Answers
Answer:
Options (2) and Option (1)
Step-by-step explanation:
Area of the ΔXYZ = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(XZ)h[/tex]
= [tex]\frac{1}{2}(18)h[/tex]
By applying sine rule in the ΔYPZ,
sin(38°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(38°) = [tex]\frac{h}{14}[/tex]
h = 14[sin(38°)]
Therefore, area of the given triangle = [tex]\frac{1}{2}(18)(14)sin(38)[/tex]
By applying sine rule in ΔYPZ,
sin(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(58°) = [tex]\frac{h}{10}[/tex]
h = 10sin(58°)
Area of ΔXYZ = [tex]\frac{1}{2}(18)(10)sin(58)[/tex]
Therefore, Options (2) and Option (1) are the correct options.
Related Questions
HELP QUICK PLZ! NO SPAM.
XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?
Answers
Answer:
X (15, −8) → X ′(9, −3) → X ″(9, 3);
Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);
Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)
Step-by-step explanation:
Use the translation vector <−6, 5> to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).
Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .
X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).
Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).
Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).
To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).
Apply the reflection rule to the vertices of △X'Y'Z'.
X' (9, −3) → X'' (9, 3).
Y' (7, 26)→Y''(7, −26).
Z' (−23, 22) → Z'' (−23, −22).
Therefore,
X (15 ,−8) → X' (9, −3) → X'' (9, 3)
Y (13, 21) → Y' (7, 26) → Y'' (7, −26)
Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)
represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis.
if all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?
A The new volume is 2 times the old volume.
B. The new volume is 4 times the old volume.
c. The new volume is 8 times the old volume.
D. The new volume is 9 times the old volume
Answers
Answer:
The new volume is 4 times the old volume ♡
Name: Carl Seelig, single, 3 exemptions
Commission: 37.5%
Total Sales: $635.00
Wage for Week: $
FICA Tax (7.05%): $
Federal Tax (from Table): $
State Income Tax (at 1.5%): $
City Income Tax (3.2%): $
Total Tax: $
Paycheck after Taxes: $
Answers
Wage for Week: $ 238.13
FICA Tax (7.05%): $ 16.79
Federal Tax (from Table): $ 35.20
State Income Tax (at 1.5%): $ 3.57
City Income Tax (3.2%): $ 7.62
Total Tax: $ 63.18
Paycheck after Taxes: $ 174.95
ANSWER THIS ASAP NO FILE AT ATT!!
Answers
Answer:c
Step-by-step explanation:
Just flip it backwards which one looks the same
6+2(3x4) divide 2 + 3-4
Answers
Step-by-step explanation:
hope it is helpful to you
The Sine Function
Choose the graph of the following function:
f(x) = -2 sin(x)
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Please select the best answer from choices provided
Answers
Answer:
D. Graph D
Step-by-step explanation:
I calculated it logically
What is the interquartile range?
3
2.5
6
2
Answers
The interquartile range depicted in the box plot is 2.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. The first quartile is the first line on the box. The third quartile is the third line on the box.
The interquartile range = 4.5 - 2.5 = 2
To learn more about interquartile range, please check: https://brainly.com/question/3966385
#SPJ1
Five-sixths of the students in a math class passed the first test. If there are 36 students in the class, how many did not pass the test? *
Answers
select all the ordered pairs that satisfy the function y=8r+20
Answers
Answer:
r= 1/8 y + -5/2
Step-by-step explanation:
Plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value. true of false
please I need help
Answers
A. You work 30 hours a week. You need to earn $234 to cover your weekly expenses. Your dog-walking job pays $8 per hour and your job at the car wash pays $7.5 an hour. Write a system of linear equations to represent the situation.
Answers
Answer:
Line all of the numbers up
Step-by-step explanation:
You have $234 to cover all of your weekly expenses (bills, food, ect.) Your dog walking job pays (gives you) $8 per hour, the car wash job pays $7.50 an hour.
Please help, I don’t understand this.
Solve y=(x-3)^2
Please show all work!
Answers
Answer:
[tex]y=(x-3)^{2}[/tex]
Step-by-step explanation:
Direction: Opens Up
Focus: ( 3, 1/4)
Axis of symmetry: x=3
Directrix: y=-1/4
Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.
