X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.
Answers
Answer: The acute angle ∠YXZ = 24.3°.
Step-by-step explanation:
If in triangle ABC, C is the angle included between sides a and b then
Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]
here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..
Area of a triangle = 59.7cm²
then, as per given, we have
[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]
Hence, the acute angle ∠YXZ = 24.3°.
Related Questions
SOMONE HELP PLEASE! I HAVE BEEN STRUGGLING ALL DAY!
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Answer: 378 the second option
Step-by-step explanation:
Answer:
378
Step-by-step explanation:
Multiply 9 and 12 then divide by 2 to get the area of the triangle then multiple by 7 to get the volume
If the lines in a system of equations have different slopes and the same y-intercept, how many solutions does the system have?
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Answer:
289819
Step-by-step explanation:
Tucker got in his car and started driving toward his grandmother's house. After driving for 1 hour and 30 minutes, Tucker took a break for 40 minutes to have a snack. Then Tucker drove 1 hour and 40 minutes and finally arrived at his grandmother's house at 6:05 P.M. What time did Tucker start driving?
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Answer: He started driving at 2:15 P.M.
Step-by-step explanation:
Answer:
3:05 P.M
Step-by-step explanation:
6:05 - 1 hour and 30 min = 5:25
5:25-40 minutes = 4:45
4:45 - 1 hour 40 minutes = 3:05 P.M
a coin is tossed several times and the ratio of the head to tails is 24:26. What Fraction of Tosses are heads?
Answers
Answer:
siiiiiiiiii
Step-by-step explanation:
(2x2)+(6x 109)
I don’t know how to do this
Answers
Answer:
658
Step-by-step explanation:
4+654=658.........
Answer:
658
Step-by-step explanation:
First solve 2x2, which is equal to 4.
Then solve 6 x 109 which is equal to 654.
Now add 4 to 654, and you'll get 658
Use distributive property to simplify the following expression then combine like
terms: -5(a-6)+6a. Then identify the coefficient for the simplified expression.
Your answer
Answers
Answer:
Step-by-step explanation:
distribute:
-5a+30+6a
simplify:
a+30
not sure what u mean by coefficient, the coefficient of a is 1.
Answer: a + 30
Step-by-step explanation:
Using the distributive property, we can figure out the expression unsimplified = -5a+30+6a
By combining like terms, -5a+6a = a
Therefore, this expression = a + 30
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
I need the answer as soon as possible
Answers
Answer:
Reflection on the Y axis.
Step-by-step explanation:
(I cannot see the rest of the answers but I am assuming reflection is one of them). The shape reflects perfectly on the Y axis.
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answers
Answer: 120cm
Step-by-step explanation:
HELP ASAP DUE IN 20 MINUTES
Answers
Answer:
x = 3
< D = 26
< E = 54
Step-by-step explanation:
I did the math
John joined a gym for 6 months. He pays 20$ per month plus a membership fee. If his bill is 150$, what was the membership fee?
Answers
Answer:
Step-by-step explanation:
If he's been at the gym for 6 months, and he is charged $20 each month, then he has paid $120 dollars, not counting his membership fee. His total bill is $150.
150-120= $30
His membership fee was $30.
Hope this helps!
Mark Brainliest plz!
x is the number of months and y is the membership fee
[tex]cost = 20x + y[/tex]
[tex]150 = 20(6) + y[/tex]
[tex]150 = 120 + y[/tex]
[tex]150 - 120 = 120 - 120 + y[/tex]
[tex]30 = y[/tex]
The membership fee was $30.
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 11) 40 2 1 r 0 -4 -3 -2 +1 0 1 2 3 -1 -2 -3 -4 Slope = y-intercept =
Answers
Answer:
55555555
Step-by-step explanation:
What is -2 1/3 - (-5)?
Answers
Answer: =2 2/ 3
Step-by-step explanation:
The circumference of a circle is 5 feet. What is the area?
Give the exact answer in simplest form.
Answers
Answer:
We have the formula for the area of a circle: S = R² x [tex]\pi[/tex]
=> S = 5² x 3.14 = 78.5 f²
Step-by-step explanation:
Perform the indicated operation.
f (x) = x2 − 4 g(x) = −3x Find f (g(x))
Answers
Answer:
-6x-4
Step-by-step explanation:
2(-3x)-4
-6x-4
r F(x) is your frame function since it is on the outside, when every you get to an x in the F function you plug in the G function then solve as normal.
Micah has 294 songs stored in his phone,which is 70% of the songs that Jorge in his phone.How many songs are stored on Jorge'S phone ?
Answers
Answer:
206
Step-by-step explanation:
70% of 294
70/100 × 294/1
205.8
round it off to 206
Solve the equation. 8w = 48
Answers
Answer:
8w=48
This answer can be simplified by dividing both sides which contain the variable, which in this case is 8. Dividing 48 by 8 gets 6. This means that w equals 6.
Answer:
w = 6
Step-by-step explanation:
Solve
8w = 48
8w/8 = 48/8
= w = 6
um dado de 6 faces numeradas de 1 a 6 e lançado de maneira aleatória deseja-se que ele caia com uma face para cima . Qual a probabilidade de se obter a face com um dos valores desejados
Answers
Answer: The translation: is "a die with 6 faces numbered from 1 to 6 and thrown in a random way is desired to fall face up. What is the probability of obtaining the face with one of the desired values"
help plsss how do you find the size of angle ABE
Answers
Answer:
∠b = 90°
Step-by-step explanation:
If you wrote it correctly then ∠d will = 90°, right?
