Answer:
x = 25
Step-by-step explanation:
The triangle is isosceles, therefore, the base angles are the same
62 + 2x + 9 + 2x + 9 = 180
62 + 4x + 18 = 180
4x = 180 - 62 - 18
4x = 100
x = 100/4
x = 25
An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The answer is 35.1 cm².
Hope this helps; have a great day!
Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
The expression 100 + 20m, gives the volume of water in Eduardo’s pool (in liters) after Eduardo spends m minutes filling his pool.
What is the volume of water in Eduardo’s pool after he fills it for 5 1/4 minutes?
205 liters in 5 1/4 minutes
m = 5 1/4
20 (5 1/4) = 105
100+105= 205
Find the measure of an angle in standard position for the reference angle 60° in Quadrant II.
Let R = reference angle in quadrant 2.
R = 180° - given angle.
R = 180° - 60°
R = 120°
Find the value of 3p2 – 4p -5, if p= -3
Answer:
-11
Step-by-step explanation:
3 x (-3) x 2 - 4 x (-3) - 5
= -18 + 12 - 5
= -11
x+y=275
75 + 50 = 200
Answer:
x=275-y
Step-by-step explanation:
_____ lateral faces of a rectangular pyramid are congruent.
Adjacent
Opposite
All of the
Answer:
Opposite
------------------------------------
A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T
Answer:
10.5618feet, 0.8125sec
Step-by-step explanation:
Given the height reached by the catapult expressed by the equation H=-16T^2+26T
At the maximum height, the velocity of the object is zero, hence;
v = dh/dt = 0
-32t + 26 = 0
-32t = -26
t = 26/32
t = 0.8125secs
Hence it will attain the maximum height after 0.8125second
Substitute t = 0.8125s into the expression to get the maximum height
H=-16t^2+26t
H = -16(0.8125)^2 + 26(0.8125)
H = -16(0.6602) + 21.125
H = -10.5632+21.125
H = 10.5618
hence the maximum height reached by the ball is 10.5618feet
HELP PLEASEEEE ASAP——————————
Answer:
both the same
Step-by-step explanation:
After watching the squirrels at the local park for several days, Sergei asks his science teacher the following question: "Do more squirrels live in maple trees or oak trees in the city park?”
Is Sergei's question a scientific question? Why or why not?
You can download answer here
tinyurl.com/wpazsebu
i need help plz answer correctly, im giving brainliest and extra points for the 1st person so you better hurry.
Answer:
4x+3y=134
3x+3y=120
Step-by-step explanation:
x represents boxes of black-and-white brochures, while y represents boxes of color brochures.
4x + 3y = 134
3x + 3y = 120
so answer is leftside bottom
What is the measure of angle 1?
VX
920
2
0869
0889
o 90°
92
Mark this and retum
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Sub
Find the volume of the cylinder, Round your answer to the nearest tenth if necessary. Use
3.14 for it.
5 ft
9 ft
The volume of the cylinder is about
ft?
Answer:
V≈706.86
Step-by-step explanation:
V=πr2h ( formula for volume of a cylinder)
Given right triangle HJK, which of the
following ratios is equivalent to cosH?
Answer:
cosH = JH/KH
Step-by-step explanation:
coa refers to base by hypotenuse
for H,
the base is JH and the hypotenuse is KH.
In the given right angled triangle cos H is equivalent to sin K
What is right angled triangle?A triangle in which one of the interior angles is 90° is called a right triangle
Here,
Cos H = Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]
In the given option
sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]
Therefore Cos H is equivalent to the sin K
Hence, sin K is equivalent to the cos H
Learn more about right angled triangle here
https://brainly.com/question/3770177
#SPJ2
6(x-1)=9(x+2) what equal what answer
Answer:
well x = -8 so
Let's solve your equation step-by-step.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)
6x+−6=9x+18
6x−6=9x+18
step two
6x−6−9x=9x+18−9x
−3x−6=18
step three
−3x−6+6=18+6
−3x=24
last step
−3x /−3 = -24 /−3
x=−8
Step-by-step explanation:
write a linear function that shows the linear relationship in the table below.
