Fill in the blank. In the triangle below, x = ___. Round your answer to two
decimal places.
Answers
Answer:
x ≈ 37.53
Step-by-step explanation:
To find the value of x, we will follow the steps below:
first, we need to find angle z
z+47° +90° = 180° (sum of interior angle of a triangle)
z + 137° = 180°
subtract 137° from both-side of the equation
Z + 137°-137° = 180° - 137°
Z=43°
angle Z = 43°
We can now use the sine rule to find the value of x
Using the sine rule
[tex]\frac{sin Z}{z} = \frac{sin X}{x}[/tex]
where Z and X are angles and z and x are side length
from the diagram given,
X = 47° and we find Z to be 43°
side z = 35
we can now proceed to substitute the values into the formula
[tex]\frac{sin 43}{35}[/tex] = [tex]\frac{sin 47}{x}[/tex]
cross-multiply
x sin 43° = 35 sin 47°
divide both-side of the equation by sin 43°
x sin 43° /sin 43°= 35 sin 47° /sin 43°
x ≈ 37.53 to two decimal place
The correct answer is 37.53
Related Questions
I need help with this problem! Please Help
t=-2.74 + sqrt(2.74^(2)-4*-4.9*(-10)) -: 2*-4.9
Answers
Answer:
Step-by-step explanation:
t=(-2.74 + sqrt(2.74^(2)-4*-4.9*(-10))) / -2*-4.9
t=(-2.74 + sqrt(7.5076-4*+49))/9.8
t=(-2.74 + sqrt(7.5076+45))/9.8
t=(-2.74 + sqrt(52.5076))/9.8
t=(-2.74/9.8)+(sqrt(52.5076))/9.8
this is simplest form, next will be rounded answers
t=0.45981763305
Answer:
no real solutions
see below
Step-by-step explanation:
It looks like a quadratic formula
t= -2.74 + sqrt(2.74^(2)-4*-4.9*(-10)) -: 2*-4.9
[tex]t = \frac{-2.74 +\sqrt{2.74^2 - 4*(-4.9)*(-10)} }{2*(-4.9)}[/tex]
[tex]t = \frac{-2.74 + \sqrt{7.5076 -196} }{-9.8} = \frac{-2.74 + \sqrt{-188.4924} }{-9.8}[/tex]
[tex]t = \frac{-2.74 + 13.73i}{-9.8 }[/tex]
i = [tex]\sqrt{-1}[/tex]
The standard form of the equation of a parabola is y-2x2 - 8x-13. What is the vertex form of the equation?
A. y=-2(x-2)2 -13
B. y=-2(x+2)2 -5
C. y= -2(x+2)2 -13
D. y= -2(x-2)2 -5
Answers
Answer:
B
Step-by-step explanation:
When we graph the equations, only B fits
what is the recursive formula for this geometric sequence 2, -10, 50, -250
Answers
Answer:
[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]
Step-by-step explanation:
Given
Geometric sequence: 2, -10, 50, -250
Required
Recursive formula of the sequence
We start by naming each sequence
[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]
Represent each term in relation to the previous term (except T1)
[tex]T_1 = 2\\T_2 =2 * -5\\T_3 = -10 * -5\\T_4 = 50 * -5[/tex]
Recall that
[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]
So, at this point; we have to make substitutions
[tex]T_1 = 2\\T_2 =T_1 * -5\\T_3 = T_2 * -5\\T_4 = T_3 * -5[/tex]
Subtract 1 from each term on the right hand side
[tex]T_1 = 2\\T_2 =T_{2-1} * -5\\T_3 = T_{3-1} * -5\\T_4 = T_{4-1} * -5[/tex]
Replace each term greater than 1 by n
[tex]T_1 = 2\\T_n =T_{n-1} * -5\\T_n = T_{n-1} * -5\\T_n = T_{n-1} * -5[/tex]
Remove repetition
[tex]T_1 = 2\\T_n =T_{n-1} * -5[/tex]
[tex]T_1 = 2\\T_n =-5T_{n-1}[/tex]
Hence, the recursive formula is
[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]
Help would be much appreciated
Answers
Answer:
Given
Step-by-step explanation:
Question 1)
Answer is c) 12.94 units
Because,
The sides will be √20,√20 and 4 units, so you add them
You get √20 through Pythagorean theorem √(2^2 + 4^2)
= 4.47
Question 2)
Answer:
3x^2 + 4y^0 +x^-1
Substitute the values,
3*(4)^2 + 4*(5)^0 + (4)^-1
3*16 + 4*1 * 1/4
( Any number raised to 0 is 1
4^-1 = 1/4^1 )
= 49
Answer:
Option C
49
Step-by-step explanation:
sides of triangle:
4√2²+4²=√20=4.47√2²+4²=√20=4.47P=4+4.47*2=12.94
Option C is correct
================
x=4, y=5
3x²+4y⁰×x⁻¹=3×4²+4×5⁰×4⁻¹=48+1=49
PLEASE HELP LOOK AT THE PHOTO I GAVE YOU PLEASE D:
Answers
1. Less than
2. Greater than
3. Greater than
Explanation:
1. 2/12+3/12 = 5/12<6/12
2. 4/12+3/12+2/12= 9/12>6/12
3. 3/12+1/12+1/12+4/12=9/12>6/12
• 2/12 + 3/12 < 6/12
• 4/12 + 3/12 + 2/12 > 6/12
• 3/12 + 1/12 + 1/12 + 4/12 > 6/12
Explanation:
• Question One
Add the fractions together
2/12 + 3/12 = 5/12
Determine which fraction is greater than, less than, or equal to the other
5/12 ? 6/12
5/12 < 6/12
Therefore, 2/12 + 3/12 is less than 6/12.
• Question Two
Add the fractions together
4/12 + 3/12 + 2/12 = 9/12
Determine which fraction is greater than, less than, or equal to the other
9/12 ? 6/12
9/12 > 6/12
Therefore, 4/12 + 3/12 + 2/12 is greater than 6/12.
• Question Three
Add the fractions together
3/12 + 1/12 + 1/12 + 4/12 = 9/12
Determine which fraction is greater than, less than, or equal to the other
9/12 ? 6/12
9/12 > 6/12
Therefore, 3/12 + 1/12 + 1/12 + 4/12 is greater than 6/12.
If y = 2x - 3 , what is the value of x
when y = 1?
A-1
B 1
© - 2
D 2
Answers
Explanation:
1=2x-3
4=2x
2=x
Answer:
D. 2
Step-by-step explanation:
We know that y=2x-3. We want to find out what the value of x is when y=1. Therefore, we can substitute 1 in for y in the equation.
Equation: y=2x-3
Substitute 1 in for y: 1=2x-3
Now, solve for x.
1=2x-3
3 is being subtracted from 2x. The inverse of subtraction is addition. Add 2 to both sides.
1+3=2x-3+3
1+3=2x
4=2x
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.
4/2=2x/2
4/2=x
2=x
The correct answer is D. 2
Part A
Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
A. c + 64 ≤ 120; c ≤ 56
B. c + 120 ≤ 64; c ≤ –56
C. c + 64 ≥ 120; c ≥ 56
D. c + 120 ≥ 64; c ≥ –56
Part B
Choose the graph of the solution on the number line.
Answers
Answer:
Part A: A
Part B: A
Step-by-step explanation:
1)
the inequality should be less than or equal to, since we need to find how many are left
now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few
thus, the answer is A
2)
A again is correct, since it represents:c ≤ 56
B represents c ≥ 56
C represents c ≤ –56
D represents c ≥ -56
please help, i need to raise my grade
solve for v
Answers
Answer:
2(s-c)/ a^2 = v
Step-by-step explanation:
s = 1/2 a^2 v+c
Subtract c from each side
s -c = 1/2 a^2 v+c-c
s-c = 1/2 a^2 v
Multiply each side by 2
2(s-c) = 2* 1/2 a^2 v
2(s-c) = a^2 v
Divide each side by a^2
2(s-c)/ a^2 = a^2 v /a^2
2(s-c)/ a^2 = v
The multiplicative inverse of (-4)⁻² is (4)⁻². True False
Answers
Answer: false
Step-by-step explanation:
The exponents would have to have a different sign from each other (positive or negative), not the integer.
