A man travels at 42 degrees northwest, and ends up 8.5 miles west of his starting point. How far did he travel?
Answer:
The man traveled 12.70 miles.
Step-by-step explanation:
We can find the distance traveled by the man knowing:
[tex]d_{W}[/tex]: the distance at the west = 8.5 miles
[tex]\theta_{NW}[/tex]: the northwest angle = 42°
Then by using the following trigonometric identity we have:
[tex] sin(\theta) = \frac{d_{W}}{d_{NW}} [/tex]
[tex] d_{NW} = \frac{d_{W}}{sin(\theta)} = \frac{8.5 miles}{sin(42)} = 12.70 miles [/tex]
Therefore, the man traveled 12.70 miles.
I hope it helps you!
he side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube
Answer:
V=(3x+2y)^3
Step-by-step explanation:
V=s^3
s=3x+2y
Substitute
V=(3x+2y)^3
write this number in scientific notation 56,700,000
Answer:5.67* 10^7
Step-by-step explanation:
Keith decided to do pushups everyday as part of his exercise routine. He started to do 10 pushups today and he will be adding 3 additional counts for each day that his exercise continues. How many pushups will Keith do if he is exactly on his 3rd week of his exercise routine?
Answer:
55 push ups
Step-by-step explanation:
Given that:
Starting count = 10
Additional count = 3
Starting count + (additional count * number of days)
Exactly on the 3rd week = on the 15th day
10 + (3 * 15)
10 + 45
= 55 push ups
What are the solution(s) to the absolute value equation below?
Answer:
C
Step-by-step explanation:
Given
5| x - 7 | + 4 = 4 ( subtract 4 from both sides )
5 | x - 7 | = 0 ( divide both sides by 5 )
| x - 7 | = 0, thus
x - 7 = 0 ( add 7 to both sides )
x = 7 ← is the only solution → C
In triangle def the measure of angle F=90 degrees fe=21 df=20cand ed=29 what is the cosine of angle e to nearest hundredth
Answer:
four angles at point B in this second diagram.
Step-by-step explanation:
Write an equation of the line below.
Answer:
y=1/2x+4
Step-by-step explanation:
Refer to the picture that given :)
Ok i figured out the other question with some help but this one is actually confusing to me
I need help writing the expressions
Answer:
Company a= 15x+10y+25z+75
Company b=20x+10y+30z+60
Step-by-step explanation:
A biology class examined some flowers in a local meadow. They saw 60 flowers, of which 25% were perennials. How many perennial flowers did the students see?
Answer:
Step-by-step explanation:
first do 60 divided by 4 because we know 25 percent is equal to 1/4
so the answer would be 15
Which is greater, 4 4/10 or 32/10? Explain how u know.
Answer:
4 4/10
Step-by-step explanation:
Well, 32/10 would by 3 2/10 when you divide it, I think. So 4 4/10 is greater.
Fractions may be equal or unequal.
[tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]
The fractions are given as:
[tex]\mathbf{F_1 = 4\frac{4}{10}}[/tex]
[tex]\mathbf{F_2 = \frac{32}{10}}[/tex]
Express the fractions as improper fractions
[tex]\mathbf{F_1 = \frac{44}{10}}[/tex]
Both fractions have the same denominator.
So, the fraction with a greater numerator is greater.
By comparison: 44 is greater than 32
i.e. 44 > 32
Hence, [tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]
Read more about fractions at:
https://brainly.com/question/20335146
10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)
9514 1404 393
Answer:
area = x(3x +10)
Step-by-step explanation:
The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.
horizontal unmarked = (2x+15) -x = x +15
vertical unmarked = (2x -5) -(x -5) = x
The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.
The whole area is ...
x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)
What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.
A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.
Answer:
A triangle has three congruent sides
Step-by-step explanation:
100% .
There are 40 teachers that work in a school. On
Friday, 26 teachers were present. What percent
of the teachers showed up for work?
Answer:
65% sorry if it isn't right
-5.8 C +4.2 subtract 3.1+1.4 C
Answer:
-4.4C+1.1
Step-by-step explanation:
-5.8C+4.2-3.1+1.4C
Add the variables
-5.8C+1.4C
-4.4C
-4.4C+4.2-3.1
Subtract the numbers
4.2-3.1
1.1
-4.4C+1.1
A cuboid with a volume of 374 cm'has dimensions
2 cm, (x + 3) cm and (x + 9) cm.
