Answer:
csc x = - [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Using the trigonometric identity
csc²x = 1 + cot²x
= 1 + (- [tex]\frac{4}{3}[/tex] )² = 1 + [tex]\frac{16}{9}[/tex] = [tex]\frac{25}{9}[/tex], thus
csc x = ± [tex]\sqrt{\frac{25}{9} }[/tex] = ± [tex]\frac{5}{3}[/tex]
Since 270° < x < 360° where csc x < 0 , then
csc x = - [tex]\frac{5}{3}[/tex]
A a=35
B a=-35
C a=28.5
D a=57
Answer:
B.) -35
Step-by-step explanation:
A 200-seat movie theater charges $3.00 for adults and $1.50 for children. If all seats were filled and total ticket income was $510.00, how many adults and children were in the audience? ( Use reduced row-echelon form). *
Answer:
ask your math teacher i rember learning this but froget ow
Step-by-step explanation:
Write equations with j own information:
Adult + child = 200
Adult = 200 - child
3.00 Adult + 1.50 child = 510
Combine equations:
3.00(200-child) + 1.50 child = 510
Simplify:
600 -3.00 child + 1.50 child = 510
600 - 1.50 child = 510
Subtract 600 from both sides:
-1.50 child = -90
Divide both sides by -1.50
Child = -90 / -1.50
Child = 60
There were 60 child seats sold and 140 adult seats sold.
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.
Answer:
100 units
Step-by-step explanation:
Lengths of diagonals:
PR = 14
QS = 48
Since all 4 sides are equal in length, it's a rhombus
Length of each side:
sqrt[(14/2)² + (48/2)²]
sqrt(625)
25
Perimeter = 4 × 25
= 100
The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.
What is the perimeter of the shape?The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,
a² = (14 / 2)² + (48 / 2)²
a² = 49 + 576
a² = 625
a = 25
Then the perimeter of PQRS will be given as,
P = 4a
P = 4 x 25
P = 100 units
The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.
More about the perimeter of the shape link is given below.
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In the diagram below, triangle A’B‘C‘ is a transformation of triangle ABC, and Triangle A”B”C” is a transformation of Triangle A’B’C’. Which of the following transformation will lead triangle ABC to triangle A”B”C”?
a) reflection followed by a rotation
b) translation followed by a rotation
c) translation followed by a reflection
Answer:
B. i think?
Step-by-step explanation:
what is the greatest common factor of 33,15
Answer:
The answer is 3
Step-by-step explanation:
Please help will be greatly appreciated
Answer:
Step-by-step explanation:
Hands you please help
Given:
EM, EQ-secants
Prove: MP·EW=WQ·EP
Answer:
Step-by-step explanation:
A secant is a straight line from a point outside a given circle that passes through two points on its circumference.
From the given diagram, EM and EQ are secants.
Thus,
<PEW ≅ <WEP (common angles)
<EMP ≅ <EQW (secant-chord theorem)
<WMP ≅ <PQM (inscribed angles of arc WP)
Therefore,
[tex]\frac{EW}{WM}[/tex] = [tex]\frac{EP}{PQ}[/tex] (corresponding sides of a triangle)
This implies that,
EW*PQ = EP*WM
Therefore,
MP*EW = WQ*EP (properties of a similar triangle)
Three listening stations located at (3300, 0), (3300, 4400), and (-3300, 0) monitor an explosion. The last two stations detect the explosion 4 seconds and 4 seconds after the first, respectively. Determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)
Answer:
hang gang ok
i10 Njan malayalam verupikkal is my job
(1/3)^3 Evaluate the expression. This question is designed to test your intelligence.
Answer:
1/27
Step-by-step explanation:
That means
1/3 * 1/3 * 1/3
1/9 * 1/3
1/27
Answer:
1/27
Step-by-step explanation:
(1/3)^3
1/3*1/3*1/3
1/27
ASAP PLS
How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =
Answer:
48π
Step-by-step explanation:
The radius is 4 and the height is 9
V=1/3*π 4^2*9
Simplify:
48π
Someone please help me!
Answer:
18.5
Step-by-step explanation:
You are given the opposite side, and need to find the hypotenuse, leading you to use sine.
Set it up, like so:
[tex]sin67=\frac{17}{x} \\[/tex]
Multiply everything by x, to remove it from the denominator:
[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]
Divide both sides by sin67:
[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]
Round to nearest tenth:
x = 18.5
there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet
Answer:
divide the number of inches by 12
Step-by-step explanation:
Can someone help me? Thanks! :)
Answer:
75 is the length of the third side
Answer:
The unknown side to the triangle is 75 cm.
Step-by-step explanation
Let x be the length of the unknown side:
x^2 + 40^2 = 85^2
x^2 + 1600 = 7225
x^2 = 7225 - 1600
x^2 = 5625
x = 75
Insert parentheses to make the statement true. 12 + 6 × 11 − 7 = 72 A. 12 + ( 6 × 11 ) − 7 = 72 B. 12 + 6 × ( 11 − 7 ) = 72 C. ( 12 + 6 ) × 11 − 7 = 72 D. ( 12 + 6 ) × ( 11 − 7 ) = 72
Answer:
D hope this help :)
Step-by-step explanation:(☞ﾟヮﾟ)☞☜(ﾟヮﾟ☜)
(12 + 6) × (11 − 7) = 72, is equal to 72 is a True statement.
The correct option is D.
To make the statement true by inserting parentheses, we need to follow the correct order of operations (also known as the PEMDAS or BODMAS rule).