PLS HELP I DONT KNOW WHAT TO DO.
Answers
Answer: 36 and 22 A=396
Step-by-step explanation:
half of 1 diagonal is 18, so the whole diagonal is 36
the other diagonal half is 11 so the whole is 22
put 36 and 22 into the boxes
then solve
[tex]A=\frac{1}{2} (36*22)\\A=396[/tex]
Answer:
A = 99 in²
Step-by-step explanation:
Using the given formula with d₁ = 18 and d₂ = 11 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 11 = 9 × 11 = 99 in²
what is the volume of the cylinder?
Answers
Answer:
[tex]\pi {r}^{2} h[/tex]
r=5
h=4
Due soon pls help - who ever answers get brainiest !
Answers
Answer:
D if it helps
Step-by-step explanation:
Find the value of 5!
O A. 3125
O B. 20
O C. 120
OD. 25
Answers
Answer:
The answer is 120
Step-by-step explanation:
5! = 120
Thus, The answer is 120
-TheUnknownScientist
g Around 20 years ago, the CDC learned of an outbreak of gastrointestinal illness in several Georgia elementary schools. The CDC began their investigation by examining a random sample of 452 children. Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria. On the other hand, only 20 of the remaining 148 who did not eat burritos became ill. (a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.
Answers
Answer:
The point estimate is 0.342.
Step-by-step explanation:
Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria.
This means that:
[tex]p_B = \frac{145}{304} = 0.477[/tex]
On the other hand, only 20 of the remaining 148 who did not eat burritos became ill.
This means that:
[tex]p_{NB} = \frac{20}{148} = 0.135[/tex]
a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.
The point estimate is the subtraction of the sample proportions. So
[tex]p = p_N - p_{NB} = 0.477 - 0.135 = 0.342[/tex]
The point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness is 0.342.
PLEASE help fast with attached question!! Thanks!
Answers
Answer: I thihnk it's 1x10^-2
Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small
Find the reference angle! I NEED HELP ASAP PLS!
Answers
Answer:
60°
Step-by-step explanation:
360 - 300 = 60
Hope this helps!
The base of a triangle is 5 cm greater than the height. The area is 18 cm. Find the height and the
length of the base.
The height of the triangle is
cm.
The base of the triangle is
cm.
Answers
Answer:
h = 4cm
b = 9cm
Step-by-step explanation:
Animals in an experiment are to be kept under a strict diet. Each animal should receive 60 grams of protein and 9 grams of fat. The laboratory technician is able to purchase two food mixes: Mix A has 30% protein and 6% fat; mix B
has 50% protein and 5% fat. How many grams of each mix should be used to obtain the right diet for one animal?
One animal's diet should consist of grams of Mix A
Answers
Answer:
hey there buddy
Step-by-step explanation:
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
4
8
Оооо
32
64
Answers
Answer:
64
Step-by-step explanation:
Answer:
D 64
Step-by-step explanation:
The person above me is correct. Got it right on Edge 2021
What is this pls help me 1/3 times 3/7
Answers
Answer:
2/21
Step-by-step explanation:
2/21 is the answer...........that is the fraction......
x+1/3=3/7
x=3/7-1/3
LCM=21
x=9/21-7/21
x=2/21
Write an equation which has 8 as its solution.
Answers
Answer:
look at the picture i sent......
Help will give branliest
Answers
Answer:
They make heart shapes! hearts look like <3
Can somebody please help me out please my grads are bad
Answers
Triangle B-Right
Triangle C-Obtuse
Triangle D-Acute
Finding missing angles
Answers
Answer:
sorry i just want to get points
What is the solution to the system of equations?
y = x +3
X=-2
Answers
Answer: (-2, 11/6)
Step-by-step explanation:
Help pls, Yes or no
Answers
Answer:
Yes
Step-by-step explanation:
The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.
Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.
Therefore we can see that they can be proved congruent by the HL Theorem.
Evaluate 5x when x =8
Answers
Answer:
5x
= 5(8)
= 40
I hope I've helped