0.2 ✕ -0.5 ✕ ( -0.9- -0.7)
Answers
Answer:
0.02
Step-by-step explanation:
[tex]0.2\times -0.5\times (-0.9 - -0.7)= \\\\0.2\times -0.5 \times (-0.2)= \\\\0.02[/tex]
Hope this helps!
0.02
[tex]solution \\ 0.2 \times \: - 0.5 \times ( - 0.9 - ( - 0.7)) \\ = 0.2 \times ( - 0.5) \times ( - 0.9 + 0.7) \\ = 0.2 \times( - 0.5) \times ( - 0.2) \\ = - 0.1 \times ( - 0.2) \\ = 0.02[/tex]
hope this helps..
Good luck on your assignment
Which statements correctly describe the fraction bar diagram shown at left? Check all that apply.
A fraction bar labeled 1 whole divided into 7 parts. 1 part is shaded.
The unshaded portion of the fraction bar represents a unit fraction.
.Each part of the whole fraction bar is equal to one-seventh.
.The shaded portion of the fraction bar represents a unit fraction.
.The shaded portion of the fraction bar represents .
.Each part represents a unit fraction.
Answers
Answer:
B. Each part of the whole fraction bar is equal to one-seventh.
C. The shaded portion of the fraction bar represents a unit fraction.
E. Each part represents a unit fraction.
Step-by-step explanation:
The answer is B because, there are 7 parts to the diagram, which means each part is equal to 1/7. So each part is a unit fraction, and 1/7 can represent the shaded part, and since it is a unit fraction, C. can also apply.
Hope this helps! Have a great day!
(Make sure to stream Mic Drop, Boy With Luv, Blood Sweat & Tears, Black Swan, On, and etc.! [BTS songs])
Answer:
B
Step-by-step explanation:
Whole fraction is 7/7
Each part of the whole fraction = 1/7
Find the distance between two points (2,-3)and (2-,4). what is the answer?
Answers
Answer: 1 squealer apart if on a square grid
Step-by-step explanation:
Answer:
The distance is 1
Step-by-step explanation:
Since the x coordinates are the same, we only need to look at the y coordinates
-3 - -4
-3 +4
1
PLEASE HELPPPPP MEEEE!!
Answers
Answer:
1. 2^6 x 2^4= 2^10
2. 5^3 x 5^8= 5^11
3. c^7 x c^2= c^9
4. r^2 x r= r^3
Answer: 1. 1,024. 2. 148,828,125. 6. 1. 7. 1.
Step-by-step explanation:
1. 2 x 2 x 2 x 2 x 2 x 2 = 64.
2 x 2 x 2 x 2 = 16.
64 x 16
1,024.
2. 5 x 5 x 5 = 125.
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625.
125 x 390,625
48,828,125.
6. c x c x c x c x c x c x c = 1.
c x c = 1.
1 x 1
1.
7. r x r = 1.
r = 1.
r x r = 1.
There was 1/5 of a gallon of lemonade in the refrigerator. Kelly poured equal amounts into 4 cups . How much lemonade was in each cup ?
Answers
Answer:
1/20 gallon per cup
Step-by-step explanation:
20 cm
8 cm
8 cm
20 cm
15 cm
Find the area of the arrow above.
(?] square centimeters
Enter
Answers
Answer:
610 cm²
Step-by-step explanation:
This is an irregular figure. We can split it up by the triangle and the rectangle on the bottom.