According to this rule, multiplication and division should be performed before addition and subtraction.
Let's examine the options:
A. 12 + (6 × 11) − 7 = 72
B. 12 + 6 × (11 − 7) = 72
C. (12 + 6) × 11 − 7 = 72
D. (12 + 6) × (11 − 7) = 72
To determine the correct option, let's evaluate each expression:
A. 12 + (6 × 11) − 7 = 12 + 66 − 7 = 71 (not equal to 72)
B. 12 + 6 × (11 − 7) = 12 + 6 × 4 = 12 + 24 = 36 (not equal to 72)
C. (12 + 6) × 11 − 7 = 18 × 11 − 7 = 198 − 7 = 191 (not equal to 72)
D. (12 + 6) × (11 − 7) = 18 × 4 = 72
Thus, (12 + 6) × (11 − 7) = 72, is equal to 72 is a True statement.
Learn more about PEDMAS here:
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If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?
HELP ASAP PLEASEEEE!
Answer:
it is c
Step-by-step explanation:
I need the answer to this question
The diameter of a circle is 8 cm. Which equation can be used to find its circumference? WILL MARK BRAINLIEST
A. C =π×88
B. C=π × 4
C. C = 16×π
D. C=π × 8
Answer:
The equation is D. C= π × 8.
Step-by-step explanation:
Simplify, using the distributive property and then combining like terms. 5c+2(10−c)
Answer:
3c +20
Step-by-step explanation:
5c+2(10−c)
Distribute
5c+ 20 -2c
Combine like terms
3c +20
Answer:3c+20
Step-by-step explanation:
Distribute
5c+(2)(10)+(2)(-c)
5c+20+-2c
Combine Like Terms:
(5c+-2c)+(20)
3c+20
Hope I helped:)
Maria’s height while jumping on a trampoline can be given by the equation: -16^2+16x+5
Answer:
-207.507490745
Find the area of the rhombus.
Answer:
Area of rhombus = 24 m²
Step-by-step explanation:
Diagonal of rhombus is given as:
[tex] D_{1} [/tex] = 6 m
[tex] D_{2} [/tex] = 8 m
[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 \times 8}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24 {m}^{2} [/tex]
find the area of the trapezoid could you go
Answer: 11.31372
Step-by-step explanation:
Find the height using pythagorean theorem1+b^2=9
you should get radical 8
2. Then plug your values into the formula and you get your answer
Select all correct conversions.
53 km = 5,300 m
23 cm = 2.3 mm
15 m = 1,500 cm
79 m = 0.079 km
117 mm = 0.117 m
(Which ones are correct?)
The correct conversions are:
15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?It is a multi-step process that involves multiplication or division by numerical factor, selection of the correct numbers of significant digits, and rounding.
Equivalent Measurements:
[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]According to the given question:
53km=53×1000m=53000m (1km=1000m)23cm=23×10mm=230mm (1cm=10mm)15m=15×100cm=1500cm (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex] (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex] (1mm=[tex]\frac{1}{100} m[/tex])Hence, the correct conversions are
15m=1,500cm79m=0.079km117mm=0.117mLearn more about the unit conversion here:
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Can I get an example of systems of equations that represent the solution of this situation below? (It doesn't need to be solved.) Thank you! ^ ^
"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito)
Answer:
x + y = 11
10x + 5y = 80
Step-by-step explanation:
Answer the MATH question pleaaseee
Answer:
25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Since there are 4 and only 1 is write that is a 1/4 change of guessing correct. 1/4=.25=25%.
Vector bought 15.6 pounds of paintballs. All
together, the balls cost $35.99. About how
much did the paintballs cost per pound?
Answer:
$2.31
Step-by-step explanation:
$35.99/15.6=$2.31
Shirley measures the thickness of the sides of a cardboard box using a ruler that has centimeter and inch marking
is most likely the value that Shirley measures?
A.
3.0 in
New
B.
3.0 mm
OC.
2.85 mm
OD
0.118 in
what are the dimensions of a square with a perimeter of 48 inches
Answer:
Each side is 12 inches long. The area is 144 square inches.
Answer:
12 by 12 inches
Step-by-step explanation:
12 times 4 (congruent) sides =48
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137
Answer:
The probability that exactly half of the colonies will thrive = (1/3) = 0.3333
Step-by-step explanation:
The list of random numbers simulates the out comes of 4 colonies.
Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?
The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.
Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.
The 6 trials are given as
4285; 3 colonies thrive, 1 doesn't.
6903; 3 colonies thrive, 1 doesn't.
3829; 2 colonies thrive, 2 don't.
7871; 1 colony thrives, 3 don't.
2868; 2 colonies thrive, 2 don't.
5137; 3 colonies thrive, 1 doesn't.
The number of trials where exactly 2 colonies thrive = 2
The total number of trials = 6
The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333
Hope this Helps!!!
Mick is planning a party. He wants to serve pizza, chips, and soda Mick discovers that he can purchase one pizza for $11.80, one
bag of chips for $1.59, and one bottle of soda for $1.74. If Mick needs 12 pizzas, 15 bags of chips, and 15 sodas, which is a reasonable amount that he will spend on food for the party?
A. $204.00
B. $84.00
C. $58.00
D. $246.00
Answer:
A. $204.00
Step-by-step explanation:
Pizzas: 11.80*12=141.6
Chips: 1.59*15=23.85
Sodas: 1.74*15=26.1
Equation: 141.6
23.85
26.1
_______+
191.55 closest to $204.00
