Answer:
1 and 3 on edg
Step-by-step explanation:
The correct statements are YZ = 9 cm and XZ = 9√2
What is a right triangle?A triangle with one angle equal to 90° is called a right triangle.
Given that, a right triangle XYZ, with acute angles 45°, we need to determine the correct statements regarding the triangles,
Since, the acutes angles are equal, therefore, sides opposite to them will also be equal,
XY = YZ = 9 cm
Using the Pythagoras theorem,
XY² + YZ² = XZ²
XZ² = 9²+9²
XZ = √162
XZ = 9√2
The longest side is always opposite to the largest angle, which is XZ.
Hence, the correct statements are YZ = 9 cm and XZ = 9√2
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12. Given triangle ABC with sides a, b, and c
opposite angles A, B, and C, respectively,
determine which side is the longest if
MZA = 49°, mZB = 24°, and mZC = 107°.
If you need, construct this triangle on a sheet of paper.
side c
side a
side b
Impossible to determine
Answer:
Side c
Step-by-step explanation:
Generally triangles can be classified with respect to their sides, or their angles. And there is a relationship between the length of the sides and the measure of the opposite angles of a given triangle. The relationship is that; the longest length of side is the one that is always opposite to the greatest angle.
In the given question, the longest side given that m<A = 49°, m<B = 24°, and m<C = 107° of the internal angles of the triangle is side c. Since side c is opposite the greatest angle, <C.
A rectangle is twice as long as it is wide. The area of the rectangle is 50 ft. What is the length of the rectangle
Answer:
length=10 ft
width=5 ft
Step-by-step explanation:
10×5=50
10÷2=5
The Acme Insurance company has two types of customers, careful and reckless. A careful customer has an accident during the year with a probability of 0.01. A reckless customer has an accident during the year with a probability of 0.04. 80% of the customers are careful and 20% of the customers are reckless. Suppose a randomly chosen customer has an accident this year. What is the probability that this customer is one of the careful customers
Answer:The total probability that a random person has an accident in the given year is
.8×.01+.2×.04=0.016
The portion of that which is explained by careful drivers is .8×.01=.08. Thus the answer is
.8×.01.8×.01+.2×.04=.5
Thus it is equally likely that your accident victim was careful or careless.
Speaking informally, that's because, while it's four times more likely that a randomly selected driver is careful, it is one fourth as likely that a careful driver will have an accident, and the two
Step-by-step explanation:
Describe the pattern of the following sequence.
Answer:
The pattern is plus 3, then plus 5
Step-by-step explanation:
1. 1 + 3= 4
2. 4 + 5= 9
So, the pattern is, plus 3 then plus 5
. Determine f(4.5) for the function f(x) = 3x - 5 *
Algebra
f(4.5)=8.5
Plug in x as 4.5 and multiply it with 3. Then subtract 5 from the remaining result.
Answer:
f(4.5) = 8.5
Step-by-step explanation:
f(4.5) = 3x - 5
f(4.5) = 3(4.5) - 5
f(4.5) = 13.5 - 5
f(4.5) = 8.5
Hope that helped! You have to substitute x with 4.5 and then solve.
Which equation has infinite solutions?
a. 3x - 7 = 12x
b. 7(x + 5) = 5 + 7x + 30
c. 9 = 3/8y
d. -2(y + 3) = 2y + 10
Answer:
a 3x-7=12x
Step-by-step explanation:
=6.33333333
he height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower can be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. Which statement best describes the validity of these solutions?
Which graph below shows a function with a range of all real numbers greater than -2?
Answer:the second option
Step-by-step explanation: took it
help I only have till 11 I need HELP no links or you getting reported
A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals
Answer:
4%
Step-by-step explanation:
[tex]\frac{part}{entirety} *100[/tex]
[tex]\frac{397}{9925} *100 =4[/tex]
Using the diagram below, what is m< S to the nearest degree?
A) 64 degrees
B) 26 degrees
C) 67 degrees
D) 23 degrees
Answer:
C
Step-by-step explanation:
tan S = opposite / adjacent
S = tan -1 ( 120 / 52) = 66.57 degree ≅ 67
Charlie and Leo were playing with toy cars. Charlie said to Leo that if you give me one car, then i will have twice as many cars as you have. Leo said if charlie gives him a car, they will be equal. How many cars does each boy have? HELP IN PLAYING A BATTLESHIP GAME
Step-by-step explanation:
C + 1 = 2(L-1)
C +1= 2L -2
C- 2L = -3 ......(eq.1)
L+1 = C-1
C- L = 2 .....(eq.2)
by elimination :
C - 2L = -3
C - L = 2
________-
- L = -5
L = 5
C = 2+5 = 7
so, Leo has 5 cars and Charlie has 7 cars
Answer:
Charlie=7, Leo=5
Step-by-step explanation:
cant explain
How do you know when a number is being multiplied by a variable?
Answer:
A coefficient is a number multiplied by a variable.
Answer:
its being multiplied by a variable when it is being multiplied by a letter
Step-by-step explanation:
a variable is a symbol, usually a letter, that represents a number
Ex.
x in 5x (5 times x)
The school play is selling tickets where tickets for children are $3.50 each and tickets for
adults are $5.00 each. A total of 85 tickets were sold, raising a total of $377. Set up and solve
a system to determine how many of each type of ticket was sold.
Answer:
System of equations:
3.5c + 5a = 377
c + a = 85
Solved:
(53, 32)
Step-by-step explanation:
32 children's tickets were sold and 53 adults tickets were sold.
