4= 2
(-5,2)
what is -9/12 + 4/12=
Answer:
I think it would be -0.416 but I'm not real sure so make sure before using my answer! :3 Have a great day!
Write the ratio in simplest form for area of pool/ area of yard
Answer:
Option (C)
Step-by-step explanation:
From the map attached,
Area of the rectangular yard = length × width
Length of the yard = 10 units
Width of the yard = 8 units
Area = 10 × 8
= 80 square yards
Since, pool is a composite figure of two rectangles,
Therefore, area of the pool = Area of large segment + Area of the small pool
= (5 × 6) + (3 × 3)
= 30 + 9
= 39 square units
Ratio of Area of the pool and area of yard = [tex]\frac{39}{80}[/tex]
Therefore, Option (C) will be the answer.
You are working to earn enough money for a vacation which costs 1200.0 dollars. Your take-home pay is $16.50/hour, but you only work 4-hour shifts each day. How many days will it take for you to earn enough money to pay for your vacation if all the money you earn goes towards your vacation
Answer:
It will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.
Step-by-step explanation:
From the question,
The total cost of the vacation is 1200.0 dollars, that is $1200.0
Also, you earn $16.50/hour but you only work for 4 hours each day.
First, we will determine how much you earn in a day.
If you work for 4 hours each day and earn $16.50 / hour; then the amount you earn in a day is
$16.50/hour × 4 hour
= $66.00
Hence, you earn $66.00 dollars each day.
Now, to determine the number of days it will take for you to earn enough money to pay for your vacation, that will be
The cost of the vacation divided by the amount earned each day
Cost of the vacation = $1200.0
Amount earned each day = $ 66.00
Hence, the number of days it will take for you to earn enough money to pay for your vacation is
$1200.0 / $66.00
= [tex]18\frac{2}{11} days[/tex] or 18.18 days
Hence, it will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.
3
Simplify the following expression.
99 + 5 [15 – (17 - 6)]
O A.
229
ОВ.
119
OC.
163
Reset
Submit
2 of 10 Answere
Answer:
416 is your answer
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Answer:
119
Step-by-step explanation:
Following the order of operations as stated in PEMDAS
Given
99 + 5 [ 15 - (17 - 6) ] ← evaluate parenthesis
= 99 + 5 (15 - 11)
= 99 + 5( 4) ← evaluate multiplication
= 99 + 20 ← evaluate addition
= 119
Pls helpppp meeee‼️‼️‼️‼️‼️‼️‼️
I think 9,6 is right answer
Answer:
2 yards because 3 is divided by 6
is 1 (b+6) equivalent to (b+6)
Answer:
Yes.
Step-by-step explanation:
Step 1: Write out expressions
1(b + 6) = b + 6
Step 2: Distribute 1
b + 6 = b + 6
100 POINTS!! ASAP - Please SHOW WORK!!
Answer:
h = 435.779 m
Step-by-step explanation:
Step 1: Define variables
∅ = 5°
Hypotenuse (the road) = 5000 meters
We need to find height (or the vertical leg on the triangle) = h
Step 2: Use trig
sin∅ = opposite over hypotenuse
sin5° = h/5000
Step 3: Evaluate
5000sin5° = h
h = 435.779 m
Answer:
the increase of altitude is 435.8 m
Step-by-step explanation:
see attached
inclined road at 5°
after driving 5000 along the end road.
find:
increase of altitude (h)
let Ф = 5°
road = hypothenuse
using the formula Sin Ф = h ÷ hypothenuse
Sin(5) = h
5000
h = Sin (5) x 5000
h = 435.8 m
therefore,
the increase of altitude is 435.8 m
2x +y when x= 3, y=1.
Answer:
I needed help on that question too
What is the equation to the expression -2-3(-4)?
Answer:
c) -1
Step-by-step explanation:
-2-3-(-4)
=-5+4
=-1
at home any hours of service do repair service s cost the same which equation could you use to solve
Answer:
how many hours times repair service
Step-by-step explanation:
sound travels 1129 feet per second air. how far can sound travel in 2 seconds when traveling through hair
Answer:
Sound travels 2258 feet in 2 seconds while travelling through air.
Step-by-step explanation:
Who can get it right?
I had £3.00.
My Mom gave me £10.00.
My Dad Gave me £30.00.
My Aunt & Uncle gave me £100.00.
I had another £7.00.
How much did I have?
Right answer will get deleted.
I won against Laura leadbetter
the answer is 150 dollars
Step-by-step explanation:
I know this because you add
We want to perform a sum of various values. We will find that the total amount of money that you have is £150.00
We know that:
You initially have £3.00.Your Mom gives you £10.00.Your Dad gives you £30.00.Your Aunt & Uncle given you £100.00.You had another £7.00.So the total amount of money that you have is the sum of all these values, we will get:
£3.00 + £10.00 + £30.00 + £100.00 + £7.00 = £150.00
Then the total amount that you have is: £150.00
If you want to learn more, you can read:
https://brainly.com/question/19245500
how many cookies can be made with 12 eggs
Answer:
It varies depending on the measurements of the other ingredients that are being used.
Step-by-step explanation:
The sales tax on a used car priced at $4600 is $409.40. What is the sales tax rate?
Answer:
8.9%
Step-by-step explanation:
sales tax rate (in percentage) = 409.40÷4600*100=8.9%
What is 450,000,000 written in scientific
notation?
I need to change the subject to x
Answer:
h) (x+4t²)/4= 3V
x+4t²= 4*3V
x+4t²=12V
x=12V-4t²
MN=√(3x-2)
(MN)²=3x-2
3x-2=(MN)²
3x=(MN)²+2
x= [(MN)²+2]/3
At a grocery store Daniel wants to buy 3 1/5 of ham. What decimal will be shown on a digital scale show? Write 3 1/5 as a fraction and then divide.
Answer:
3.2
Step-by-step explanation: