Answer:
They are all the same.
Step-by-step explanation:
The area of a parallelogram is computed by multiplying the base length by the height. All of these parallelograms will have an area of ...
A = (6 units)(4 units) = 24 units²
You can draw any number of parallelograms with these dimensions, and they will all have the same area.
What are the answers and why?
Answer:
The selected answers are correct.
Step-by-step explanation:
The first step of the 3-step test for continuity is
check to see if the function is defined at the point. Here, the function h(-3) is defined as 5.The second step of the 3-step test for continuity is
check to see if the limit exists at the point. Here, the limit is 2, coming at it either from the left or the right. (log6(36)=2; 16·2^-3=2)The third step is
show the function value is the same as the limit at the point of interest. Here 5 ≠ 2, so there is a discontinuity at x=-3.Pleeeeeease help. !! !!!!!
Answer:
259.8 cm²
Step-by-step explanation:
A regular hexagon can be cut into 6 equilateral triangles and an equilateral triangle can be divided into two 30°- 60°- 90° triangles
Note that the apothem (5[tex]\sqrt{3}[/tex]) divides the triangle into two equilateral triangles, thus
The apothem is the long leg (the x[tex]\sqrt{3}[/tex]) side of a 30- 60- 90 triangle, so
x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex] ⇒ x = 5
Thus the side length of the hexagon = 2 × 5 = 10
and the perimeter = 6 × 10 = 60
A = [tex]\frac{1}{2}[/tex] × perimeter × apothem
= 0.5 × 60 × 5[tex]\sqrt{3}[/tex] = 150[tex]\sqrt{3}[/tex] ≈ 259.8 cm²
There are 3.76 × 1022 atoms in 1 gram of oxygen. How many atoms are there in 700 grams of oxygen? Write your answer in scientific notation. If necessary, round your answer to two decimal places.
Final answer:
To find the number of atoms in 700 grams of oxygen, multiply the number of atoms in 1 gram (3.76 × [tex]10^2^2[/tex]) by 700 to get 2.63 × [tex]10^2^5[/tex] atoms, expressed in scientific notation.
Explanation:
To calculate the number of atoms in 700 grams of oxygen, you can use the number of atoms in 1 gram as a conversion factor:
Number of atoms in 1 gram of oxygen = 3.76 × [tex]10^2^2[/tex] atomsMultiply this by the mass of oxygen: 3.76 × [tex]10^2^2[/tex] atoms/g × 700 gThis equals 2.632 × [tex]10^2^5[/tex]atoms of oxygen, which is the number of atoms in 700 grams of oxygen.When multiplying, you multiply the numbers (3.76 × 700) and add the exponents for 10 (22 remains constant because the base is ten and we're dealing with grams of oxygen).
The final calculation gives 2.63 × [tex]10^2^5[/tex] atoms of oxygen, with the answer rounded to two decimal places as instructed and written in scientific notation.
PLEASE HELP ASAP 50 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Since; There are two pre-images for -2
It cannot be a linear Function.
And if we were to plot a graph...
A vertical line would cross At Three point
So; It has to be a cubic function.
Hope it helps...
Regards;
Leukonov/Olegion.
how do you solve this proof? help please. thank you! <3
The answer is given in the file attached
angle addition postulate:
m∠B = m∠1 + m∠3
m∠1 = m∠B - m∠3
Richard has $1,089.26 in his checking account at the end of the month. During the month, he withdrew $120, deposited a check for $325, and wrote one check for $425 and one check for $24.10. What was his checking account balance at the beginning of the month?
$845.16
$1,093.36
$1,333.36
$1,490.16
Answer:
The first option is the right answer $ 845.16
Step-by-step explanation:
1.089.26-120=969.26
969.26+325=1.294.26
1.294.26-425=869.26
869.26-24.10= 845.16
guys im actually begging please.