We have AB ║(which is parallel to) D => ∠b = ∠d = 90°
P/S: I think that you took the wrong photo, the right question should be above. I'm very please if you can take it again and I will write the right solution down below in the comment section (if u don't mind)
For a National Junior Honor Society Induction Celebration, Ahmed is renting tables and chairs. He wants to have only tables for 4 and tables for 6. The total number of people that can be seated in the school cafeteria with these tables is 160. Which equation represents this situation? (hint draw a picture) *
Answers
Answer:
i am not smart
Step-by-step explanation:
Please help I don't know how to do this
Answers
i not sure but i think its 183
Answer:
question 18 asking for a equation for each week 89÷4
question 19 would be 60 + 123 = 183 then 183 ÷ 4 = 45.75
What fraction do you multiply 3 by to get 1
Answers
1/3 + 1/3 + 1/3 equals 1
which is the same as 1/3 times 3
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the
nearest degree
Answers
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosines in triangle OPQ, we get
[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]
[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]
[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]
[tex]\cos P=\dfrac{168800}{868000}[/tex]
On further simplification, we get
[tex]\cos P=0.19447[/tex]
[tex]P=\cos^{-1}(0.19447)[/tex]
[tex]P=78.786236[/tex]
[tex]P\approx 79[/tex]
Therefore, the measure of angle P is 79 degrees.
Answer:
79
Step-by-step explanation:
Please I need help does anyone know a hack for khan academy
Answers
Answer:
Answer:
0.3643
Step-by-step explanation:
Standard Form and Scientific Notation
What is standard form of numbers?
Standard form is the normal way of writing numbers no matter how big or small the number is.
Examples:
15,000,000
0.0000000678
What is scientific notation?
Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.
Examples:
1.3 × 10⁶
34.5 × 10^⁻9
Going back to the question above, we need to convert the given scientific notation to its standard form.
Converting of Scientific Notation to Standard Form
To convert a number from scientific notation to standard form, move the decimal point.
The exponent tells the direction and the number of times we need to move the decimal point.
The positive exponent indicates a large number so we need to move the decimal point to the right.
The negative exponent indicates a small number so we need to move the decimal point to the left.
Do not write the power of 10 anymore.
Solution:
Now, let us convert 3.643 x 10^-1 in standard form.
The exponent is negative 1 so we will move the decimal point to the left once.
3.643 = 0.3643
1 4/5 as a decimal thank you (will be giving brainliest to first answer that is correct) : D
Answers
Answer:
yes its decimal
Step-by-step explanation:
The given fraction into percent and decimal are; 2.8 and 280%
How to convert percent to fraction and decimal?Percent counts the number compared to 100.
There is a fraction, containing numerator(upper value) and denominator(lower value).
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get,
For each 1, there are a/100 parts.
Thus, 50% = 50/100 = 0.50 (in decimal)
There is a fraction, containing numerator(upper value) and denominator(lower value).
The mixed fraction contains a sum of whole number and a proper fraction.
WE have been given a fraction as;
14/5
Then Fraction Decimal Percentage
2.8 and 280%
The given fraction into percent and decimal are; 2.8 and 280%
Learn more about fraction here:
https://brainly.com/question/27010538
#SPJ2
What is the equation graph below?
Answers
Answer: y =7/4x
Step-by-step explanation:
The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4
It takes lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer. How far is the friend from lucas' house
Answers
Answer:
Step-by-step explanation:
It takes Lucas 3 hours to cycle from his home to his friend’s village:
3 hours • (a certain speed) = distance in miles
If he travels 5mph slower, it will take him 1.5 hours longer:
4.5 hours • (the same speed - 5mph) = the same distance in miles
4.5 • (x - 5) = 3x
4.5x - 22.5 = 3x
1.5x = 22.5
x = 15mph
3hours • 15mph = 45 miles
9. An inequality is shown
2x - 5 < 33
Select all the values that are solutions to this inequality
a. 28
b. 26
C. 19
d. 18
e. 12
PLEASE HELPP!!
Answers
38/2=19
Step-by-step explanation
Explanation:
2x - 5 < 33
2x < 33 + 5
2x < 38
x < 38/2
x < 19
x must be smaller than 19.
It can’t be 19 because it didn’t say smaller than or equal to.
So the answer is 18 and 12.
Write the following inequality in slope-intercept form. –12x – 2y ≥ –42 y ≥ –6x – 21 y ≤ –6x – 21 y ≤ –6x + 21 y ≥ –6x + 21
Answers
Answer:
y ≤ –6x + 21
Step-by-step explanation:
Cuánto costará cercar una finca cuadrada de 14 metros de lado a razón de $150 el metro lineal de alambrada
Answers
Answer:
$ 2100
Step-by-step explanation:
De la pregunta anterior:
1 metro de cerca de alambre = $ 150
14 metros = x
Cruz multiplicar
x = 14 × $ 150
x = $ 2100
Por lo tanto, costaría $ 2100 por una cerca de 14 metros
Please Help i need this right now Thanks