Answer: 27°
Step-by-step explanation: Here, we're asked to find the missing angle measure in the triangle shown which is represented by the variable x.
To find the value of x, remember that the sum of the
measures of the angles in a triangle is 180°
So we can setup the equation 63 + 90 + x = 180.
Remember that a box indicates a 90° angle.
Now to solve for x, let's first simplify on the left side of the equation.
63 + 90 is 153 so we have 153 + x = 180.
Now to get x by itself, we subtract 153 from both sides of the equation.
On the left side of the equation, 153 - 153 cancels out and we have x
and on the right side of the equation, 180 - 153 is 27.
This means that the missing angle in the triangle is 27°.
directions: solve each equation below and type your answer in the answer column. Type all answers in decimal form
Answer:
11. x = 3.5
12. x = 11.75
13. x = 79.6
14. x = 2.2
15. x = 24.80
16. x = 11.75
17. x = 196.5
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Jeffrey has an aquarium in the shape of a rectangular prism. He is going to place a layer of sand over the base for his iguana. The area of the base of the aquarium can be represented by the expression (42x3−14x2+21x) feet3. If the width of the aquarium is represented by the expression (7x) feet, what is the length of the aquarium?
Answer:
[tex]Length = 6x^2 - 2x + 3[/tex]
Step-by-step explanation:
Given
[tex]Area = 42x^3 - 14x^2 + 21x[/tex]
[tex]Width = 7x[/tex]
Required
Determine the length of the aquarium
The area of a rectangular base is calculated as:
[tex]Area = Length * Width[/tex]
Substitute values for Area and Width
[tex]42x^3 - 14x^2 + 21x = Length * 7x[/tex]
Make Length the subject
[tex]Length = \frac{42x^3 - 14x^2 + 21x}{7x}[/tex]
Factorize the numerator
[tex]Length = \frac{7x(6x^2 - 2x + 3)}{7x}[/tex]
[tex]Length = 6x^2 - 2x + 3[/tex]
convert 10009 out of 17%
Answer:
Step-by-step explanation:
To convert 10,009 to 17%, turn 17% to decimal and multiply that by 10,009 (10,009 * 0.17), which equals 1,701.53
IF you meant to convert the fraction 10,009/17% (read as "10,009 out of 17 percent, ") then simply convert 17% to a decimal (0.17) and divide 10,009 by 0.17 (10,009/0.17) which is about 58,876.47, for full decimal, use a calculator and do 10,009/0.17
The question is kind of confusing so tell me what you meant
There is a quadrilateral with vertices A (-4,0), B (-3, 4), C (2,6), and D (2,3).
Is this a parallelogram?
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour.
Answer:
12 2/3 KMPH
Step-by-step explanation:
3 1/6 x 4 (reciprical of 1/4) = 12 2/3
i dont know this help me
It’s due late tonight can some pls help me pass
One number is seven more than six times another number. If the sum of the numbers is 21, find the numbers
Answer:the two numbers are 2 and 19
Step-by-step explanation:
Let one of the numbers be x
and the second be 7+ 6x
so that the sum of the two numbers which totals 21 be expressed as
x + (7+ 6x) = 21
x+ 7+6x= 21
7 + 7x = 21
7x= 14
x= 14/7 = 2
one of the numbers = 2
the other number given as
7+ 6x = 7+ 6 x 2= 7+12= 19
The numbers are 2 and 19 .
The numbers as described in the question are; 2 and 19
Solving word problemsFrom the given problem statements;
The first number = y
The second number = x
Hence, y = (7 + 6x)
Their sum is therefore;
x + 7 = 6x = 217x = 14x = 2Hence, the second number is; 7 + 6x = 7 + 6(2);
y = 19Read more on word problems;
https://brainly.com/question/21405634
The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =
Given the position function
s(t) = 3 - cos(t )
differentiate once to get the velocity, and twice to get the acceleration:
v(t) = s'(t) = sin(t ) → v (4.3 s) ≈ -0.92
a(t) = s''(t) = v'(t) = cos(t ) → a (4.3 s) ≈ -0.40
The acceleration is negative, so the particle is slowing down.
Mike bakes 24 cookies for some friends. He gives the same number of cookies to 2 friends. How many cookies c does each friend receive? Write an equation to represent the number of cookies each friend receives.
Answer:
12 cookies for both friends (assuming you don't get any)
Step-by-step explanation:
24/2=12
since you seem like a kid, that slash means divided by
Shannon drank 1/5 cup of milk
and 3/4 cup of water. How much
did she drink altogether?
Answer
Answer:
does it have to be simpilfied? if not: 19/20
Step-by-step explanation:
Wheel I has diameter 24.9 in. Wheel II has diameter 21.0 in. Round the diameter of each wheel to the nearest inch. About how much farther will Wheel I travel in one rotation? Use 3.14 for π.
