What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units
Answers
Complete Question:
The perimeter of triangle XYZ is 24 units. Triangle X Y Z is shown. The length of X Y is 3 and the length of Y Z is 11. Angle Y X Z is 102 degrees What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units
Answer:
14.7 square units
Step-by-step Explanation:
Given the triangle shown in the figure attached below, having the following measures:
<YXZ = 102°
Length of XY = z = 3
Length of YZ = x = 11
Length of XZ = y = ?
Perimeter of ∆XYZ = x+y+z = 24 units
Length XZ = y, would be 11+y+3 = 24
14+y = 24
y = 24 - 14
Therefore, y = 10
==>Required:
Area of ∆XYZ to the nearest tenth of a square unit
==>Solution:
Using the Trigonometric area formula, area of ∆XYZ = ½(yz)sin X
Plug in values for x, y, and sin X:
Area of ∆ XYZ = ½×10×3×sin 102
= ½×30×0.9782
= 15 × 0.9782
= 14.673
Area of triangle XYZ approximated to the nearest tenth = 14.7 square units
Related Questions
Solve the following quadratic equation.
(x - 16)^2 = 256
A. x = -32 and x = 0
B. x = 30 and x = -4
C. x = -30 and x = 4
D. x = 32 and x = 0
Answers
The answer is D. x = 32 and x = 0
============================================================
Explanation:
Think of x-16 as y. In other words, let y = x-16
We have (x-16)^2 = 256 become y^2 = 256.
Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.
--------
If y = 16, then y = x-16 solves for x to get
y = x-16
16 = x-16
x-16 = 16
x = 16+16
x = 32 is one solution
---------
Plug in y = -16 and isolate x
y = x-16
x-16 = y
x-16 = -16
x = -16+16
x = 0 is the other solution
----------
We can check each answer by plugging them back into the original equation
Let's try x = 0
(x-16)^2 = 256
(0-16)^2 = 256
(-16)^2 = 256
256 = 256 ... works
Now try x = 32
(x-16)^2 = 256
(32-16)^2 = 256
(16)^2 = 256
256 = 256 ... also works; both answers have been confirmed
The perimeter of an equilateral triangle is 120mm.
State the length of one of its sides.
Answers
Answer:
[tex]40 \:mm[/tex]
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
[tex]\frac{120}{3} =40[/tex]
Answer:
40mm
Step-by-step explanation:
Perimeter of an equilateral=3a
120=3a
a=120/3
a=40mm
Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. John, Robin's trainer, keeps close records of each of Robin's shots so he can tell if she is improving. The graph below is John's record of Robin's last three arrows, where (0,0) is the center of the bullseye.
Answers
Answer:
Arrow C.
Step-by-step explanation:
Out of three arrows, nearest arrow from the origin will be the best arrow.
Ordered pair for arrow A → (-5, 4)
Distance between A and bullseye = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}[/tex]
= [tex]\sqrt{(0+5)^2+(0-4)^2}[/tex]
= [tex]\sqrt{41}[/tex]
= 6.40 units
Ordered pair for arrow B → (5, -5)
Distance between B and bullseye = [tex]\sqrt{(0-5)^2+(0+5)^2}[/tex]
= [tex]5\sqrt{2}[/tex]
= 7.1 units
Ordered pair for arrow C → (-2, -6)
Distance between C and the bullseye = [tex]\sqrt{(0+2)^2+(0+6)^2}[/tex]
= [tex]\sqrt{40}[/tex]
= 6.32 units
Distance between C and the bullseye is the shortest.
Therefore, arrow C will be the best arrow.
Answer:
6.3 cm
Step-by-step explanation:
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting
Answers
Answer:
The answer is A, parallel.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
took the test
Which factors affect the strength of electric force between two charged objects?
Answers
Answer:
The first factor is the amount of charge on each object. The greater the charge is then the greater the electric force. The second factor is the distance between the charges. The closer together the charges are, the greater the electric force is.
Step-by-step explanation:
Hidaya runs each lap in 8 minutes. She will run less than 72 minutes today. What are the possible numbers of laps she will run today? Use n for the number of laps she will run today. Write your answer as an inequality solved for n.
Answers
Answer:
Step-by-step explanation:
n*8<72
:8 :8
n<72/8
n<9
n could be 1,2,3,4,5,6,7,8
A farmer harvested 21 1/4 fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is planted across 3 acres, what is the average loss per acre?
Answers
Answer: 85/12 fewer bushels per acre
Step-by-step explanation:
Hi, to answer this question we have to write an expression with the information given and solve it:
We simply have to divide the total loss (21 1/4) by the number of acres (3):
Mathematically speaking:
21 1/4 ÷3 = (21(4) +1)/4 ÷3 = 85/4 ÷ 3= 85/12 fewer bushels per acre
Feel free to ask for more if needed or if you did not understand something
The average loss per acre is [tex]7\frac{1}{12}[/tex]
The average loss per acre = difference in bushels harvested last year and this year ÷ total number of acres
[tex]21\frac{1}{4}[/tex] ÷ 3
In order to solve this question, the mixed number has to be changed to an improper fraction.
Steps to take :
1. Multiply the whole number by the denominator ( 4 x 21 = 84)
2. Add the numerator to the answer gotten in the previous step (84 + 1 = 85)
3. divide the number gotten in the previous step by the denominator (85/4)
[tex]\frac{85}{4}[/tex] ÷ 3
= [tex]\frac{85}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{85}{12}[/tex] = [tex]7\frac{1}{12}[/tex]
A similar question has been solved here: https://brainly.com/question/580268?referrer=searchResults
helppppppppppppppppppppppppp!
Answers
Answer:
The difference is 22.5 km
Step-by-step explanation:
CD = 4.5 cm
DE = 8 cm
-----------
12 .5 cm
CE = 5 cm
The difference is
12.5 - 5 = 7.5 cm
Then multiply by the scale factor
7.5 cm * 3 km /1 cm =22.5 km
Simplify the expression.
4(-8x + 5) - (-33x - 26) =
Answers
Answer: x=-46
Step-by-step explanation:
Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):
4(-8x+5)-(-33x-26)=0
-32x+20+33x+26=0
1x+46=0
x=-46
Hope that helps!
Answer:
x+46
Step-by-step explanation:
I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.
Hope this helped!
Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account.
Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.
451.89 minus c = 358.92
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
c = 3 (451.89 minus 358.92)
Answers
for ed, it should be:
B
C
D
if not, then idk what happened
The equations that represents the amount of one check are:
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
What equation represent the amount of one check?The equation that represents the amount of one check is:
Total amount in the account - total value of 3 checks = amount left
Total amount in the account - amount left = total value of 3 checks
Value of one check = (total amount in the account - amount left) / 3
$451.89 - 3c = $358.93
$451.89 - $358.93 = 3c
($451.89 - $358.93) / 3
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.
Answers
Answer:
Area of the sector in red = 177.87 cm²
Area of the sector in blue = 437. cm²
Step-by-step explanation:
Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]
Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]
= 437.87 cm²
Central angle formed by sector shaded in red = 360 - 256 = 104°
Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]
= 177.884
≈ 177.88 cm²
Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²
Please answer !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answers
Answer & Step-by-step explanation:
[tex]\frac{1}{4}(x+5)^2-1=3[/tex]
Add 1 to both sides.
[tex]\frac{1}{4}(x+5)^2=4[/tex]
Multiply both sides by 4.
[tex](x+5)^2=16[/tex]
Take the square root of both sides.
[tex]\sqrt{(x+5)^2} =\sqrt{16}[/tex]
[tex]x+5=4[/tex]
Subtract 5 from both sides.
[tex]x=-1[/tex]
What is the leading coefficient of 5-6x^4+8x^2-2x^3
Answers
Answer:
-6
Step-by-step explanation:
Rewrite the equation with the number that has the highest exponent in the front.
-6x^4 -2x^3 + 8x +5
The leading coefficient is the number beside the x value
In this case it is -6
Hope this helps plz mark brainliest!
A professor must randomly select 4 students to participate in a mock debate.
There are 20 students in his class. In how many different ways can these
students be selected, if the order of selection does not matter?
Answers
Answer:
Step-by-step explanation:
We can use combinations
20 choose 4:
20!/(16!*4!)
= (20*19*18*17)/4!
= 4845
Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?
Answers
Answer:
Figure A and B are still congruent to each other. the only change is the size of the shape.
Step-by-step explanation:
Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Suppose figure A underwent a dilation to produce figure B.
Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
if Dilation factor N then image Size is multiplied by N
if Scale factor < 1 then image get reduced
if scale factor > 1 then image get enlarged
scale factor = 1 lead to Same size image
Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
Learn more about the triangle visit;
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Can someone please help me
Answers
Answer:
1) D
2) B
3) A
4) D
Step-by-step Explanation:
1) 1,300,000
= 1.3 × 10⁶
2) 0.052
= 5.2 × 10⁻²
3) 4,500
= 4.5 × 10³
4) 0.00061
= 6.1 × 10⁻⁴
Each 6 students reported the number of movies they saw in the past year 18,14,18,14,19,9
Answers
Answer:
Average: Add all and divide by 6
that gives us 92/6 = 15.333... or 15
Median: order it:
9, 14, 14, 18, 18, 19
median is 16
2 averages
Median: 16
Average: 15.33.. or 15
Outlier: 9
4 (9x+6) = 36x - 7 what does x =
Answers
Which statements are true? Check all that apply. Magnitude is never a negative value. The magnitude of –1.9 is |–1.9| which is 1.9. The absolute value of a number is greater than its magnitude. The numbers –4 and 4 have the same magnitude. The magnitude of Negative two-thirds is less than the magnitude of Two-thirds.
Answers
Answer:
A, B, D
Step-by-step explanation:
The options are:
A. Magnitude is never a negative value
This is true because the magnitude is only a representation of the numerical value of a number. It is the distance of the number from the 0 point on the number line. It is the absolute value of a number.
Hence, the polarity of the number is not necessary.
B. The magnitude of –1.9 is |–1.9| which is 1.9
This is true because they have the same numerical value.
C. The absolute value of a number is greater than its magnitude
This is false because absolute value and magnitude of a number are the same.
D. The numbers –4 and 4 have the same magnitude
This is true. They have the same absolute value, hence, they have the same magnitude.
E. The magnitude of -2/3 is less than the magnitude of 2/3
This is false as already explained in C above.
Answer:
a b d
Step-by-step explanation:
Select the expression that represents the multiplicative inverse of -4. A. -(-4) B. C. 4 D. -4
Answers
Answer:
-1/4
Step-by-step explanation:
Multiplicative inverse is another word for reciprocal
It is the number you multiply by to get 1
-4 * x = 1
Divide each side by -4
x = 1/-4
x = -1/4
Answer:
- 1/4
Step-by-step explanation:
- 4 * x = 1
= - 1/4
Hope this helps!
4x + 3y - 8z
-5x + 7y + 10Z
(+) - 4x – 3y - 8z
Answers
Answer:
and 4x-5x-4x+3y+7y-3y-8z+10z-8z
-5x+7y-6z :this is the answer
Whenever there are _____________ in a set of data, the mean is not a good way to describe the data.
A. quartiles
B. modes
C. medians
D. outliers
Answers
Answer:
The answer is D because outliers are data far away from the main data set.