Show clearly that x2 + 12x - 160 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
WILL MARK BRAINLIEASTT
Answer:
(x+3)(x+9)=x²+12x+27
2x²+24x+54=374
2x²+24x-320=0
x²+12x-160=0
x=-20 x=8
2cm,(-20+3)cm,(-20+9)cm
L=2cm W=-17cm H=-11
Step-by-step explanation:
Expand (x+3) and (x+9) -----> x^2+12x+27
Multiply the answer by two 2x^2+24x+54
Move 374 to the side by taking away ----->54-374=320
Divide the whole equation by 2 ---> x^2+12x-160
Factorise
The Width of cuboid is 11cm and Height of cuboid is 17 cm
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax²+ bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are often expressed as integral values rather than fractions or decimals.
Given:
Volume of Cuboid= 374
length= 2cm
width= x+ 3
height= x+ 9
Now, Volume of cuboid= length x width x height
2(x+3)(x+9)=374
2(x² + 12x +27)= 374
x² + 12x +27 = 187
x² + 12x -160=0
Now, factorizing
x² + 20x -8x-160=0
x( x+20) -8(x+ 20)=0
(x+ 20)(x - 8)=0
x= 8 and x= - 20
As. the dimensions cannot be negative.
So, Width= x+3 = 8+3 = 11cm
Height= x+9 = 3+9 = 17 cm
Learn more about quadratic equation here:
https://brainly.com/question/17177510
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The product of 5 and a number x is 1/4 What is the value of x?
x=19/4
x=1/20
x =5/4
x =4 3/4
Answer:
x=19/4
Step-by-step explanation:
The product of 5 and a number x is 1/4
I was constructing towers as you see below. I noticed that each
time I made the tower higher, I had to add more blocks on the
sides to stabilize the structure. I would like to know how many
cubes I will need to build a 5-block high tower and a 10-block
high tower. Generalize, if you can, on how many blocks I will
need for any size tower?
Answer:
is there an equation for this or simple math?
Answer:
5 Blocks=4 blocks (on sides) 10 Blocks=9 blocks (on sides)
Step-by-step explanation:
You subtract one set of blocks (on sides) each time. That's it! Hope this helps!
Plzz help e for brainliest if 2 people answer
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
what does d/dx (-8x - 643)=
simplify (4/5-2). ignore this it has to be 20 characters to work
Answer:
-1.2
Step-by-step explanation:
72 persons have enough food for 7 days . but after one day they decided to finish the food in 3 remaining days . For if they invited more persons how many persons did they invite?
Answer:
We have been given that
72 persons has enough food for 7days.
After 1 day they decided to finish the food in remaining 3 days.
We need to find number of invitees to finish the food.
After one day there are 72 people and they have food for 6 days.
If people are changed n times, time will change to (1/n) of initial time.
\frac{1}{n}\times 6\ =\ 3n1×6 = 3
Therefore n = 2
Total number of people needed = n × 72
Total number of people needed = 72×2
Total number of people needed = 144
Hence the number of invitees = 144 - 72 =72
72 people are invited to finish the food in 3 days
Write the equation of a line parallel to y=2x+7 that passes through the point (-4, 5)
Evaluate the expression "12 - (-36) / -6"
Answer:
ah bbhgggvgujjbgg
hhhjj
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
Which of the following is a second degree trinomial? 3x + 8 -4x2 - 6x + 7 6x4 + 4x2 - 7 5x2 + 10
Answer:
the first one
Step-by-step explanation:
because it is
Given (x – 7)2 = 36, select the values of x.
Answer:
x=1
Step-by-step explanation:
(x-7)²=36
x-7=±6
either x-7=6,x=6+7=13
or x-7=-6,x=-6+7=1
Answer: x = 1 and x = 13. It's both.
Step-by-step explanation:
Whats 5000+35548-455x4534+38534x233=?
Answer:
6,956,000
Do all the operations in order by following the PEMDAS method.
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
Acute not equiangular
Step-by-step explanation:
The angles are all below 90 degrees and are not all the same.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 1) and (1, 0). Everything to the left of the line is shaded. The solutions to the inequality y ≤ −x + 1 are shaded on the graph.
Which point is a solution?
(2, 3)
(3, –2)
(2, 1)
(–1, 3)
Answer:
B
Step-by-step explanation:
The equation is
y<=-x+1.
We test all and figure that B is correct.
-2<=-3+1
-2<=-2.
Correct!
So the answer is B
Hope this helps ;D
Answer:
Step-by-step explanation:
the answer is bee