Answer:
Acquired or somatic mutations occur at some time during a person's life and are present only in certain cells, not in every cell in the body. These changes can be caused by environmental factors such as ultraviolet radiation from the sun, or can occur if an error is made as DNA copies itself during cell division.
If cos 0 = 3/5
and angle 0 is in Quadrant IV, what is the value of tan 0 ?
Tan =
Answer:
-4/3.
Step-by-step explanation:
cos O = 3/5
Using Pythagoras to find the length of the side opposite the angle O:
As the cos of O is adjacent/ hypotenuse, Hypotenuse = 5 , adjacent side = 3 so
opposite side. = sqrt(5^2 - 3^2) = sqrt 16
= 4.
Now the tangent is negative in Q IV so
tan O = opposite / adjacent side = -4/3
find the value of x
solve for x
Answer:
20°Step-by-step explanation:
This is equilateral triangle as all sides are equal.
All the internal angles are equal to 60°.
3x = 60°x = 60°/3x = 20°Answer:
20 degrees
Have a good day!
The graph shows the temperature y in a freezer x minutes after it was turned on. Five minutes after
being turned on, the temperature was actually four degrees from what the trend line shows. What
values could the actual temperature be after the freezer was on for five minutes?
Click the icon to view the graph of the freezer temperature versus time.
Select all that apply.
DA. 0°F.
OB. 32°F
C. 25°F
OD. 18°F
E. 21°F
OF. 29°F
Click to select your answer(s).
Question 7
of 8
Review progress
Back
Next →
Answer:29
Step-by-step explanation:
Classify the triangle with the following sides: 7, 10, 12
Answer:
scalene triangle i guess the spelling is wrong
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
This is the correct spelling lol
solve for x 4x - 3 = 6x + 2 ?
Answer:
x = -5/2
Step-by-step explanation:
can you help me please
Answer:
GFKSKKGKKSFG
Step-by-step explanation:
-6x+y=4
-y-2x=4
Please Solve these in
Y=mx+b form! I’m stuck...
Which statement best describes the area of Triangle ABC shown below?
А
с
00
(5 points)
O It is twice the area of a square of side length 4 units.
O It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle with sides 4 units x 3 units.
It is one-half the area of a rectangle with sides 4 units x 3 units.
Answer:
Would be the 3rd one I believe
Step-by-step explanation:
The statement that is true is:
It is one-half the area of a rectangle with sides of 4 units x 3 units is true.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The area of the triangle.
= 1/2 x base x height
Now,
Base = 4 units
Heights = 3 units
So,
Area = 1/2 x 4 x 3 = 6 units²
Now,
It is twice the area of a square of the side length of 4 units.
6 units² < 16 units²
This is not true.
It is one-half the area of a square of side length 4 units.
1/2 x 16 units² = 6 units²
8 units² = 6 units²
This is not true.
It is twice the area of a rectangle with sides 4 units x 3 units.
2 x 12 units² = 6 units²
24 units² = 6 units²
This is not true.
It is one-half the area of a rectangle with sides 4 units x 3 units.
1/2 x (4 x 3) units² = 6 units²
6 units² = 6 units²
This is true.
Thus,
It is one-half the area of a rectangle with sides of 4 units x 3 units is true.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
Write an equation of a line that passes through the point (1, 2) and is perpendicular to the line y=-1/4x+2
Answer:
y = 4x - 2 would be the equation
you go to the park on a windy day to fly a kite. You have released 40 ft of string. The strings make it angle of 36 degrees with the ground. How high is the kite in the air
For his mother's birthday, Paulo wants to enlarge a 3- by 5-inch photo to an 18- by 30- inch photo. what is the scale factor of the dilation?
Answer:
6
Step-by-step explanation:
It is a 6 inch scale factor because if you multiply 5x6 you would get 30 and if you multiply 3x6 you would get 18 so 6 is the answer.
***HURRY IM TAKING A TIMED TEST***
*** WILL MARK BRAINLEST***
Given f(x) = -5x + 4 and g(x) = x^4, choose the expression for (fºg)(x).
Answer:
f(x^4)=-5x^4+4
Step-by-step explanation:
Set up the composite function and evaluate.
Roberto is 14 years older than Tre. Five years ago, the sum of their ages was 28. How old are they now?
Answer: Roberto is 26 years old and Tre is 12 years old.
Step-by-step explanation:
Let T=age of Tre
14+T=age of Roberto
14+T+T=28
14+2T=28
2T=14
T=7(Tre’s age 5 years ago)
14+T=14+7=21(Roberto’s age 5 years ago))
7+5=12 years old
21+5=26 years old
To check:
26-12=14
So Roberto is 14 years older.
Can someone help me with this ?
Answer:
remember powers is like multiplying that number by itself 3x3x3x3x3x3x3x3x3x3x3 ÷ 3x3x3x3
the second problem 3x3x3 × 3
(If that helps
Work out m and c for the line:
y = X – 2
The number of donuts produced by a machine is directly proportional to the time the machine runs . The machine produces 380 donuts in 20 minutes . How many donuts can the machine produce after running for 45 minutes?
Answer:
855 donuts
Step-by-step explanation:
380/20 = 19 donuts per minute
19 × 45 = 855
plesae help with this question i will give brainliest to the person with all the answers
Answer:
A, D, E
Step-by-step explanation:
Substitute the x and y values into the equation. If the result does not equal 24, then that coordinate point is not on the graph of 3x+2y=24.
help pls all questions are in the photo
will give brainliest
My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can I choose?