To find the area of the triangle, we must determine the base length. As we can see, the bottom of the arrow has the measure 15 cm, and you can see that the missing section in the base of the triangle is the same measure. Now we find the measure of the base by adding 15 + 8 + 8, which equals 31 cm.
Now we multiply and divide by 2 to find the area of the triangle:
20*31 * 1/2
= 310 cm²
Now, we find the area of the rectangle. We can see that its dimensions are 15 by 20. We can plug these values into the rectangle formula:
A = 15*20
A = 300 cm²
Now we add these values to find the total area:
310 cm² + 300 cm²
= 610 cm²
666.6 to nearest integer
Answers
Answer:Redondeo al entero más cercano, ejemplos. Denotemos por ρ a la función de un argumento real que lo redondea un número real más cercano: ρ(7.394) = 8,.
Step-by-step explanation:
Answer:
667
Step-by-step explanation:
can you please help me! In a triangle, a segment is drawn joining the midpoint of two sides. What is true about this segment? a. Its length is equal to the 3 rd side. b. Its length is twice the 3 rd side. c. It is parallel to the 3 rd side. d. It is ⊥ to the 3 rd side.
Answers
Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side
Step-by-step explanation:
Answer: Its length is twice the 3rd side.
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the
heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth.
A. 465.10 cm³
B. 480.08 cm³
C. 489.40 cm³
D. 498.04 cm³
Answers
Answer:
c
Step-by-step explanation:
A line has a slope of 2 and passes through the point (-2,8). What is the equation of the line?
Answers
Answer:
y-8=2(x+2)
Step-by-step explanation:
Equation of a line is easy once you get the hang of it. State with the point slope form y-y2=m(x-x2) Simply plug in the points given to get the equation.
Please helpppp what is the solution to the system of equations
Answers
Answer:
The third one
Step-by-step explanation:
Can anyone help thank you
Answers
segment if a is a perpendicular bisector of segment BD if the measure of angle frd is represented by the expression 7x + 6 find the value of x
Answers
Answer:
x = 12
Step-by-step explanation:
If it is a perpendicular bisector, then the intercepting angles are always 90°.
If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.
A bowl contains 5 red balls and 5 white balls. Dorothy selects balls at random without looking at them. How many balls must she select to be sure she has at least two red balls?
Answers
Answer:
7
Step-by-step explanation:
To find the answer, consult the worst case. The worst thing that can happen is Dorothy selects the 5 white balls first. Now, only red balls remain. Since Dorothy can only select red balls, the first 2 balls she will pick will be red. 5+2=7. Dorothy must select 7 balls to be sure she has at least 2 red balls.
The number of balls that Dorothy must select to be sure she has at least two red balls is 6.
How many balls must she select to be sure she has at least two red balls?To be sure Dorothy has at least two red balls, we need to consider the worst-case scenario where she selects all the white balls before selecting any red balls.
Since there are 5 red balls and 5 white balls, the probability of selecting a red ball on the first draw is 5/10 or 1/2. If Dorothy selects a white ball on the first draw, the probability of selecting a red ball on the second draw is 5/9 since there will be 5 red balls and 9 balls in total remaining in the bowl.
In the worst-case scenario, Dorothy selects all 5 white balls first, so she needs to draw at least 6 balls to be sure she has at least two red balls. This is because on the sixth draw, there will be 5 red balls and 4 white balls left in the bowl, ensuring that she gets at least two red balls.
Therefore, the number of balls Dorothy must select is at least 6 balls to be sure she has at least two red balls.
Read more about probability here: https://brainly.com/question/25870256
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Lee did 4/5 of her homework in 5/6h. How long will it take to complete all her homework?
Answers
4/5 of the homework = 5/6 hr
1/4 of the homework = 5/6 ÷ 4
5/5 of the homework = 5/6 ÷ 4 × 5
5/6 ÷ 4 × 5 = 25/24 hrs which is 1 and 1/24 of an hr
answer: 1 and 1/24 of an hr
Match the graph to one of the exponential functions .
