Answer:
[tex]x\approx49.3266\textdegree[/tex]
Step-by-step explanation:
So we want to find Angle x.
Note that we already know the side length of the side opposite to Angle x.
We also know that the hypotenuse is 56.3.
Therefore, we can use the sine function. Recall that:
[tex]\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
The opposite side is 42.7. The hypotenuse is 56.3. Substitute:
[tex]\sin(x)=\frac{42.7}{56.3}[/tex]
Take the inverse sine of both sides.
[tex]\sin^{-1}(\sin(x))=\sin^{-1}(\frac{42.7}{56.3})[/tex]
The left side cancels:
[tex]x=\sin^{-1}(\frac{42.7}{56.3})[/tex]
Use a calculator. Thus:
[tex]x\approx49.3266\textdegree[/tex]
And that's our answer :)
Answer:
[tex]\Huge \boxed{\mathrm{49.33 \° }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for the missing angle.
[tex]\displaystyle \mathrm{sin \theta =\frac{opposite}{hypotenuse} }[/tex]
The opposite side to angle x is 42.7.
The hypotenuse of the right triangle is 56.3.
[tex]\displaystyle \mathrm{sin} (x)=\frac{42.7}{56.3}[/tex]
Taking inverse sin of both sides.
[tex]\displaystyle x=\mathrm{sin^{-1}}( \frac{42.7}{56.3})[/tex]
[tex]x= 49.3265955[/tex]
The missing angle measures approximately 49.33°.
[tex]\rule[225]{225}{2}[/tex]
for geometry PLEASE HELP it’s URGENT DO NOT waste my answers please
Step-by-step explanation:
Remember: the midsegment is always parallel to the third side, and the length is half of the third side. (Third side = XY) Assuming that line segment XY is the length of the third side of the triangle, we can insert it into this equation:
[tex]m=\frac{AB}{2}[/tex]
Let's plug in XY for AB.
[tex]m = \frac{XY}{2}[/tex]
[tex]m=\frac{12}{2} \\[/tex]
[tex]AC=6[/tex]
Our final answer: AC = 6
Match the inequality with its symbolic form.
x>5
A number is larger than 5.
x 25
A number is below 5.
X35
A number is not less than 5.
*<5
A number is at most 5.
Answer/Step-by-step explanation:
The following inequalities can be translated and matched as follows:
1. A number is larger than 5:
Let that number be x. Numbers that are larger than 5 are 6, 7, 8 and so on. Therefore, the number that is larger is greater than 5. This can be represented in the symbolic form as:
x > 5
2. A number is below 5:
Numbers that are below 5 are 4, 3, 2 and so on. Therefore, we can say the number, x, is less than 5. This can be written in symbolic form as:
x < 5
3. A number is not less than 5:
A number that is not less than 5 could equal 5 or any other number that is larger than 5. Therefore, we can say the number, x, equals 5 or greater than 5. This can be written as:
x ≥ 5
4. A number is at most 5:
At most 5, means the number, x, is either 5 or less than 5. This can be written as:
x ≤ 5
just copy off of the picture :)
Last month, Ed ate 9 apples, 5 bananas, 4 peaches, and 7 oranges. Find the ratio bananas to the total number of fruit. Then explain the meaning.
Answer:
Last month, Ed ate 9 apples, 5 bananas, 4 peaches, and 7 oranges. Find the ratio bananas to the total number of fruit. Then explain the meaning.
Step-by-step explanation:
first since there is 5 bananas it will be 5:_ and then the total so add up all the fruits
9+5+4+7=25 so
5:25
or
1:5
Solve 2x^2+x=15. Please
Answer:
x=(5/2,-3)
Step-by-step explanation:
2x²+x=15
2x²+x-15=0
(2x-5)(x+3)=0
x=(5/2,-3)
A square has an area of 157 square centimeters. The length of the square's sides would be between-
O 13 cm and 14 cm
O 14 cm and 15 cm
O 12 cm and 13 cm
11 cm and 12 cm
BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parallel lines and a transversal are ≅. 4. ∠ADC ≅ ∠AEB 4. Corresponding angles formed by parallel lines and a transversal are ≅. 5. ΔABE ∼ ΔACD 5. AA Similarity Postulate 6. AC AB = AD AE 6. Definition of Similar Triangles 7. AC = AB + BC, AD = AE + ED 7. ??? 8. AB + BC AB = AE + ED AE 8. Substitution 9. AB AB + BC AB = AE AE + ED AE 9. Addition 10. BC AB = ED AE 10. Subtraction Fill in the missing reason for the proof. A) Transitive Property B) Subtraction Property C) SSS Similarity Theorem D) Segment Addition Postulate
Answer:
The correct option is Segment Addition Postulate
Step-by-step explanation:
The segment addition postulate states that where there are two points on a line A and C and a third point B can only be located on the line segment AB if and only if the the distances between point A and point B as well as the distance between point B and point C satisfy the equation AB + BC = AC
Therefore, given that in the figure, the point B is in between point A and point C on segment AC then AB + BC
Similarly, AD = AE + ED.
what is 12/4 plus 18 as a fraction
Answer:
21
Step-by-step explanation:
12/4.+18
The lcm is 4.