Answer:
48048
Step-by-step explanation:
Total number of players = 16
Selection to be made :
1 goalie ; 10 players
Hence ;
Choosing 1 goalie from 16 players :
16C1
Choosing 10 players from the remaining (16 - 1), 15 players
15C10
Hence,
16C1 * 15C10
16 * 3003
= 48048
if a person making $47,000 receives a 3% raise, how much money do they make now?
Answer:its 5
Step-by-step explanation:
d
Answer:
$48,410
Step-by-step explanation:
47,000 + 3% = 48,410
Which answer choice gives the correct surface area
for a triangular prism with bases that are 4 cm2 and
sides that are 4 cm2?
A. 20 cm2
B. 8 cm2
C. 26 cm2
O D. 6 cm2
SUBMIT
The surface area of the triangular prism with bases that are 4 cm and sides that are 4 cm is 192 cm²
Surface areaBase = 4 cmHeight = 4 cmSurface area of a triangular prism = 12 × base × height
= 12 × 4 cm × 4 cm
= 192 cm²
Learn more about triangular prism:
https://brainly.com/question/23178481
#SPJ1
what can we say about the given figure?
Answer:
It's a parallelogram, angles B and D, and A and C are congruent, lines AB and DC, and BC and AD are congruent.
Step-by-step explanation:
i need help! i’ll give brainliest
Answer:
>
Step-by-step explanation:
Answer:
You would use >
Step-by-step explanation:
-1/4 is greater. When you divide -1/4 you get -0.25. In negatives, the number that's the CLOSEST to 0 is greater. Since -0.25 is closer to 0 than -0.42, the answer is that -1/4 is GREATER than -0.42.
Hope this helps!
In ΔEFG, g = 4.3 cm, e = 9.1 cm and ∠F=116°. Find the length of f, to the nearest 10th of a centimeter.
Answer:
11.6
Step-by-step explanation:
The length of f of the triangle is f = 11.7 cm
What is Law of Cosines?The Law of Cosines is a mathematical formula used to find an unknown side or angle of a triangle, given the lengths of the other two sides and the angle opposite the unknown side. It is also known as the Cosine Rule.
The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite side c, the following equation is true:
c² = a² + b² - 2ab cos(C)
where cos(C) is the cosine of angle C. This formula can be rearranged to solve for any of the variables, depending on which values are known.
Given data ,
Let the triangle be represented as ΔEFG
And , the measures of the sides of the triangle are
g = 4.3 cm
e = 9.1 cm
And , measure of angle ∠F = 116°
where c² = a² + b² - 2ab cos(C)
On simplifying , we get
a² = c² - b² + 2abcos ( C )
78.26 ( cos 116° ) - 4.3² - 9.1² = f²
f² = 135.7344
Taking square roots on both sides , we get
f = 11.7 cm
Hence , the length is f = 11.7 cm
To learn more about law of cosines click :
https://brainly.com/question/30766161
#SPJ2
Workers at a quarry are removing rock at a daily rate of 0.1%. There are 3.2 tons of rock when the work begins.
Which function can be used to find the number of tons of rock left at the end of d days?
A.m(d) = 3.2(0.999)^d
B.m(d) = 3.2(0.99)^d
C.m(d) = 3.2(1.01)^d
D.m(d) = 3.2(1.001)^d
Answer:c
Step-by-step explanation:
Answer:
The Answer is m(d) = 3.2(0.999)^d
Step-by-step explanation:
1 5/2 as a whole number
Answer:
3 1/2
Step-by-step explanation:
how do you divide (n^2-n-29)/(n-6) ??
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Polynomial long division is done the way any long division is done. Find a "partial quotient", subtract from the dividend the product of that partial quotient and the divisor. The result is a new dividend. Repeat until the degree of the dividend is less than that of the divisor.
__
In the attached, the "Hints" show you how the partial quotient is found, and they show you how the product of the partial quotient and divisor is found.
The partial quotient term is simply the ratio of the highest degree terms of dividend and divisor. (Unlike numerical long division, there is no guessing.)
__
The remainder is the dividend of lower degree than the divisor. As in numerical long division, the full quotient expresses the remainder over the divisor.
For example, 5 ÷ 3 = 1 r 2 = 1 + 2/3.
Your full quotient is (n+5) +1/(n-6).
How do you find the perimeter of any closed figure?
Answer:
add the lengths of each side of the shape. If there are units, include units in your final result.
Step-by-step explanation:
add the lengths of each side of the shape. If there are units, include units in your final result.
Answer:
add up all of the sides. hope this helps!
Step-by-step explanation:
Perimeter is a one-dimensional measurement that represents the distance around a closed geometric figure or shape (no gaps). To find perimeter, add the lengths of each side of the shape. If there are units, include units in your final result.
Change the following to pounds:
a) 10 kg
b) 25 kg
What is 10kg as punds
Answer:
22.046 lbs
Step-by-step explanation:
10kg is rounded to 22 pounds
Answer:
a) 10 kg = 22.046 lb
b)25 kg = 55.116 lb
Step-by-step explanation:
all you need to do to convert is to multiply the number of kilograms by 2.2 to get the number of pounds
A rental car company charges $21.45 per day to rent a car and $0.09 for every
mile driven. Aaliyah wants to rent a car, knowing that:
• She plans to drive 475 miles.
. She has at most $150 to spend.
Use the drop-down menu below to write an inequality representing d, the
total number of days Aaliyah can rent the car while staying within her budget.