Answer:
sin 2Ф = -24/25
Step-by-step explanation:
* Lets revise the trigonometry functions in the four quadrants
# First quadrant the measure of all angles is between 0° and 90°
∴ All the angles are acute
∴ All the trigonometry functions of any angle are positive
# Second quadrant the measure of all angles is between 90° and 180°
∴ All the angles are obtuse
∴ The value of sin of any angle is positive (cos and tan are negative)
# Third quadrant the measure of all angles is between 180° and 270°
∴ All the angles are reflex
∴ The value of tan of any angle is positive (sin and cos are negative)
# Fourth quadrant the measure of all angles is between 270° and 360°
∴ All the angles are reflex
∴ The value of cos any angle is positive ( sin and tan are negative)
* We will need to revise two identity to solve the question
# sin²Ф + cos²Ф = 1
# sin 2Ф = 2 sinФ cosФ
* Now lets solve the question
∵ cosФ = 3/5
∵ Ф is in the fourth quadrant
∴ The value of sinФ is negative
∵ sin²Ф + cos²Ф = 1
∴ sin²Ф + (3/5)² = 1
∴ sin²Ф + 9/25 = 1 ⇒ subtract 9/25 from both sides
∴ sin²Ф = 16/25 ⇒ take √ for both sides
∴ sinФ = ± 4/5
- We will chose the value -4/5 because Ф is in the fourth quadrant
∴ sinФ = -4/5
∵ sin 2Ф = 2 sinФ cosФ
∵ sinФ = -4/5 and cosФ = 3/5
∴ sin 2Ф = 2 (-4/5) (3/5) = -24/25
Write a rule for the linear function in the graph
Plz help
Answer:
y = -x +4
Step-by-step explanation:
The y-intercept of the line is at +4, so the only viable choice is the last choice.
___
Each of the equations is shown in slope-intercept form:
y = mx + b
where b is the y-intercept, the y-value when x=0. The graph shows that as point (0, 4). So, the equation you're looking for is ...
y = (some x-term) +4
If you want to spend more brain power on the problem, you can compute the slope of the line as ...
m = ∆y/∆x = (1-4)/(3-0) = -3/3 = -1
Now, you know for sure the equation of the line is ...
y = -x +4
This is a quadrilateral that contains two pairs of parallel sides. What is this quadrilateral?
Answer
A quadrilateral with one pair of parallel sides is a trapezoid. If it has two pairs of parallel sides it is a parallelogram, but parallelograms are also trapezoids in the same way that dogs are also mammals. A parallelogram has two pairs of congruent sides.
Use the quadratic formula to determine the exact solutions to the equation. 2x^2 + 3x − 7 = 0. (Type 2 separate answers)
Answer:
Step-by-step explanation:
Here the coefficients are a = 2, b = 3 and c = -7.
Thus, the discriminant b²-4ac is 3²-4(2)(-7), or 9 + 56 = 63.
Because the discriminant is positive, we know we have two real, different roots. They are:
-3 ± √63 -3 + 3√7 -3 - 3√7
x = ---------------- = ----------------- and x = -----------------
2(2) 4 4
Car A went 60 km in 3/4 hour while a car B went 80 km in 4/5 hour. Which car was faster? How many times faster?
Answer:
Car A went 60 km in 3/4 hour, mean 60: 3/4=80 km per hour.
Car B went 80km in 4/5 hour, mean 80;4/5= 100km per hour.
So Car B went faster than Car A and faster than 20 km. That will be help.
Step-by-step explanation:
Answer: Car B was 1 1/4 times faster
Step-by-step explanation:
Car A went 60 km in 3/4 hour
1 divided by 3/4=4/3 (the inverse of 3/4 is 4/3)
60/1*4/3=80
Car A=80
Car B went 80 km in 4/5 hour
1 divided by 4/5=5/4
80/1*5/4=100
Car B=100
100 divided by 80 is 1 1/4
Hope This helps :P
Help please ..............
Answer:
x = 437.3 ft
Step-by-step explanation:
The angle at the top of the triangle = 90° - 29° = 61°
Using the sine ratio in the right triangle
sin61° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{500}[/tex]
Multiply both sides by 500
500 × sin61° = x, hence
x ≈ 437.3
COS(29) = X/500ft
500 COS(29) = X
X = 437,31 ft