Answer:
cot θ = [tex]\frac{7\sqrt{51} }{51}[/tex]
sin θ = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = [tex]\frac{10\sqrt{51} }{51}[/tex]
Step-by-step explanation:
First find the opposite side of angle θ by using the Pythagorean Theorem:
10² - 7² = (opposite side)²
100 - 49 = 51 => opposite side = √51
Use SohCahToa to find the values:
cot θ = adjacent/opposite = 7/√51 = [tex]\frac{7\sqrt{51} }{51}[/tex] (rationalize)
sin θ = opposite/hypotenuse = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = hypotenuse/opposite = 10/√51 = [tex]\frac{10\sqrt{51} }{51}[/tex] (rationalize)
Hope this helps!
Which expressions below are equivalent to 5 + 4(x - 7)? Select all that apply. A. 5 + 4x + 28 B. 4x - 28 + 5 C. 4x - 23 D. 9x - 28
Answer:
C
Step-by-step explanation:
you have to multiply 4 by x-7 thats equal to 4x - 28 then you have to substract 5 to 28 thats equal to 23 so the answer is 4x -23
Convert 80 liters into gallons. Round your answer to the nearest tenth.
Answer:
21.13 US gallons
Step-by-step explanation:
. _ .
Answer:
21.1338 rounded to the nearest tenth is 21.10
Step-by-step explanation:
Melissa bought 2 shirts and 3 skirts and spent between $45 and $60. Each shirt costs the same amount. Each skirt costs the same amount. The price of a shirt is $12. What is the least amount Melissa could have spent on a skirt? What is the most Melissa could have spent of a skirt?
Answer:
Least is 7
Most is 12
Step-by-step explanation:
So 2 shirts for 12.
So 24
Take 24 off of both
Left with 21 to 36
21÷3 is 7
36÷3 is 12
Hope this helps
Answer:
least - $7
most - $12
Explanation:
if the price of a shirt is $12, she must have spent at least $24 on the shirts in total.
the least amount melissa could have spent on a skirt is:
($45 - $24) ÷ 3 = $7
and the most she could have spent is:
($60 - $24) ÷ 3 = $12
i hope this helps! :D
Walmart is selling
school supplies: 5
notebooks only cost
$4.02! How much
would znotebooks
cost? What about 7
notebooks?
Plz help! :)
Answer:
2 notebooks are $2.48, 7 notebooks are $8.68
Step-by-step explanation:
Unit rate is 1.24
1.24x2= $2.48
1.24x7= $8.68
Which expression is equivalent to xy^2/9?
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Answer:
the correct answer is marked
Step-by-step explanation:
The denominator of a fractional exponent becomes the index of the radical when the power is written using a radical. The fractional power only applies to the y-factor, so that is all that is under the radical.
[tex]\displaystyle xy^{\frac{2}{9}}=x\cdot (y^2)^{\frac{1}{9}}=\boxed{x\sqrt[9]{y^2}}[/tex]
Solve for x.
3x + 7 = 28
O A. x=-7
OB. x= 2.3
O c. x=7
OD. = 11.6
E. x = 18
Answer:
The answer is C, x = 7.
Step-by-step explanation:
3x + 7 = 28
-7. -7
3x = 21
/3. /3
x = 7
Please help with this
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Answer:
15.4 square feet
Step-by-step explanation:
The area of the painting will be the area of the sketch multiplied by the square of the ratio of linear dimensions.
painting area = (0.24 square feet)(8^2) = 15.36 square feet
The area of the painting is about 15.4 square feet.
(1 point) Solve the following inequality, giving your answer in interval notation.
1 - x > 2
Answer:
-1
Step-by-step explanation:
1-x>2
-x>2-1
-x>1
-x/-1>1/-1
x<-1
Answer:
[tex]x < - 1[/tex]
Step-by-step explanation:
first step
try to leave x's in your left and number in your right
-x > 2-1
-x>1
step 2
by moving the sign minus to right it will become plus
and the inequality sign will change also
so x<-1
the region will ( - infinity to -1 )
[tex]( - \infty - 1)[/tex]
Which point represents the opposite of —5 on the number line?
Answer:
5 :)
Step-by-step explanation:
If arc AB = 107° and arc BC = 122°, find the value of x.
Answer:
the value of x is acb 133°
Maria needs to be at the airport terminal at 18:45. It will take 2 3/4 hours to drive to the airport from her home, and a further 40 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answer:
18:45
Step-by-step explanation:
Hi there, hope everyone is well and staying cool :D
Pls can you answer this question!
Brainliest, brainliest, brainliest.................
Pls send me your name first, then i will call you brainliest
The quickest and right answer gets to be brainliest and the rest I will thank you
ENJOY!!!!!!!!
Answer:
A) By using the Pythagorean Theorem, we will see that [tex]8^2 + 15^2 = 17^2[/tex]. If we simplify it, we will find that the hypotenuse of Δ[tex]ABC = 17[/tex]
B) approximately [tex]18.79[/tex]
Step-by-step explanation:
A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!
***Pythagorean Theorem is [tex]leg^2 + leg^2 = hypotenuse^2[/tex]
B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, [tex]8^2 + 17^2 = AD[/tex].
[tex]8^2 + 17^2 = 64 +289[/tex][tex]64 + 289 = 385[/tex][tex]\sqrt{385} \\[/tex] ≈ [tex]18.79[/tex]Hope you do well on the rest of your math problems :D
A park is rectangular with a length of 2/3
miles. If the area of the park is 3/9
square miles, what is its width? Input your answer as a fraction.
Answer:
Step-by-step explanation:
let : x the width
the area is 2/3 × x =3/9
x = (3/9)×3/2
x =1/2 miles
D is greater than E and less than C.
C and D are opposites.
At least one number is greater than A.
HELP
Answer:
?
Step-by-step explanation:
The length of segment GI is 8. True or false?
Answer: false
Step-by-step explanation: that’s what my teacher told me sorry if it’s wrong
Answer:
It is false
Definetely false
Dawn is baking an Apple pie she has a European recipe that calls for 1500 decigrams of sugar. how many cups of sugar will she need?
Answer:
she needs exactly 3 cups
Step-by-step explanation:
a) Work out 4 1/7+1 1/2
Answer:
5 9/14
Step-by-step explanation:
easy maffs
NO LINKS.
12 ÷ x = 36
Find x.
Answer:
x=1/3 or 0.3
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Answer:
Solution given:12 ÷ x = 36
x=12/36=1/3 is your answer
solve the equation
3b/7 -1 = 5
Answer:
b = 14
Step-by-step explanation:
The required solution to the equation 3b/7 - 1 = 5 is b = 14.
What is simplification?Simplification involves directions of arithmetic and algebra to remove disproportionate terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
Here,
To solve for b, we need to isolate b on one side of the equation.
First, we add 1 to both sides of the equation to get:
3b/7 = 5 + 1
Simplifying the right-hand side:
3b/7 = 6
Next, we multiply both sides by 7/3:
(7/3) * (3b/7) = (7/3) * 6
Simplifying:
b = 14
Therefore, the solution to the equation 3b/7 - 1 = 5 is b = 14.
Learn more about simplification here:
https://brainly.com/question/12501526
#SP3
Find the y-intercept and the axis of symmetry of:
f(x) = ax^2 + 8ax - 5
Answer:
y-intercept (0,-5) and AOS x = -4
Step-by-step explanation:
To find the y-int make x = 0 so f(0) = -5
The axis of symmetry (AOS) can be found by the equation x = -b/2a
So AOS = -8a / 2a, so AOS = -4 since b=8a and a = a
Find the value of y.
3 cm
5 cm
X
6 cm
у
2 cm
3 cm
y = [?] cm
Enter a decimal rounded to the nearest tenth.
Answer:
Step-by-step explanation:
2x11=22
3(3+x)
22=9x+3x
Subtract nine
13=3x
Multiply 13 by 3=13/3
Convert to decimal
Answer is:4.3
The minimum value of h(x) is 2 *
h(x) = 3(x + 1)^2 – 2
True or
False???
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Answer:
False
Step-by-step explanation:
The minimum value is -2.
CAN YOU GUYS PLS HELP WHAT GOES IN EACH BOX ITS OVERDUE :( IM ABT TO FAIL WILL GIVE BRAINLIEST
Answer:
18 days.
Step-by-step explanation:
Takes 6 days to eat 1 apple so multiply 6 by three to get your answer.
Answer:
18 days
Step-by-step explanation:
since the ratio is 3 days to 1/2 that would mean 6 days is to 1 apple, so if you just multiply 6 days by 3 you would get 18 days because you would need to find how many days for 3 apples.
Phoebe is 3 years less than half her brother’s age. Phoebe is 13 years old. Her brother is b years old. Write an equation that could be used to find her brother’s age.
plzzzzzz help
Answer:
dont know dont care
Step-by-step explanation:
u should pay more attention to what you lesson/teacher is teaching you
Solve this question for brainlest
Answer:
multiply is your answer
mark brainliest please :D
1/6 students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students. How many students are wearing shirts that arent blue or white?
Answer:
6 students are wearing shirts that aren't blue or white
Step-by-step explanation:
1/6 + 2/3 = 5/6
5/6 are wearing either blue or white so 1/6 isn't wearing blue or white
there are 36 student and 1/6 means 36 divided by 6
36 divided by 6 = 6
f(x)=-2x² + 3x-6, find f (3)
Answer:
f(3) = -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = -2x² + 3x - 6
f(3) is x = 3 for the function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6Exponents: f(3) = -2(9) + 3(3) - 6Multiply: f(3) = -18 + 9 - 6Add: f(3) = -9 - 6Subtract: f(3) = -15Answer:
f(3) = -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Algebra I
Functions
Function Notation
Step-by-step explanation:
Step 1: Define
f(x) = -2x² + 3x - 6
f(3) is x = 3 for the function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6
Exponents: f(3) = -2(9) + 3(3) - 6
Multiply: f(3) = -18 + 9 - 6
Add: f(3) = -9 - 6
Subtract: f(3) = -15
someone please help me answer this!!
Answer:
7.8 mi is the answer.
Step-by-step explanation:
a = 6 mi
b = 5 mi
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 5² = c²
36 + 25 = c²
c² = 61
c = 7.810
Round to the nearest tenth,
c = 7.8 mi
Take home pay is equal to
Answer:
gross income - ( required deductions + optional deductions )
Evaluate r^2−s^2, when r=12 and s=5.
Step-by-step explanation:
Given r = 12, s = 5,
[tex] {r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119[/tex]