Answer:
y=1/2x+7
Step-by-step explanation:
First find the slope of the function
Use slope formula:
10-9/6-4 =1/2
M= 1/2x
Find y-intercept:
9=1/2(4)+b
B=7
complete the table for each value of m. an the table be used to show that the expression are equivalent? explain
it is qustion 4. i really need help
Answer and Step-by-step explanation:
m_| 2(3m + 7) |_6m + 14_|
1 | 20 | 20 |
2 | 26 | 26 |
This table can be used to show that the expression are equivalent because every time the variable was plugged in, the output was the same for both equations.
Also, the first equation is the undistributed version of the second equation.
#teamtrees #PAW (Plant And Water)
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
What is the longest iron rod which can be placed flat across the diagonal of a 4m by 2.5m garden shed floor
Answer:
4.7m
Step-by-step explanation:
the length of longest iron rod which can be placed flat across the diagonal of the garden shed can be determined using the Pythagoras theorem,
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = diagonal
4² + 2.5² = 22.25²
c =√22,25 = 4.7m
Help me with this!!!
Answer:
9
Step-by-step explanation:
7z = z + 54
7z - z = 54
6z = 54
z = 9
solve the equation 5w-5+4w-4
Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)
Answer:
B
Step-by-step explanation:
They both equal 121
f(x) = 3(x - 2)
find f(5)
Answer:
9
Step-by-step explanation:
f(x)=f(5) which means 5=x so if 5=x then we can put it into the equation of 3(x-2)
3(5-2)
9
Hope that helps :)
Pls I need help and don’t put that link
Can some help me with this problem
answer:
140000
step-by-step explanation:
you multiply 1.40*10^5
which equals 140000
good luck :)
i hope this helps
have a nice day !!
Answer:
140000
Step-by-step explanation:
to write this in regular notation, you move the decimal 5 places to the right (or just multiply 1.4 x 10^5)
True or false; The radian value of 3n/2 corresponds to the positive y-axis?
True
False
Answer:
true
Step-by-step explanation:
2.5 = x/2. What is x? (x/2 is a fraction)
Answer:
its 5 just move 2 to the other side multipling 5=x
Step-by-step explanation:
(2 times 5)the 3rd power
Answer:
do you mean 2x5=10 = 10x10x10= 1,000
Step-by-step explanation:
Find the first 4 terms and the 10th term of 2n-1
Answer:
1) 1 2) 3 3) 5 4)7
Step-by-step explanation:
In the question it gives you the formula 2n-1
n= number or term for example 1
2x1-1=1
10
9
Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack in
x hours is represented by the equation below.
y = 45
Which of the following correctly describes the two functions?
OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
0
ОВ.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate of
change than Ryan's function, indicating that Daniel can pack fewer boxes per hour.
OC.
The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack more boxes per hour.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack fewer boxes per hour.
OD.
10
Reset
Submit
Submit
8 of 10 Answered
Session Timer: 21:09
Session Score: 38% (318)
- 15
Answer:
A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
Step-by-step explanation:
Given
Ryan: 3 boxes per hour
Daniel: [tex]y = 4h[/tex]
Required
True statement about their functions
First, we calculate Ryan's function.
In 1 hour, he can pack 3 boxes.
In hours, he can pack 3h boxes.
So, the equation is:
[tex]y = 3h[/tex]
So, we have:
[tex]y = 3h[/tex] ---- Ryan
[tex]y = 4h[/tex] --- Daniel
Both functions represent direct proportional functions.
So, when h increases y also increases.
However, Daniel's function has a greater rate of change because[tex]y = 4h[/tex] implies that he can pack 4 boxes per hour while Ryan can pack 3.
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=51°, and CD = 8.8 feet. Find the length of DB to the nearest tenth of a foot
Answer:
7.1 feet
Step-by-step explanation:
Answer:
7.1
Step-by-step explanation: