Alexa's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 20^\circ20
∘
20, degree, and traveled a distance of 3.43.43, point, 4 kilometers before she fell in a straight line perpendicular to the ground.
How far from the skydiving center did Alexa land?
Answer:
3.19495491 rounded to the nearest hundredth is 3.19
Step-by-step explanation:
The distance from the skydiving center did Alexa land will be 3.19 km. The formula of trigonometry is used in the given problem.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From ΔABC it is obtained that;
[tex]\rm Cos A = \frac{AC}{AB} \\\\ COS 20^0 = \frac{AC}{3.4} \\\\ AC= 0.9694 \times 3.4 \\\\ AC = 3.19 \ km[/tex]
Hence the distance from the skydiving center did Alexa land will be 3.19 km.
To learn more about the trigonometry refer to the link;
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Complete the statements below that show y = 8x2 + 32x + 17 being converted to vertex form. Factor out the leading coefficient. y = 8(x2 + 4x) + 17 Write in vertex form.
Answer:
4, -32
2, -15
Step-by-step explanation:
Trust me bro.
3c-d=t solve for d
I'm confused on this
Find the (real-valued) general solution to the differential equation. z″+8z′=0 z(t)=
The general solution to the differential equation z″+8z′=0 is z(t) = Ae^(-8t) + B, where A and B are arbitrary constants.
Explanation:The differential equation z″+8z′=0 can be solved by separating variables and integrating.
Let v = z′ be the derivative of z.
Then the equation becomes v′+8v=0.
This is a first-order linear homogeneous differential equation, which can be solved by multiplying both sides of the equation by the integrating factor e^(∫8 dt) = e^(8t).
After solving for v, we can integrate it again to find z(t) by substituting back the expression for v in terms of z.
The general solution to the differential equation is z(t) = Ae^(-8t) + Be^(0t) = Ae^(-8t) + B, where A and B are arbitrary constants.
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a baker used 4 cups of flour to make 5 batches of brownie. How many cups of flour does the baker need to make 1 batch of brownies
heeelp
please I will mark the brainliest, please help and show your work
!!!!!30 POINTS!!! HELP ME ON THESE GEOMETRY QUESTIONS PLEASE! PLEASE SHOW WORK AND EXPLAIN
Factor the expression 8x3y − 8x2y − 30xy.
Answer: Our factorized term will be
2xy(2x+5)(2x-3)
Explanation:
Since we have given that
[tex]8x^3y-8x^2y-30xy[/tex]
All we need to do is to factorise this expression.
Here are the steps given below:
[tex]2xy(4x^2-4x-15)[/tex]
By manipulating the terms, we get:
[tex]2xy[(2x)^2-4x+1-16]\\\\2xy[(2x-1)^2-16]\\\\2xy[(2x-1)^2-(4)^2]\\\\2xy[(2x-1-4)(2x-1+4)]\\\\2xy[(2x-5)(2x+3)][/tex]
Alternatively,
By using splitting the middle terms,
[tex]2xy(4x^2-4x-15)\\\\2xy(4x^2-10x+6x-15)\\\\2xy[2x(2x-5)+3(2x-5)]\\\\2xy(2x-3)(2x+5)[/tex]
Hence, our factorized term will be
2xy(2x+5)(2x-3)
A convex polygon has 6 sides what is the sum of its interior angles
Ally bought a mattress and 4 pillows. The mattress cost $769
more than the 4 pillows. She gave the cashier $1300 and
received $51 change.
How much did each pillow cost?
Answer:
Cost of each pillow is $120.
Step-by-step explanation:
Let P denotes cost of each pillow and M denotes cost of mattress.
Then, given cost of mattress is $769
also, Ally gave the cashier $1300 and received $51 change.
Total amount Ally paid = total amount she gave - total amount she receives back.
= $( 1300 - 51 )
= $1249
Since, Ally brought one mattress and 4 pillow . Thus, Total cost is given as,
⇒ M + 4 P = 1249
⇒ 769 + 4 P = 1249
⇒ 4 P = 1249 - 769
⇒ 4 P = 480
⇒ P = 120
Thus, cost of each pillow is $120.
Use the Distributive Property to find (z−5)(z+3).
The Distributive Property allows you to multiply the terms within (z−5)(z+3) to obtain z² + 3z - 5z - 15. After combining like terms, the final result is z² - 2z - 15.
Explanation:To use the Distributive Property to find the product of (z−5)(z+3), you multiply each term in the first parenthesis by each term in the second parenthesis. Here are the steps:
Multiply z by z, which is z².
Multiply z by +3, which gives you +3z.
Multiply -5 by z, which results in -5z.
Finally, multiply -5 by +3, which is -15.
After multiplication, you combine like terms:
z² + 3z - 5z - 15
Combine +3z and -5z to get -2z
So, the final result is z² - 2z - 15.
dividing fractions (pt. 2)
What type of transformation is demonstrated in the following figure?
Image by Phoebe Baker
A.
dilation
B.
reflection
C.
rotation
D.
translation
Have you ever thought about the number of times your heart beats in a life time? Consider the average life span of 75 years and the average heart beat of 1.2 heartbeats per second. Estimate, using scientific notation, the number of times your heart will beat in your lifetime.
The average human heart beats approximately 108,000 times in one day, 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. In a lifetime, your heart will beat an estimated 2.925 x 10^9 times.
Explanation:The average human heart beats approximately 108,000 times in one day, 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. To estimate the number of times your heart will beat in your lifetime, we can multiply the number of heartbeats in one year by the average life span:
39 million heartbeats/year x 75 years = 2.925 billion heartbeats in a lifetime
In scientific notation, this can be expressed as 2.925 x 10^9 heartbeats.
The average heart beats approximately 3 billion times during a 75-year lifespan.
Explanation:The average heart beats approximately 108,000 times in one day, more than 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. To estimate the number of times your heart will beat in your lifetime, you multiply the average heartbeats per year by the number of years in your lifespan.
For example, if we assume an average lifespan of 75 years, we can estimate the number of heartbeats in a lifetime:
39,000,000 heartbeats/year x 75 years = 2,925,000,000 heartbeats in a lifetime (2.9 x 10^9)
How many years does it take for an annuity of $ 1,000 to grow to $ 20,000, assuming k = 7%?
a. 12.94
b. 13.02
c. 14.18
d. 15.67
e. none of the above?
If 5^3 b-1=5^b-3, what is the value of b?
Answer:
wht the girl ontop said
Step-by-step explanation:
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-6x+5-4(x-1)=-4x-(5x-3)+4
what's the area of a square picture with 16 inch sides
Answer:
256
Step-by-step explanation:
What is the answer. Do not need to explain.
10 more points need it fast
identity the pair of numbers that does not belong with the other three. explain.
Which property can be used to expand the expression -2(3/4x + 7)?
Answer:
C
Step-by-step explanation:
Right in edge2020
Find (19 x 10*5) -(5 x 10 *4)
Answer:d
Step-by-step explanation:
The dining room table in Logan’s dollhouse is a replica of the dining room table in the actual house . The replica is 4 7/8 in. Long how long is the table in the actual house
Answer:
6ft 6 in
Step-by-step explanation:
Write a proportion that uses the scale factor 1/16. The numerator corresponds to the dollhouse, and the denominator corresponds to the actual house. So 4 7/8 goes in the numerator, and the variable goes in the denominator.
1/16=478xx=16⋅478x=78
There are 12 in. in a foot, so 78 in. equals 6 ft 6 in.
The total weight of 15 boxes is 45 pounds .how much would 40 boxes weigh
the surface area of a pyramid is 533 square meters. what is the slant height? (base=13m) (width=13m)
With two dice, each numbered 1-6, there are two possible ways to roll a 3: thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. how many possible ways are there to roll a 4?
B= [2 8 .6 3 ] A= 3 0 2 -1]
what is BA ?
The product of matrices[tex]\(B\) and \(A\) is \([12 \, 24 \, 4 \, -2]\).[/tex]
To find the product (BA), we multiply each row of (B) by each column of (A) and sum the products.
Let's calculate the elements of the resulting matrix (BA):
a. First row, first column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
b. First row, second column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
c. First row, third column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
d. First row, fourth column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
Therefore, the first row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]
Similarly, for the second row of (BA):
a. Second row, first column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
b. Second row, second column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
c. Second row, third column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
d. Second row, fourth column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
Therefore, the second row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]
Hence, the product [tex]\(BA\) is \([12 \, 24 \, 4 \, -2]\).[/tex]
Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats.
When writing constraints for the problem, what is the most reasonable definition for the variables x and y?
A) Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used.
B) Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made.
C) Let x represent the number of dog bone treats made and y represents the number of cups of flour used.
D) Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Answer with explanation:
Number of cups of peanut that Dana has =10 cups
Number of cups of flour that Dana has =12 cups
Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Constraints
⇒x>0, y>0
⇒3 x+y ≤10
⇒2 x+4 y ≤ 12
Maximize(Objective Function):
Z=6 x +7 y
⇒⇒ The most reasonable definition for the variables x and y as Dana wants to maximize her income from selling the dog treats
Option D: Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Ted take home pay is 1900 a month. He spend 17%of his take home pay on groceries. How much do groceries cost tedeach month
A piece of wood is 1.75 meter long A carpenter saws off 0.8 meter from it. Then he saws the remaining piece into 2 pieces of equal length. How long is each of the equal pieces?