Answer:
76
Step-by-step explanation:
because the other guy said so
12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3
Anyone knows this one
Answer:
10 over 11
Step-by-step explanation:
Y2 minus Y1 over X2 minus X1
Answer:
10/11 or 10 over 11 rise
Step-by-step explanation:
Slope formula: (y2 - y1) / (x2 - x1)
(-20 - 0) / (-14 - 8)
(-20) / (-22)
= 10/11
What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7
Answer:
cot∠B = 7/24
General Formulas and Concepts:
Math
SimplifyingTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over oppositeStep-by-step explanation:
Step 1: Define
Angle θ = ∠B
Adjacent Leg = 7
Opposite Leg = 24
Step 2: Find
Substitute in variables [cotangent]: cot∠B = 7/24I need help with math
Answer:
6:3
Step-by-step explanation:
PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM
Answer: It's given in the equations.
Step-by-step explanation:
First One
f(x) = -2^x
Second
f(x) = -4(2)^x
Third
f(x) = 4(2)^x
Fourth
f(x) = 2^x
Determine whether the following statement is true or false. If the statement is
false, make the necessary change(s) to produce a true statement.
WEC
Breakdown of Catholic Americans
by Party Affiliation and Gender
572 Democrats
294 Men
278 Women
1400 Catholic
Americans per 441 Republicans
235 Men
10,000 Adults
206 Women
1387 Independents <199 Men
188 Women
Let
c = the set of Catholic Americans
R = the set of Catholic Republicans
D = the set of Catholic Democrats
M = the set of Catholic Democratic men
W = the set of Catholic Democratic women
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice, including any necessary set names.
O A. The statement is true.
OB. The statement is false. It should be changed to
Answer:
Step-by-step explanation:
No entendí °-°
How much water is in a empty glass that is 10 centimeters high and has a diameter of 5 cm
the cost of New York Yankees baseball cap is 24.00. The local sporting goods store sells it for $30.00. markup rate
what is the square root of 36
Answer:
6 !
Step-by-step explanation:
since 6 x 6 = 36, the square root is 6 !
square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!
im not sure if that makes any sense, but i hope it helps !!
30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf
Answer:
15
Step-by-step explanation:
50 x .3
Answer:15
Step-by-step explanation:
Mark monitors the growth of a colony of bacteria in his biology lab. He begins with a colony of 100 bacteria. After 24 hours, the colony has grown to 305
bacteria. After 24 more hours, the colony consists of 897 bacteria. What is a reasonable estimate of how many bacteria he can expect to count in the colony
when he returns 24 hours later?
Answer:
After next 24 hours, bacterial population would be [tex]1433[/tex]
Step-by-step explanation:
The initial bacterial count at time = 0 was [tex]100[/tex]
At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]
At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]
As we know that
[tex]P = P_0 * e^{rt}[/tex]
The growth rate of bacterial population is equal to
[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]
Substituting the above values we get -
[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]
Count of bacteria after next 24 hours
[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]
What property do rectangles and parallelograms always share?
4 right angles
4 sides of equal length
2 pairs of parallel sides
2 acute angles
Answer:
the answer is
2 pairs of parallel sides
I hope this helps!
2ab( 4a2 + 3ab - 7b2)
Answer:
6ab + -3a2
Step-by-step explanation:
2ab(4a2 + 3ab - 7b2) original problem
2ab(3ab + 4a2 - 7b2) commutative property
2ab(3ab + -3a2) subtract
4 - 7 = -3
6ab + - 3a2 mulitiply
2ab x 3ab = 6ab
and that is you final expression, you can't add the last 2 numbers cause they are not like terms.
Answer:
1.8ab²
2.7xy⁶
3.7x²
4.8x²+4
5.43y⁵+21
Step-by-step explanation:
yan palang po ung nasagutan ko hindi ko pa po alam kung tama pero yan na ung solution : )
What is the ratio of raisins to peanuts represented by this table
Cups of peanuts 1 2 3
Cups of raisins 2 4 6
Answer:
cups of peanuts 6
cups of raisins 12
cups of peanuts : cost of raisins
6:10
what is 900 * 158000
Answer:
142,200,000
Step-by-step explanation:
Used Calculator
Answer:
142200000
Step-by-step explanation:
It's a really long answer
Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
2nd time asking! I need answer please.
Answer:
33.49 cubic centimeters
Step-by-step explanation:
Equation for volume: 4/3*π*r^3
Substitute 2 for r and 3.14 for π
4/3*3.14*2^3
To the nearest hundredth is 33.49
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answer:
1,-2 | -2,7 ????
Step-by-step explanation: