Answer:
62 degrees
Step-by-step explanation:
Since we know 3 sides of the triangle, we can use law of cosines.
[tex] {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) [/tex]
[tex] {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) [/tex]
[tex]64 = 289 + 225 - 510 \times \cos(h) [/tex]
[tex]64 = 314 - 510 \times \cos(h) [/tex]
[tex] - 250 = - 510 \times \cos(h) [/tex]
[tex] \frac{250}{510} = \cos(h) [/tex]
[tex] \frac{25}{53} = \cos(h) [/tex]
Take the arcos or cosine inverse
[tex] \cos {}^{ - 1} = \frac{25}{53} [/tex]
Which is about 62 degrees.
Someone help plsss im newww tysm if you do!
Answer:
-36/6 is equal to -6
The first step is to divide -36/6 by the denominator, 6.
-36/6 ÷ 6 = -6/1 or -6
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Answer:
Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits
Step-by-step explanation:
WILL GIVE BRAINLIEST FOR ANSWER Find the area of the shaded polygons.
Answer:
7.74 cm2
Step-by-step explanation:
We need to find the area of both the square and the circle and then subtract the two. Inscribed means draw within a figure so as to touch in as many places as possible. So the circle is drawn inside the square. The opposite is circumscribed, meaning drawn outside.
Asquare = s2 = 36 cm2 so the side is 6 cm
6 cm is also the diameter of the circle and thus the radius is 3 cm
A circle = πr2 = 3.14 * 32 = 28.28 cm2
The resulting difference is 7.74 cm2
Answer this question to get marked as brainliest!!!
Which expression is represented by the model?
Help me I’m struggling
I am not sure how to do the "Two different approaches" but I can tell you the answer.
(750-182.9) divided by 5.35 = Number of pizzas left to sell = 106
106 = answer
Hope this helped! If it did, please give brainliest! It would help a lot :D
Find two positive consecutive integers such that the square of the first added to three times the second is 24
Answer:
3 and 5
Step-by-step explanation:
Let the two consecutive odd integers be x and x + 2.
Now,
The given statement is
[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]
Taking x=3.
Hence, two consecutive odd integers are 3 and 5.
c) 2 /3 parts of a tank contains 80 litre of water. How much water does 3/8 parts
of the tank contain?
Answer:
45 litres
Step-by-step explanation:
Let the whole tank contains x litres of water.
Therefore,
[tex] \frac{2}{3} x = 80 \\ \\ x = 80 \times \frac{3}{2} \\ \\ x = 40 \times 3 \\ \\ x = 120 \\ \\ \frac{3}{8} x = \frac{3}{8} \times 120 \\ \\ = 3 \times 15 \\ \\ = 45 \: liters[/tex]
Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip took them 14 hours how many hours did Landon Drive
Answer:
9 hours
Step-by-step explanation:
Let :
Landon hours = x
Ben hours = y
x + y = 14 - - (1)
60x + 56y = 820 - - - (2)
From (1)
y = 14 - x
60x + 56(14 - x) = 820
60x + 784 - 56x = 820
4x = 820 - 784
4x = 36
x = 36/4
x = 9
Landon drove for 9 hours
What is the missing value in the table below?
Answer:
11
Step-by-step explanation:
determine two pairs of polar coordinates for the point (4, -4) with
Answer:
(4√2cos 135, 4√2sin135)
Step-by-step explanation:
determine two pairs of polar coordinates for the point (4, -4) with
Given the rectangular coordintate
r = √4²+(-4)²
r = √16+16
r = √32
r = √16*2
r =4√2
Theta = arctan(-4/4)
theta = arctan(-1)
theta = -45
theta = 180 - 45
theta = 135 degrees
x = rcos theta
y = rsin theta
x = 4√2cos 135
y = 4√2sin135
Solve 15=3p/6 Need some help
Answer:
p =30
Step-by-step explanation:
[tex]15 = \frac{3p}{6} [/tex]
[tex]15 \times 6 = 3p[/tex]
[tex]90 = 3p[/tex]
[tex]30 = p[/tex]
Select the graph of the quadratic function g(x) = 2x2. Identify the domain and range
Answer:
Step-by-step explanation:
None of them are correct. The closest is D.
The domain is all real x or (-∞, ∞)
The range is [0, ∞).
Choose the expression that shows P(X) = x3 + 5x2 + 11x + 10 as a product of two factors.
A. 2x(x2 + 3x + 3)
B. (x + 1)(2x2 + 3x + 6)
C. (2x + 3)(x2 + x + 2)
OD. (X + 2)(x2 + 3x + 5)
Answer:
D
Step-by-step explanation:
X3+3x2+5x+2x2+6x+10
Collect like terms
X3+5x2+11x+10
The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Now,
Solve the expression for the factors as;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Since, -2 is the solution of the expression.
Hence, (x + 2) is one of the factor of the expression.
So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)
by (x + 2), we get;
x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5
x³ + 2x²
--------------
3x² + 11x
3x² + 6x
------------------
5x + 10
5x + 10
--------------------
0
Thus, The second factor = (x² + 3x + 5)
Therefore,
x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)
Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
Learn more about the mathematical expression visit:
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(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how much total will he have paid after three years?
Answer:
The total amount that he would have paid after 3 years is $1183.
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
I represents interest paid on the amount owed.
P represents the principal or initial amount owed.
R represents interest rate
T represents the duration for which the amount was owed in years.
P = $795
R = 16.25
T = 3 years
I = (795 × 16.25 × 3) ÷ 100
I = $388
Total amount that he would have paid after 3 years is $795 + $388 = $1183
The total amount that he would have paid after three years would be $1183.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
The given data as per the question
P = $795
R = 16.25
T = 3 years
Simple interest = P × R × T
Substitute the values,
Simple interest = (795 × 16.25 / 100 × 3)
Simple interest = (795 × 0.1625 × 3)
Simple interest = $388
The total payback amount : $795 + $388 = $1183
Therefore, the total amount that he would have paid after three years is $1183.
Learn more about the simple interest here:
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what is a equation????
answer: an equation is a set of numbers put together within a problem that you are meant to solve in order to receive the final answer.
BRAINLY POINT CHALLENGE PART TWO
Answer:
D. 12 by 12 inches
Step-by-step explanation:
36*36= 1296
100*44= 4400
50*22= 1100
none of these answers equal 144 except for 12*12
hope this helps <3
Find the median for each set of data. Round to the nearest tenth if necessary.
15, 42, 28, 32, 30, 34
A) 35
B) 37
C) 30
D) 31
Answer: The answer I got was D) 31
Step-by-step explanation:
Hope this helps!!!!!
Question 1: How much fabric is needed for a round table cloth?
Assume the radius is 10 inches. How much fabric would you need?
Answer:
50 yards because of the roundness of the table
Is 2/3 bigger that 4/7?
First, convert. Least common multiple of 3 and 7 is 21.
2x7=14 3x7=21.
4x3=12 7x3=21.
The new fractions are 14/21 and 12/21.
Which is bigger?
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hope it helps
HEEEEEELLLLLLPPPPPPP MEEEEEEEEEE
Answer:
y=6
Step-by-step explanation:
-4 + 3y =14
3y= 18
y=6
Answer:
ok if x= -4 then you can rewrite the equation
-4+3y=14
then you solve the problem and you will get
y=6
hope this helped, can I please have brainiest
6) Triangle RST has vertices R(2,3), S(5. -1), and T(3, -4). The triangle is rotated 90° counterclockwise about the origin. Which are the coordinates of the image of vertex T?
Answer:
T'(4, 3)Step-by-step explanation:
The rule of 90° counterclockwise rotation about the origin:
(x, y) → (-y, x)Apply the rule to the point T:
T(3, -4) → T'(4, 3)Answer:
A(x,y)____rotation through 90°. >A'(-y,x)
Step-by-step explanation:
T(3,-4))____rotation through 90°. >T'(4,3)
R(2,3))____rotation through 90°. >R'(-3,2)
S(5,-1))____rotation through 90°. >S'(1,5)
Question 9: What does x equal?
26
Step-by-step explanation:
3x + 2x = 50 = 180
5x = 130
x = 26
3. A pair of tennis shoes cost $48.60 including sales tax. If the sales tax rate is 8%, what is the cost of the tennis
shoes before the tax is added?
Answer:
The answer for it is 44.71
Find the common difference of the arithmetic sequence 8, 17, 26, 35,
Answer:
The answer is 9
Step-by-step explanation:
What is the factorization of the polynomial below? 3х2 + 30x + 48
Answer:
3(x+2)(x+8)
Step-by-step explanation:
Answer:
[tex]3(x+8)(x+2)[/tex]
Step-by-step explanation:
[tex]3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)[/tex]
Gabriela has an average daily balance of $232.94 on her credit card. Her card charges 9.25% annual interest. What will her monthly finance charge be?
$9.25
$21.60
$1.80
$0.78
Answer:
Step-by-step explanation:
B
Answer:
C
Step-by-step explanation:
$232.94 * 9.25% = 21.54694
21.54694 rounds up to 21.55
21.55/12 = 1.7958333333
1.7958333333 rounds up to 1.80
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This is a late answer but other people might need it :)
I put B as my answer and I got it wrong, I tried again and put C and got it right.
PLSSS HELPPP ASPPPPPPPPPP
Answer:
question 2: exponential, question 3 is linear, also there is a site called desmos and that has a scientific calculatior and graphing calculator, the graphing calculator can help you with questions like these, all you have to do is put the points
HELP PLS THIS IS DUE TODAY (I WILL BE MARKING BRAINLIEST)
Answer:
1) <
2) >
3) =
4) >
5) =
6)<
HELPPP!! CLICK ON PICTURE!!
Answer: 84.5 units^2
Sides are 13 since the hypotenuse is 13\sqrt{2}.
Area of Triangle: 1/2 b x h
1/2 13 x 13 = 84.5