Several hours after departure the two ships described to the right are 50 miles apart. If the ship traveling south traveled 10 miles farther that the other how many miles did they each travel.
Answer:
[tex]Ship\ A = 40\ miles[/tex]
[tex]Ship\ B = 30\ miles[/tex]
Step-by-step explanation:
Given
[tex]d = 50[/tex] --- distance apart
[tex]Ship\ B = x[/tex]
[tex]Ship\ A = x + 10[/tex]
The question can be represented with the attached image.
Required
Solve for x
Using Pythagoras theorem, we have:
[tex]x^2 + (x + 10)^2 = 50^2[/tex]
Open bracket
[tex]x^2 + x^2 + 20x + 100 = 2500[/tex]
Collect like terms
[tex]x^2 + x^2 + 20x + 100 - 2500 = 0[/tex]
[tex]2x^2 + 20x -2400 = 0[/tex]
Divide through by 2
[tex]x^2 + 10x -1200 = 0[/tex]
Expand
[tex]x^2 + 40x - 30x -1200 = 0[/tex]
Factorize
[tex]x(x + 40) - 30(x +40) = 0[/tex]
Factor out x + 40
[tex](x - 30)(x +40) = 0[/tex]
Split and solve for x
[tex]x - 30 = 0\ or\ x + 40 = 0[/tex]
[tex]x = 30\ or\ x = -40[/tex]
Distance can not be negative
So:
[tex]x = 30[/tex]
Recall that:
[tex]Ship\ B = x[/tex]
[tex]Ship\ A = x + 10[/tex]
This implies that:
[tex]Ship\ B = 30\ miles[/tex]
[tex]Ship\ A = 30 + 10\ miles[/tex]
[tex]Ship\ A = 40\ miles[/tex]
Can someone pleaseee help
Answer:
Step-by-step explanation:
all you have to do is * 7 by 5 and divide by 2
b/-3 + 4 ^ 13 what is b
Answer: − b / 3 + 67108864
Step-by-step explanation:
Which value is NOT a solution of x^3 + 64 = 0
A line is subdivided according to the golden ratio, with the smaller piece having a length of 8 meters. What is the length of the entire line? Use o 1618
The length of the entire line is meters.
Answer:
the entire length is 202.25 or 203 when rounded to the nearest number.
Step-by-step explanation:
Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?
Answer:22% or 64/289
Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)
8/17 x 8/17 = 64/289
17. Find the surface area of the sphere in terms of pi. 7 yd
Find the surface area of the sphere in terms of π 7 yd.
Solution:-We know,
[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².
Radius (r) = 7 yd (Given)
Now,
Surface area of the sphere = 4 × π × (7)²
Surface area of the sphere = 4 × π × 7 × 7
Surface area of the sphere = 196π sq. yd.
The surface area of the sphere is 196 sq. yd. [Answer]All but one of the following cannot be used internationally
Answer:
I think national flag cannot be used internationallyStep-by-step explanation:
hope it helps youalicias garden is 50 square feet. inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet how much more spaces does she have left in her garden to plant other crops
Answer:
38 square feet. in return please subscribe to Amiredagoat Yt.
Step-by-step explanation:
If 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, Alicia's garden is 50 square feet. inside her garden, she plants a section of tomatoes that is 3 feet by 4 feet
In daily life, area and perimeter are used for a variety of purposes, including determining a home's floor area, a footpath's circumference, a wire fence around a park, etc.
Area of Alicia's garden = 50 square feet
Area of a section of tomatoes that is 3 feet by 4 feet,
A=4 × 3
A=12 sq feet
The spaces she has left in her garden to plant other crops is,
=50 - 12
=38 square feet
Thus, if 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.
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Help ASAP 6x - 3(2 – 3x)
Answer:
First: we expand
6x-(6-9x)
Then we simplify
6x-6+9x
Collect like terms
(6x+9x)-6
Simplify:
15x-6
The answer is 15x-6
An inspector for a military agency desires a variables sampling plan for use with an AQL of 1.5%, assuming that lots are of size 7,000. If the standard deviation of the lot or process is unknown, derive a sampling plan using Procedure 1 from MIL STD 414.
Answer:
use inspection level 4 ( IV ) to perform a normal inspection or tightened inspection to derive a sampling plan procedure from MIL STD 414
Step-by-step explanation:
Having an AQL of 1.55
assuming lots size of 7000
Std = unknown
To derive a sampling plan
use inspection level 4 ( IV ) where the sample size is denoted as M ( i.e. sample size n = 14) which will reciprocate an acceptable quality level of 1.5%. on a normal inspection the value of K will be = 1.4 but if we employ a tightened inspection the value of K will become 1.54 in value
note that : both the normal and tightened inspection can be performed using the same table
6. Which TWO sets of numbers
have a difference of 5?
A. 12 and 7
B. 13 and 6
C. 11 and 8
D. 14 and 9
Answer:
A and D
Step-by-step explanation:
A: 12-7=5
B: 13-6=7
C: 11-8=3
D 14-9=5
Have a Fantastic Day! :D
Using the human species as an example, explain what is meant by a variation of traits.
