Answer:
take 20 degree as reference angle
let hypotenuse be x
using cos rule
cos 20=adjacent/hypotenuse
0.93=7/x
0.93*x=7
x=7/0.93
x=7.5
Step-by-step explanation:
The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?
Answer:
The average distance from venus to mars is 2.5x10⁸ kilometers.
Step-by-step explanation:
We know:
d₁: average distance between venus and earth = 2.5x10⁷ km
d₂: average distance between mars and earth = 2.25x10⁸ km
We can find the average distance from venus to mars as follows:
[tex] d_{t} = d_{1} + d_{2} [/tex]
First, we need to equal the base power 10 so we can sum both distances:
[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]
Now, average distance:
[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]
Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.
I hope it helps you!
7=x + 2x - 5 - 58
Show work please
Answer:
x= 23.33
Step-by-step explanation:
7=x+2x-5-58
combine like terms
7=3x-63
add 63 to both sides
70=3x
divide by 3
x=23.33
Please help me find area of circle
Answer:
12.568m^2
Step-by-step explanation:
A=πr^2 where r is. radius
=3.142(2^2)
=3.142(4)
=12.568m^2
Answer:
8m
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
30 m
Step-by-step explanation:
Picture the question as a triangle
The length of the string is the hypotenuse, 60 m
The angle from the ground is 30
The right angle C is from the height of the kite to the ground
The missing angle A 60 is located on the top of the kite
now find b, the height
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(A)=adj/hyp
cos(A)=b/c
b=c*cos(A)
b=60*cos(60)
b=30
Express this number in scientific notation. 53.010.000
Answer:
0⋅100 :)
Step-by-step explanation:
Find the area of a circle with radius, r = 5.78m.
Give your answer rounded to 2 DP.
Answer:
104.96
Step-by-step explanation:
Hope this helps :)
Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?
Answer:
A. (x − p) (x + p) = x² - p²
B. (x – 5) (x + 7) = x² + 2x - 35
C. (x + p) (x + p) = x² + 2px + p²
Step-by-step explanation:
To find - Multiply and match each of the following expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
Proof -
A.)
The expression is - (x − p) (x + p)
Now,
(x − p) (x + p) = x(x + p) - p(x + p)
= x(x) + x(p) - p(x) - p(p)
= x² + xp - px - p²
= x² - p²
⇒(x − p) (x + p) = x² - p²
B.)
The expression is - (x – 5) (x + 7)
Now,
(x − 5) (x + 7) = x(x + 7) - 5(x + 7)
= x(x) + x(7) - 5(x) - 5(7)
= x² + 7x - 5x - 35
= x² + 2x - 35
⇒(x − 5) (x + 7) = x² + 2x - 35
C.)
The expression is - (x + p) (x + p)
Now,
(x + p) (x + p) = x(x + p) + p(x + p)
= x(x) + x(p) + p(x) + p(p)
= x² + xp + px + p²
= x² + 2px + p²
⇒(x + p) (x + p) = x² + 2px + p²
20 points! pls helppppp it's almost recognition day for me!!
I'm sorry but i'm bad at math ;-;
using the given figures, find the values of the unknown variables
(PROVING ISOSCELES TRAPEZOID)
The coordinates of the endpoints of QR are
Q (8, 2) and R (5, 7) ).
Which measurement is closest to the length of QR
in units?
A 5.8 units
B 5 units
C 4 units
D 3.9 units
Answer: I just did the test so the answer is A. 5.8 units
Step-by-step explanation: hope this help thx for the points :D
Length of QR in units = 5.83 units, which is closest to 5.8 units.
The correct option is A.
What is length of line segment?The distance between any two points is the length of the line segment joining the points.
The formula for the distance, D, between two points whose coordinates are (x₁, y₁) and (x₂, y₂)
D = √((x2 – x1)² + (y2 – y1)²)
This is called the Distance Formula.
Given,
Coordinates of points Q (8, 2) and R (5, 7)
Length of QR = Distance between point Q and point R.
D = √((x2 – x1)² + (y2 – y1)²)
D = √((5 - 8)² + (7 - 2)²)
D = √(-3² + 5²)
D = √9 + 25
D = √34
D = 5.83 units
Length of QR rounded to one decimal = 5.8 unit
Hence, 5.8 unit is closest to the length of QR = 5.83units
Learn more about length of line segment here:
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Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?
A farmer has 1235 trees to be planted on a rectangular parcel of land. if there are 24 trees planted in each row and each row must be completed before it is planted, how many trees will be leftover planting?
a. 0
b. 11
c. 55
d. 21
Answer:
c?
Step-by-step explanation:
It's the closest number to 51.
1245/24
HELP! Solve for C in the table.
NO LINKS I'LL MARK BRAINLIEST
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
D
Step-by-step explanation:
I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.
How long could a student take to paint their canvas if they are slower than 75% of the other students?
Answer:
multiply the other kid's time by 3/4
Step-by-step explanation:
there's some info missing but hope this helps!