Answer:
d
Step-by-step explanation:
Please help me with this
Answers
Answer:
V of cylinder = V=πr^2h
V of rectangular prism = l*w*h
V of cylinder = 16 * 3.14 * 8
= 401.92
V of rectangular prism = 14 * 8 * 12
= 1344
Add = 401.92 + 1344
= 1,745.92
1,745.92 is the answer.Rounded the answer is C-1/3 multiplied by 1/4
Answers
Answer:
[tex] - \frac{1}{12} \\ [/tex]
Step-by-step explanation:
[tex] - \frac{1}{3} \times \frac{1}{4} \\ \\ = - \frac{1}{12} [/tex]
A certain pet store sells 6 times as many fish as kittens. It sells twice as many kittens as lizards. If the pet store sells 15 lizards a week, how many fish, kittens, and lizards does the pet store sell every week?
Answers
It sells twice as many kitten as lizards:
Kittens sold = 15 x 2 = 30 total kittens.
It sells 6 times the amount of fish:
Fish sold = 6 x 30 = 180 total fish.
Lizards = 15
Kittens = 30
Fish = 180
Answer:
They sell 225 pets each week.
Step-by-step explanation:
Let f be fish, k be kittens, and l be lizards.
[tex]f[/tex]÷6=[tex]k[/tex]
[tex]k[/tex]÷2=[tex]l[/tex]
If [tex]l=15[/tex], then:
[tex]k=30\\f=180[/tex]
180+30+15=225 pets
They sell 225 pets each week.
(I hope this isn't wrong but that answer seems wrong)
Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi
Answers
Answer:
d=6
Step-by-step explanation:
Answer: diameter is 6
Step-by-step explanation:
yo pleaseee help me w these!! marking brainiest!!!
Answers
D. x=4+/- √17
PLEASE HELP MEEE!!!!!!!True or False? A circle could be circumscribed about the quadrilateral below.
O A True
B. False
SUBMIT
Answers
Answer:
I have a feeling the answer is false
Step-by-step explanation:
If this is wrong please dont be mad :/
Yes, a circle can be circumscribed in quadrilateral.
What is cyclic quadrilateral?According to the definition, a cyclic quadrilateral is a quadrilateral that is encircled by a circle. It signifies that all four vertices of the quadrilateral are within the circle's perimeter.
A cyclic quadrilateral is a quadrilateral with all four of its vertices on a circle. It is also known as an inscribed quadrilateral.
We know that a cyclic quadrilateral is one in which the opposite angles of a quadrilateral amount to 180 and a circle can be inscribed.
The opposite angles add up to 180 in this example, indicating that it is a cyclic quadrilateral.
Learn more about this cyclic quadrilateral here:
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NOT TO SURE!! LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting
Answers
Answer:
C) Intersecting
Step-by-step explanation:
happy to help ya:)
Answer:
Is thier an answer that you can put as Perpindicular because that should be the right answer
Step-by-step explanation:
Perpendicular lines are two lines that intersect and form right angles
there are 48 cards in a pack and each card is either red or black.the ratio of the number of red cards to the number of black cards is 1:1.
8 red cards are removed from the pack
find the ratio of the number of red cards now in the pack to the number of black cards now in the pack
Answers
Answer:
2:3
Step-by-step explanation:
We know that there are 24 red and black cards in the 48 pack because their ratio is 1:1. When 8 red cards are removed we have 16 red and 24 black cards. The ratio of this is 16:24 which simplifies to 2:3.
The ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1
Calculation of ratioThe total amount of cards (red or black) in the pack is = 48
The ratio of the number of red cards to the number of black cards is = 1:1
The number of cards removed from the pack = 8
Therefore the total number of cards( red or black = 48 -8
= 40 cards
But to calculate the number of red card
= 1+1 = 2
40/2 = 20 red cards
The number of black cards
1+1 = 2
40/2 = 20 black cards
The ratio of red is to black cards = 20:20 or 20/20 = 1:1 or 1/1
Therefore the ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1
Learn more about ratio here:
https://brainly.com/question/2328454