Answer:
Every gene has many types of gene variants, which are called alleles. These alleles help the body prouperly code different types of variants. Humans have many different traits in their body, and that is how we have so many features. Genes are stored in chromosomes.
Answer:
Human variability, or human variation, is the range of possible values for any characteristic, physical or mental, of human beings. As the human species exhibits sexual dimorphism, many traits show significant variation not just between populations but also between the sexes.
Step-by-step explanation:
I need the answers plsss. I will mark brainiest.
Answer:
number 1 is true
Step-by-step explanation:
What does b equal in the picture below?
Answer:
87
Step-by-step explanation:
just subtract 16 from 103
Can someone help me with this one?
Answer:
well I can see not see the graph so for this the + whatever is the y intercept which means when the line goes through the y axis and with the X find a point that is at the tip of a square then count up or down and if you count up and over it is positive and down and over it negative if i cann the graph I would love to help you.
7 1/8 - 3 5/8 plz help me on this math
Answer:
7/2 or 3 1/2
Step-by-step explanation:
Answer and explainaction please. End of course test is next week and I want to make sure I can work out answers on my own! :)
Answer: This is what I get.
Step-by-step explanation:
What is the volume?
help thanks ( :
Answer:
54 is the volume
Step-by-step explanation:
Multiply 9 * 2 * 3 = 54
Answer:
54
Step-by-step explanation:
...
Submit
IM.MP3.PC.2020-2021
Question: 1-2
Examine the polygons on the coordinate plane.
162
Select the triangle that represents a translation of
GHK.
B В
A
H
D
B
Ο Ο Ο Ο
C С
A
С
Answer:
can you send a picture please
Frederick's salary varies directly with the hours he works. Last week I earned $ 328.30 and worked 33.5 hours. If he works 35 hours this week, what will be his salary from him?
Answer:
His salary will be of $343.
Step-by-step explanation:
Frederick's salary varies directly with the hours he works.
This means that this question can be solved by proportions, using a rule of three.
We have that:
For 33.5 hours, he earned $328.30. How much he earns for 35 hours?
33.5 hours - $328.30
35 hours - $x
Applying cross multiplication:
[tex]33.5x = 328.30*35[/tex]
[tex]x = \frac{328.30*35}{33.5}[/tex]
[tex]x = 343[/tex]
His salary will be of $343.
.Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answer:
1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162
2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18
3. Yes there is a outlier. and i believe it's 82
4. i believe the mean will be 80 but then divided by 5 will be 16
hope this helped :D
Step-by-step explanation:
Please help with this I'm very confused
Answer: C. 5x+6(-x+4)=13
Step-by-step explanation: When you substitute you just put the equation in not the variables.
Options A and D don't give a solution and B includes the variable y.
help!!
a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply
Answer:
[tex](b)\ 2x - 9 = -1[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
Step-by-step explanation:
Required
Which equals [tex]x = 4[/tex]
[tex](a)\ 2x + 6 = 2[/tex]
Collect like terms
[tex]2x = 2 - 6[/tex]
[tex]2x = -4[/tex]
Divide both sides by 2
[tex]x = -2[/tex]
[tex](b)\ 2x - 9 = -1[/tex]
Collect like terms
[tex]2x = -1 + 9[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
Collect like terms
[tex]-2x =- 12 + 4[/tex]
[tex]-2x =-8[/tex]
Divide both sides by -2
[tex]x = 4[/tex]
[tex](d)\ 2(x + 2) = 10[/tex]
Divide both sides by 2
[tex]x + 2 =5[/tex]
Collect like terms
[tex]x = 5-2[/tex]
[tex]x = 3[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
Divide both sides by 2
[tex]x - 10 = -6[/tex]
Collect like terms
[tex]x = 10 - 6[/tex]
[tex]x = 4[/tex]
Hence, the equations with the required solution are:
[tex](b)\ 2x - 9 = -1[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
The cardinal number of {17, 18, 19, 20, ..., 95} is
Answer:
95
Step-by-step explanation:
a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s
name three of the main powers of the executive branch
The executive branch is headed by the president, whose constitutional responsibilities include serving as commander in chief of the armed forces; negotiating treaties; appointing federal judges (including the members of the Supreme Court), ambassadors, and cabinet officials; and acting as head of state.
This will help you.
They:
-Take care that the laws be faithfully executed
-Serve as commander in chief of the armed forces
-Carries out and enforces laws
The President of the United States is the head of the executive branch. It includes the president, vice president, the Cabinet, executive departments, independent agencies, and other boards, commissions, and committees.
Hope I was able to help. :DDD
3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.
Answer:
D) There are two pairs of opposite parallel sides.
Step-by-step explanation:
A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.
Please help
A vector is drawn on a grid
Answer:
.....
..
...
..
Step-by-step explanation:
I cant see the grid
Given that NO ML and ML JK, which postulate or theorem can be used to show that all 3 center triangles in the
Antigua and Barbuda flag are similar?
A. ASA similarity theorem
B. SSS similarity theorem
C. SAS similarity theorem
D. AA similarity postulate
Answer:
A
Step-by-step explanation:
Source:
Trust me bro
The theorem used to prove the three triangles are similar is the ASA similarity theorem. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and the side included between the angles of the second triangle.
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Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.