Help please (no links)
Answer:
Solution given:
8x²+8x+2=0
8x²+4x+4x+2=0
4x(x+2)+2(x+2)=0
(x+2)(4x+2)=0
either x=-2/4=-½
or
x=-2
So
It has 2 solution.
HELP
Suppose that a random parabola has a maximum vertex at (-7, 1). What
would be the value of the Axis of Symmetry for this parabola?
EXPLAIN
Answer:
x = -7 or y = 1
Step-by-step explanation:
Since we are not given the actual formula for the parabola, we do not know in which direction the parabola is facing. The axis of symmetry is the value of the line that splits the parabola perfectly down the middle, to calculate this we need to know in which direction the parabola is facing. Since we do not have this information and only have the maximum vertex we can provide the two possible values for the Axis of Symmetry, which would be the following...
x = -7 or y = 1
The diameter of Circle X is 18 cm. The diameter of Circle Y is 29 cm. Which circle has the greater area and by how much? Use 3.14 for . Use pencil and paper. Describe two ways you can compare the areas of two circles. Explain when you might prefer to use each.
A pizza shop is having a special on meat and
cheese pizzas. A customer may choose one of 3
different crusts, one meat topping, and one
cheese topping. There are 7 different meat
toppings and 8 different cheese toppings
available.
Part A: How many different meat and cheese
pizzas can the shop make?
Answer:
168
Step-by-step explanation:
Help please. Find the area of this circle
Answer:
8
Step-by-step explanation:
find the value of x. round your answer to the nearest tenth.
Answer:
The answer is A. 77.
Step-by-step explanation:
Using trigonometry formula
We know, tan = opposite/adjacent
So, tan x° = 13/3
=> x° = [tex]tan^{-1}[/tex](13/3)
∴ x° = 77.005° ≈ 77.01°
Answer:
A 77
Step-by-step explanation:
A culture started with 1,000 bacteria. After 7 hours, it grew to 1,200 bacteria. Predict how many bacteria will be present after 14 hours. round your answer to the nearest whole number.
Note: When solving for k, round to four decimal places
Answer:
1400
Step-by-step explanation:
I took the Application
Someone help me with this pls
Answer:
5-² is your correct answer
Answer:
=5^10/5^12
= 5^10-12
=5^-2
Which of the following terms best describes the set of all points in a plane for
which the difference between the distances of a given point to two fixed foci
equals a certain constant?
Focus
Focus
A. Hyperbola
B. Circle
C. Ellipse
D. Parabola
someone HELPP PLSSS
The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant
is a A. Hyperbola.
What is a hyperbola?A hyperbola is symmetric along its conjugate axis and resembles the ellipse in many ways.
Examples of the hyperbola that are frequently seen include the path taken by the tip of a sundial's shadow, the scattering trajectory of subatomic particles, etc.
We all know the pictorial representation of a circle, ellipse, parabola, and hyperbola.
A hyperbola is subject to concepts like foci, directrix, latus rectus, and eccentricity.
The given diagram and statements represent a hyperbola.
learn more about hyperbolas here :
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Need help with this question please!!
Answer:
11.1
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]
helppppppppp meeeeeeeeeeeee
hurry
Answer:
9 feet im pretty sure
Step-by-step explanation:
Answer:
yolo
Step-by-step explanation:
What is the length of the line?
Choose 1 answer:
Answer:
√29
Step-by-step explanation:
We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:
a^2 + b^2 = c^2
2^2 + 5^2 = c^2
4 + 25 = c^2
c^2 = 29
c = √29
Since c is the hypotenuse and is the same length of the line, the line is √29 units long
the perimeter of a square is 32cm. find the area
Answer:
64 cm
Step-by-step explanation:
If the perimeter of a square is 32cm. Each side is the same length, and there are 4 sides. 32÷4=8
Each side equals 8. 8•8=64 The area is 64cm.
Create an equation which contains the solution (-1,3)
Answer:
3x + y =0
Step-by-step explanation:
We need to create equation whose solution is (-1,3) . So let another point through which it passes be ( 0,0) .
Since at least two points are required for making a line .Slope :-
=> m = -1-0/3-0
=> m = -1/3
Using point slope form :-
=> ( x - x1) = m( y - y1)
=> ( x - (-1)) = -1/3( y - 3)
=> (x + 1 )3= -y + 3
=> 3x +3 = -y + 3
=> 3x + y = 0
✔️ Checking :-
(-1,3)=> 3(-1) + 3 = 0
=> -3+3=0
=> 0 = 0
• Hence the equation can be 3x + y = 0 .a flower garden is in the shape of an equilateral triangle. each side measures 15 3/8 ft. what is the gardens perimeter
Answer:
16.125 is the perimeter
Step-by-step explanation:
Multiply 15.375 × 3 because a triangle has three sides and is equilateral.
15.375 × 3 = 16.125
Have a great day!
Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways can she choose the 6 sweaters to take? Question 7 options: 1,716 1,235,520 78 575
Answer:
1,716
Step-by-step explanation:
I just took the quiz.