12+4(18) all divided by 4
12+72=84
84/4=21
Answer:
[tex] \frac{84}{4} \: or \: 21[/tex]
Step-by-step explanation:
[tex] \frac{12}{4} + 18 = \frac{12}{4} + \frac{18}{1} = \frac{12 + 72}{4} = \frac{84}{4} \: or \: 21 [/tex]
Criss cross the fraction and you will get the answer.
Hope this helps ;) ❤❤❤
Simplify the following algebraic expression:
- 3n(-n+4) - n(3 +7n)
Answer:
The expression simplified
Answer:
-4n^2 + -15n
Step-by-step explanation:
-3n(-n + 4) - n(3 + 7n)
= -3n * -n + -3n * 4 + -n * 3 + -n * 7n
= 3n^2 + -12n + -3n + -7n^2
= -4n^2 + -15n
Cheers.
find the length of the missing side of the right triangle.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13 \: \: units \: }}}}}[/tex]
Step-by-step explanation:
Perpendicular ( p ) = 5
Base ( b ) = 12
Hypotenuse ( h ) = ?
Finding the length of missing side
Using Pythagoras theorem
[tex] \boxed{ \sf{ {h}^{2} = { p}^{2} + {b}^{2} }}[/tex]
plug the values
⇒[tex] \sf{ {h}^{2} = {5}^{2} + {12}^{2} }[/tex]
Evaluate the power
⇒[tex] \sf{ {h}^{2} = 25 + 144}[/tex]
Add the numbers : 25 and 144
⇒[tex] \sf{ {h}^{2} = 169}[/tex]
Squaring on both sides
⇒[tex] \sf{ \sqrt{ {h}^{2} } = \sqrt{169}} [/tex]
Calculate
⇒[tex] \sf{ {h} = 13 \: units}[/tex]
Hope I helped!
Best regards! :D
How is the intersection point of two linear functions related to solving
a linear equation?
Answer:
Linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.
Step-by-step explanation:
If we have two linear functions f(x) and g(x) which are intersecting at a point (a,b), then equating both functions we get a linear equation as
[tex]f(x)=g(x)=y[/tex]
On solving this linear equation we get the x-coordinate of the point of intersection, i.e., x=a.
After that, we need to substitute x=a in either f(x) or g(x) to get the y-coordinate of the point of intersection.
Therefore, the linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.
the volume of a coffee mug should be measured in
Answer:
I think it's millilitres.
Explanation: You use millilitres or fluid ounces to measure a coffee mug.
Hope it helps!
Answer:
The cup is a cooking measure of volume, commonly associated with cooking and serving sizes. It is traditionally equal to half a liquid pint in US customary units, or an amount between 200 mL and 250 mL (1 ⁄ 5 and 1 ⁄ 4 of a litre) in the metric system, which may vary due to location.
The angles of a triangle re 2y , 3y , and 4y ,find the value of y in degrees
Answer:
y = 20°
Step-by-step explanation:
[tex]Sum\:of\:angles\:in\:a\:triangle = 180\°\\\\2y\°+3y\°+4y\° =180\°\\\\Simplify\\9y\° = 180\°\\\\Divide \:both\:sides\:of\:the\:equation\:by\:9\\\frac{9y}{9} = \frac{180\°}{9} \\y = 20\°[/tex]
Function Operations
A Farmer picks 242 apples on Monday and 118 apples on Tuesday. On Wednesday, she sells 109 of the apples at the market. Which equation can be used to find a, the number of apples of farmer has left?
Answer:
the farmer has 242 apples left
Step-by-step explanation:
A = awnser
M= Monday
T= Tuesday
M= 242
T= 109
W = amount sold or 109
(M+T)-W= total amount left
use order of operations and add whats in the ( )
( 242+109 ) = 351 or ( M+T )
then you would use the sum of ( M+T ) and subtract W or 109 wich would then equal 242 so the equation
( 242+109 ) - 109 would equal 242 or ( M+T ) - W = A
When
multiplying
signed
numbers. how
do you know
whether the
numberis
positive or
negative?
Answer:
Below
Step-by-step explanation:
Follow this rule:
● if the numbers multiplied together have the same signs, the product is a positive number.
● if the nupbers multiplied togethers have different signs, the product is a negative number.
Answer:
Step-by-step explanation:
anytime you multiply a positive+Positive= it equals a positive number if you multiplying a negative + positive it will equal a negative even if the positive number is bigger for example 4 x -9= -36 9 x 4= 36 -9 x -4 = 36
Solve . What is the value of x? There is no real number solution for x.
Answer:
There is no problem.
