Answer:
The measure of ∠O is 97.2° to the nearest tenth
Step-by-step explanation:
To solve this question, we will use the cosine rule
In Δ OPQ
Side o is opposite to ∠O
Side p is opposite to ∠P
Side q is opposite to ∠Q
By using the cosine rule
∵ o² = p² + q² - 2(p)(q)cos∠O
∵ o = 6.6 inches
∵ p = 2.1 inches
∵ q = 6 inches
→ Substitute them in the rule above
∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O
∴ 43.56 = 4.41 + 36 - 25.2cos∠O
→ Add the like terms in the right side
∴ 43.56 = 40.41 - 25.2cos∠O
→ Subtract 40.41 from both sides
∵ 3.15 = -25.2cos∠O
→ Divide both sides by -25.2 to find cos∠O
∴ -0.125 = cos∠O
→ Use your calculator to find ∠O
∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]
∴ m∠O = 97.18075578
→ Round it to the nearest tenth ⇒ 2d.p.
∴ m∠O = 97.2°
What is the simplest form of 1.764?
0 21
0 42
0 3²(7²)
22(32)(74)
please explain why because I don’t want someone to guess this is kinda important, ty
Answer:
[tex]1764 = 2^2 \times 3^2 \times 7^2[/tex]
Step-by-step explanation:
Divide by the prime numbers in increasing order until you find all the prime factors.
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17
1764/2 = 882
882/2 = 441
441/3 = 147
147/3 = 49
49/7 = 7
7/7 = 1
[tex]1764 = 2^2 \times 3^2 \times 7^2[/tex]
which two triangles are congruent? complete the congruence statement.
Guided Practice
CPCTC
Given
KGK
H is the midpoint of GK
Prove:
Side FG - Side JK
Statement
Reason
es
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 3/4x + 11 - 5 1/2 + 1/4x
Answer:
x-29/2
Step-by-step explanation:
marking brainly! Identify the coefficient in the term 7x2 y3.
2
3
7
Step-by-step explanation:
If you meant 7 times 2y^3, the coefficient term for y^3 would be 2 and coefficient of y^0 term (or the constant term) would be 7
Please answer the bottom one
Answer:
The first one is 109, the 2nd one is the 2nd and 4th choices
Step-by-step explanation:
Five more than a number is equal to seven-halves of the number What is the number?
HELP
Answer:
The number is 2
Step-by-step explanation:
To attempt this question, we need to represent the number with (x).
Let the number be x
Five more than the number is:
5 + x
Seven-halves means 1/2 × 7 = 7/2
Mathematically, the question is saying:
5 + x = 7/2 × x
5 + x = 7x/2
Cross multiply;
2(5 + x) = 7x
10 + 2x = 7x
We collect like terms;
10 = 7x - 2x
10 = 5x
x = 10/5
x = 2
The number represented by x is 2
We want to convert the given sentence into an equation, and then solve it. We will see that the number is 2.
Finding the equation
We start with the sentence:
"Five more than a number is equal to seven-halves of the number"
if we define x as the number, we can write:
5 + x = (7/2)*x
Now we can solve this equation for x, we will get:
5 + x = (7/2)*x
5 = (7/2)*x - x = (7/2 - 1)*x
5 = (7/2 - 2/2)*x = (5/2)*x
(2/5)*5 = x
2 = x
So the number is 2.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
What is the total area of this composite figure rounded to the nearest hundredth?
18.53 ft2
43.07 ft2
39.53 ft2
20.07 ft2
Answer:
B) 176 ft²
Step-by-step explanation:
Answer:
39.53 ft2
Step-by-step explanation:
If you are having a hard time with this it is most likely due to the semicircle. First you need to divide the diameter (3) by 1/2, next you multiply the now radius (radius is always 1/2 of the diameter) and pi to get 3.53.
Now you have to find the area of the rectangle, 3*12 = 36.
36 + 3.53 = 39.53 rounded.
Options are:
- is
- is not
Answer:
Not constant
Step-by-step explanation:
it is not constant. lol
If 4/5 – 3/10 = x + 11/2, find the value of
X.
Answer:
x = 85/60 or 17/12
Step-by-step explanation:
4/5 - 3/10 = x + 11/12
=> 8/10 - 3/10 = x + 11/12
=> 5/10 = x - 11/12
=> x - 11/12 = 5/10
=> x = 5/10 + 11/12
=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5
=> x = 30 / 60 + 55/60
=> x= 85/60
If my answer helped, kindly mark me as the brainleist !!
Thank You!!
Answer:
maybe -5
Step-by-step explanation:
4/5-3/10=x+11/2
1/2-11/2=x
-10=2x
x=-5
2= n/3 n=?
In "One-strp multiplication &division equations
Pls answer professionally or with the right answer I’m beg you
Answer:
Step-by-step explanation:
Hello friend!!!
here's ur answer
1) <y = 180 - 74 = 106° ( linear pair )
<x = <y ( alternate angles )
therefore, <x = <y = 106°
2) <x = 68° ( corresponding angles )
<y = 180 - 68 = 112° ( linear pair )
<z = 112° ( vertically opposite angles )
Hope this helps
plz mark as brainliest!!!!!
A food truck used 6 cartons of boxes for the dinners they sold yesterday. There are 24 boxes in a carton. Each dinner uses one box and costs $11. How many boxes did the food truck use yesterday? What was the total amount of money they made from selling dinners?
Answer:
$1584
Step-by-step explanation:
My first answer got deleted because it was incomplete or something.
Just multiply 6x24x11 and you'll get the answer.
How do u write 342 hundredths
Answer:
Since 342 hundredths is 342 over one hundred, 342 hundredths as a Fraction is 342/100. If you divide 342 by one hundred you get 342 hundredths as a decimal which is 3.42. To get 342 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 342 percent.
Answer:3.42
Step-by-step explanation:
Solve the equation formed when f ( x ) = g ( x ).
f ( x ) = 4 x − 4
g ( x ) = 1 2 x + 3
Group of answer choices
A. x = -4
B. x = 4
C. x = 2
D. x = -2
Answer:
The answer should be x = -7/8 but it doesn't say that for any of the choices
Step-by-step explanation:
There is ounce of yeast in every 2 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?
WILL MARK BRAINLIEST!! PLEASE HELP ME
a. If sea level is represented by 0, then something below sea level would be a value of something less than zero, a negative number. Because the Challenger Deep is 35,814 feet below sea level, it will be represented by -35,814.
b. Trieste is trying to reach the bottom of the challenger deep, which is y, and descending the ocean at -3 feet per second. So the equation would be like this
-35,814 = -3x
We are just looking for x. Notice how both number values are negative so the time it would take Trieste to reach the bottom would be a positive value.
-35,814 divided by -3 = 11938, so it would take 11938 seconds to reach the bottom.
c. y and x would be used in the same context as it would just now. Except that Trieste is coming up to the surface, so the depth of the Challenger Deep is positive.
35814 = k * 11938
k = 3, the amount of time it took to reach the surface in hours.
Hope this helps!
Please help me solve this i need help
Answer:
21
Step-by-step explanation:
The solution to -3(2 - 5x) = 3x + 12 is
1. -2.25
2. -1.625
3. 1.5
4. 3
Answer:
1.5
Step-by-step explanation:
i am not certain but this is how I got it
First distribute which gives you the -3 with 2 I switched them around so I did -3(-5x+2) and you will get 15x-6
Then the opposite of subtraction is addition so you add 6 to both sides so you add six to 12 and to 6 leaving you with 15x=3x+18 you then will subtract 3x from 15x and 3 leaving you with 12x=18 the divide the numbers
After you divide you get 3/2 then put it has a decimal and you get 1.5
Type the correct answer in each box. Use numerals instead of words.
Michael accidently dropped his conducting baton off the top of the bleachers while performing with the marching band at a football game. The
bleachers are 144 feet high, and the baton landed after 3 seconds. Complete the table modeling the height of the baton, h(t), after t seconds.
Answer: the first bubble is 144, the last bubble is 3
Step-by-step explanation:
at 0 seconds the height is 144. at 3 seconds the height is 0.
The required missing values in the table are (0,176) and (3.67, 0).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The equation representing the given data in the table is given by the equation of the line,
y - y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the value in the above equation from the table.
y - 128 = (80-128)/(2-1) (x - 1)
y - 128 = -48/1(x - 1)
y = -48x + 48 + 128
y = -48x + 176
Put x = 0 in the above equation,
y = 176 feet high
Again put y = 0
0 = -48x = +176
48x = 176
x = 176 / 48
x = 3.67
Thus, the required missing values in the table is (0,176) and (3.67, 0).
Learn more about slopes here:
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Dada una distribución t de Student con 15 grados de libertad, calcule el valor de t1 tal que a) el área a la derecha de t1 sea 0.01, b) el área a la izquierda de t1 sea 0.95, c) el área a la derecha de t1 sea 0.10, d) el área a la derecha de t1 junto con el área a la izquierda de –t1 sea 0.01, e) el área entre a –t1 y t1 sea 0.95.
Answer:
a) t₁ = 2,947
b) t₁ = 2,131
c) t₁ = 1,753
d) t₁ = 2,947 -t₁ = -2,947
e) t₁ = 2,131 -t₁ = -2, 131
Step-by-step explanation:
a) t₁ para el área a la derecha de 0,01
En la tabla t- student el t correspondiente a 0,01 es:
t₁ = 2,947
b) t₁ para el área a la izquierda sea de 0,95. Es igual al t para el cual el área de la drecha es 0,05
t₁ = 2,131
c) t₁ para que el área de la derecha sea 0,10
t₁ = 1,753
d) Buscar t₁ para el cual las áreas de derecha de (t₁) más la de la izquierda de (- t₁ ) sea 0,01.
Si el área es de 0,01 quere decir que la mitad, es decir 0,005 es el área para una cola, luego
t₁ = 2,947 y -t₁ = -2,947
e) Para que el área entre - t₁ y t₁ sea 0,95
t₁ = 2,131 y -t₁ = -2, 131
1. la señora Treviño tiene el doble de edad que su
hijo hace 9 años la suma de su edades era 30
¿cual es su edad actual?
Answer:
Daughter age = x = 16 years old
Mother's age = 2x = 2 × 16 = 32 years
Step-by-step explanation:
The computation of their current age is shown below:
Let us assume that the current age of the daughter is x
And, the current age of the mother be 2x
Now nine years ago, their ages would be
daughter age is x - 9
And, the mother age would be 2x - 9
Now the equation would be
x - 9 + 2x - 9 = 30
3x - 18 = 30
3x = 30 + 18
3x = 48
x = 48 ÷ 3
x = 16.
Therefore
Daughter age = x = 16 years old
Mother's age = 2x = 2 × 16 = 32 years
Solve for y
y + 2 = -2(x + 2)
Step-by-step explanation:
y + 2 = -2x - 4
y = -2x - 6
hope it helps, not 100% sure if it's right
Household incomes are normally distributed with a mean of $47,500 and a standard deviation of $12,500. What is the probability of having incomes of $60,000
or more?
a) 2.50%
O b) 5.0096
C) 15.87%
od) 7.8096
Answer:
Option C: 15.87 is the correct answer
Step-by-step explanation:
Given
Mean = $47500
SD = $12500
We have to find the probability of having $60000 or more
So,
x = $60000
The z-score will be:
[tex]z-score = z = \frac{x-mean}{SD}\\z = \frac{60000-47500}{12500}\\= \frac{12500}{12500}\\= 1[/tex]
Looking in the z-score table, we get
P(Z<60000) = 0.8413
In order to find the probability P(Z>60000) => 1-P(Z<60000)
= 1-0.8413
=0.1587
Converting into percentage: 0.1587*100 = 15.87%
Hence,
Option C: 15.87 is the correct answer
Let f(x) = 3x + 2 and g(x) = - 2x + 1 Find f(g(- 2))
is it
a: -7
b: 9
c: 17
d: 0
Answer:
(c). 17
Step-by-step explanation:
f(g(x)) = 3( - 2x + 1 ) + 2 = - 6x + 5
f(g(- 2)) = - 6( - 2 ) + 5 = 17
3x+8
What is the solution of
3x+8 /X-4>_
0?
oxs-orx>4
x 8
*<-3 or x>4
Osx<4
0 - 3 < x <4
Answer:
a
Step-by-step explanation:
The solution of the inequality 3x + 8 / (x -4 ) ≥ 0 is x≥ -8/3.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have the inequality,
3x + 8 / (x -4 ) ≥ 0
Now, simplifying the inequality
3x + 8 ≥ 0
3x ≥ 0-8
3x ≥ -8
x ≥ -8/3
Learn more about Inequality here:
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The total number of students enrolled at Twin Rivers Middle School is 2,000
students. If the ratio of boys to girls is also 3 to 2 for the school, how many students
are boys and how many students are girls at Twin Rivers Middle school?
Answer:
1200 boys and 800 girls
Step-by-step explanation:
since the ratio is 3:2 i just added the ratio to get 5 then divided that by how many total students there were giving me 400, then multiplied it by 3 for the boys and by 2 for the girls. giving me 1200 and 800
(sorry if this is confusing)
Add the ratios together: 3 + 2 = 5
Divide total students by 5:
2000 / 5 = 400
Multiply each ratio by 400:
Boys = 400 x 3 = 1200
Girls = 400 x 2 = 800
A bell tolls every 30 minutes on the
hour and at half past the hour. How
many times does the bell toll
between the times of 11.45a.m. and
3.10p.m.?
Evaluate the expression 2x^2-y^1+3x^0 for x=3 and y=7
Answer:
14
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The lengths of the sides of a triangle are in the extended ratio 7: 9 : 10. The perimeter of the triangle is 52 cm. What are the lengths of the sides?
Answer:
14 cm, 18 cm, 20 cm
Step-by-step explanation:
7x + 9x + 10x = 26x
equation: 26x = 52
divide each side by 26: x = 2
7 * 2 = 14
9 * 2 = 18
10 * 2 = 20
check if answer is right: 14 + 20 + 18 = 52
I hope this helped, please mark Brainliest thank you so much!!