Answers
Answer:
The second possible answer is the correct one.
Step-by-step explanation:
The second possible answer is the correct one. As x increases, 4^x increases exponentially. However, in this case there's a negative sign in front of 4^x, so we know that the graph follows an exponential trajectory downward. Also note that 4^0 = 1, so 1 - 4^x = 0 at x = 0.
Need help fast please
Answers
Answer:
Vijays temperature was 4 degrees warmer
Step-by-step explanation:
the difference between -18 and -22 is +4
Answer:
Vijay's temperature was warmer by 4 degrees celsius.
Step-by-step explanation:
-18 + 22 = +4
I hope this helps!
-Bella
BrainlyBluebell
Find the volume round to the nearest tenth
Answers
Answer:
Step-by-step explanation:
Volume of a sphere:
V = 4/3 x pi x r^3
5. 3053.63mm^3
18 / 2 = 9mm = radius
4/3 x pi x 9^3 = 3053.628
8. 11494.04mm^3
28 / 2 = 14mm
4/3 x pi x 14^3 = 11494.040
Answer!!!!!!!!!!!!!!!!!!!
Answers
Answer & Step-by-step explanation:
The first thing we must do is gather the information from the problem. We are given that there are 38 boys and 22 girls which makes a total of 60 children in all.
38 + 22 = 60
We are also given that out of 60 children, 33 of these children have vouchers which leaves 27 children who don't have vouchers.
60 - 33 = 27
Lastly, we are given that twice as many boys as girls do not have vouchers. So, we have to find two numbers that add together to 27 but one of those numbers have to be half of the other number. These number are 9 and 18.
9 + 18 = 27
18 / 2 = 9
So, 27 children do not have vouchers which include 18 boys and 9 girls.
Now that we know this, we can subtract the number of girls without vouchers to the total number of girls. We will also do the same for the boys.
Girls: 22 - 9 = 13
Boys: 38 - 18 = 20
So, 33 children have vouchers which include 20 boys and 13 girls.
Can you please explian how this would be right I'm not understanding at all
Answers
Answer: 2 marbles
Step-by-step explanation:
Look at the scale. On the right there are 3 less squares. But there are more marbles! So, if you subtract three marbles (the ones that would make it equal to the left) and divide the marbles by 3 squares, you get 2!
PLEASE MARK BRAINLIEST
Answer:each box should weigh as much as 2 marbles
Step-by-step explanation:
On the first side of the scale theres a 5 next to the box and im assuming that means that there are 5 boxes on the first side of the scale. 5 boxes that each weigh 2 marbles + the 3 marbles that are already there = 13 marbles total
On the second side of the scale there are 9 marbles and 2 boxes. 2 boxes that each weigh 2 marbles + 9 marbles that are already there = 13 marbles total
So the scale will be balanced because there is 13 on each side
WILL MARK BEST ANSWER!! PLEASE HELP On a piece of paper, draw a box plot to represent the data below. Then
determine which answer choice matches the box plot you drew.
22, 28, 29, 34, 36, 42, 44, 57, 58, 60, 61
Answers
Because the only difference between the rest of the answer choices are the lower and upper quartiles, that is all you need to find. In order to do so you find the median for the first half (lower quartile) and then find the median for the second half. In this case it is 29 (Q1) and 58 (Q2)
The answer choice which matches the box plot is A. 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70
What are data types in maths?The type of data is reflected in the numerical names as Domain, i.e., a set of possible values (e.g., whole numbers, real numbers, etc.); A set of functions in domain features (e.g., total, multiplication, etc.); A collection of literal words, meaning mathematical variables.
What are the 3 types of data in maths?quantity data - data that can be numbered, for example, children's height. precise data - numerical data that can be expressed by decimals, for example, the number of children in a class. continuous data - numerical data that can be expressed by decimal, for example, weights of 10 children.
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