Step-by-step explanation:
Answer:
1/6 on ed
Step-by-step explanation:
You earn $28 for washing 7 cars. How much do you earn for washing 6 cars?
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Since you can earn 28 dollars by washing 7 cars, and you want to find the amount money you can make by washing 6 cars.
[tex]\frac{28}{7} = \frac{x}{6}[/tex]
First, you should find the amount of money you can make by washing 1 car (unit rate).
[tex]\frac{28}{7} = \frac{x}{1}[/tex]
To get from 7 to 1, you have to divide 7 by 7; 7 ÷ 7 = 1.
Do the same thing to the numerator; 28 ÷ 7 = 4.
Now you know how much you make by washing 1 car, you need to find how much you make by washing 6 cars.
[tex]\frac{4}{1} = \frac{x}{6}[/tex]
To get from 1 to 6, you multiply by 6. 1 times 6 equals 6.
Now do the same thing to the numerator; 4 × 6 = 24.
You can earn 24 dollars by washing 6 cars.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
are the expressions 2(3x - 6) and 2(3x)x - 6 are equivalent
Answer:
No
Step-by-step explanation:
So lets do the first expression first
2(3x-6)
6x-6
So the first one is 6x-6
Now the second expression
2(3x)x-6
As you can see here, there's an extra x in this problem compared to the last problem, but lets still work it out
6x*x-6
So they are different.
If the extra x wasn't there then it would've worked.
Tell me if this helped
Find the next item in the pattern.
Z, Y, X,...
Answer:
W
Explanation:
Answer:
W
In the pattern ,alphabets are arranged from the opposite direction.
Suppose you want to solve the equation 2a+b=2a, where a and b are nonzero real numbers. describe the solution.
Answer:
b=0 would appreciate brainliest
Step-by-step explanation:
Otherwise, no solution for this equation. You cannot isolate the variable a; its solution value can be anything, but you still find b=0.
2a+b=2a
b+2a=2a
b+2a-2a=2a-2a
b+0=0
b=0
1. Which becomes 2(1) + 0 = 2(1)
2. 2 + 0 = 2 :
3. 2 = 2. Here we can observe the equality.
12 snakes have how many eyes altogether?
Answer:
24
Step-by-step explanation:
12 * 2 = 24
Your answer 5. You earn $9.65 per hour. This week, you earned $308.80 before taxes. Write and solve an equation to find the number of hours you worked this week.
$9.65 per hour
$308.80 before taxes this week
308.80/9.65 = 32 hours this week
The number of hours is 32 hours
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15.
Cost = $9.65 per hour
$308.80 before taxes this week
Number of hours
=308.80/9.65
= 32 hours this week
Learn more about equation here:
https://brainly.com/question/10413253
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A rectangular block of land is 6 m long and 3 m wide. A fence is to be constructed around the perimeter. What is the length of the fence?
Answer:
18
Step-by-step explanation:
6+6+3+3=18
Please Brainliest!!!
how do I solve this
Answer: pemdas you solve each portion in the order of pemdas parenthesis, exponents, multiplication, division, addition, and subtraction so you would start with 2(5x) than you would need to make both sides true so if you were to take 6 away from the left side of the equal sign you would need to do the same on the other side so put negative six on the right side
Step-by-step explanation:
Answer:
[tex]\huge \boxed{\mathrm{No \ solutions.}}[/tex]
Step-by-step explanation:
[tex]6-2|5x|=86[/tex]
Subtracting 6 from both sides.
[tex]-2|5x|=80[/tex]
Dividing both sides by -2.
[tex]|5x|=-40[/tex]
Solving for absolute value.
Absolute value cannot be less than 0.
There are no solutions.
What is the median in the following number set?
34, 71, 45, 21, 88, 53
Answer:
43 & 53
Step-by-step explanation:
Write an algebraic expression for 3 times the difference of -4 times q minus 10
Answer:
3*(-4*q-10)
Step-by-step explanation:
4(2x - 5)
14
simplified expression
Answer:
112x-280
Step-by-step explanation:
4C + 5 does not equal 0 and C is a real number what is the multiplicative inverse of 4C + 5
Answer:
1/ ( 4c+5)
Step-by-step explanation:
To be a multiplicative inverse, they multiply to 1
Let x be the multiplicative inverse
(4c+5) * x = 1
Divide each side by (4c+5)
x = 1/ ( 4c+5)
The distance along a straight road is measured as shown in the diagram below. If the distance between towns A and C is 67 miles, find the
distance between towns A and B. Homework Help
5x-2
2.x+6
Answer:
please re explain your question
You poured 3/4 cup of water in a measuring cup recipe indicates that you only need 2/3 cup how much water should you pour out
Answer:
you need to pour out 1/12 of the water.
Step-by-step explanation:
[tex]\frac{3}{4} -\frac{2}{3}[/tex]
you need to find like denominators
[tex]\frac{9}{12} -\frac{8}{12 }[/tex]
Now subtract
[tex]\frac{1}{12}[/tex]