Which of the following transformations
carry this regular polygon onto itself?
Each of the five lines of symmetry can be used to map the pentagon to itself in reflection.
Which transformation will carry a regular Pentagon onto itself?A polygon can change without changing its shape when it undergoes a transformation. Examples include rotation, reflection, and translation. A figure's translation is a change in position that necessitates knowledge of both the direction and the distance. The picture is the final shape that emerges from a transformation.
Five lines of symmetry make up a regular pentagon. Each of the five lines of symmetry can be used to map the pentagon to itself in reflection. Rotate the point 144 degrees in order to convert (0, -2). As a result, the 144° transformation translates the standard pentagon with the coordinates (0, -2) onto itself.
Putting a point, line, or other shape on top of a line. A regular polygon needs to be reflected over a symmetry line in order to map onto itself.
Therefore, the correct answer is option c) Reflection across L.
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Martha’s biweekly gross pay is $1,000. Her deductions make up 23% of her gross pay. How much is deducted from her pay for a full calendar year?
$4,600
$5,980
$7,020
$9,420
ALL GIVE BRAINLY
Answer:
$5,980
Step-by-step explanation:
23% of $1,000 = $230
so, Martha's deductions for a full calendar year =
52/2 × $230 = $5,980
Use <, >, or = to fill in the blanks.
-7----- 0
Please help me!
Answer:
<
Step-by-step explanation:
Please help with this I don’t understand
Answer:
Area of his yard = 19680ft²
Fertilizer needed = 590.4 ounces
Step-by-step explanation:
Step 1 Find the area of his lawn
The question states that his lawn is a rectangle that measures 240 feet by 82 feet
To find the area of a rectangle we simply multiply the side lengths
Hence, area of his yard = 240 * 82 = 19680ft²
Step 2 find amount of fertilizer needed.
The question states that .03 ounces is used per square foot.
So to find the amount of fertilizer needed simply multiply total area by amount used per square foot.
19680 * .03 = 590.4
So we can conclude that John will need 590.4 ounces of fertilizer
An 8 in by 8 in square air vent is shown where AG = 8 inches. BF is the midsegment of AADG and CEis the midsegment of ADBF. Which of the
following is measure of CE2
Answer:
2
Step-by-step explanation:
if BF is the mid-segment of the triangle ADG then its measure will be half of the measure of AG so 0.5*8=4 by the (mid-segment theorem)
then CE is the mid-segment of triangle BDF, so its measure is will be half of BF, so 0.5*4=2
Answer:
CE = 2
Step-by-step explanation:
The midsegment is half the length of the third side of the triangle, then
BF = [tex]\frac{1}{2}[/tex] × DG = [tex]\frac{1}{2}[/tex] × 8 = 4 , and
CE = [tex]\frac{1}{2}[/tex] × BF = [tex]\frac{1}{2}[/tex] × 4 = 2
A spherical ball has a radius of 12 cm. The cost to cover the sphere is $0.05/cm^2. The total cost to cover the ball is:
Do not include units in your answer; if necessary use the pi button on your calculator or pi= 3.1416)
Answer:
Step-by-step explanation:
surface area of sphere=4πr²=4π×12²=576π
≈576×3.1416
≈1809.5616 cm²
cost to cover=1809.5616×0.05=$90.47808≈$90.48
Find the most important variable in the problem.
How long does it take to drive 341 miles at 63 miles per hour?
A. The total distance of the trip
B. The time it takes to complete the trip
C. The rate of travel
Answer:
B
Step-by-step explanation:
what is the point-slope equation of a line with slope -5 that contains the point (6, 3)
Answer:
y - 3 = - 5(x - 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 5 and (a, b) = (6, 3) , then
y - 3 = - 5(x - 6)
Given :-
Slope = -5 Point = (6,3)To Find :-
The point slope form of the line .Solution :-
As we know that the point slope form of the line is ,
→ y - y1 = m ( x - x1 )
where (x1 , y1) is the point m is the slope .→ y - 3 = -5( x - 6)
Hence the required answer is y - 3 = -5( x - 6 ) .
The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the sphere? Use 3.14 for .
Answer: [tex]11\ ft[/tex]
Step-by-step explanation:
Given
The volume of a sphere is [tex]5572.45\ ft^3[/tex]
The volume of sphere with radius r is given by
[tex]\Rightarrow \dfrac{4\pi r^3}{3}[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft[/tex]
Therefore, the radius is [tex]11\ ft[/tex]
What is the percent equivalent of 14.28? A. 1,428% B. 142.8% C. 14.28% D. 0.1428%
Answer:
1428%
Step-by-step explanation:
since 1=100%, in other words, multiplying it by 100, should get you the answer to positive numbers that have the same question. (I don't know about negative) so 14.28x100= 1428. Don't forget to add the percent sign! 1428%
Answer:
1428
Step-by-step explanation:
14.28 x 100
I need help with this one
Answer:
5
Step-by-step explanation:
584,772 rounds to 600,000
how do i do this and how do i show my work ?
The principal of a school district money from the schools budget to three Sports Cricket track and field and Nepal in The Rage of 432 if the total is $1,800,00,how much money will go to netball?
Answer:
[tex]NetBall = \$40000[/tex]
Step-by-step explanation:
Given
Let:
[tex]C \to Cricket[/tex]
[tex]T \to Track\ n\ Field[/tex]
[tex]N \to Netball[/tex]
[tex]C:T:N = 4:3:2[/tex]
[tex]Amount = \$180000[/tex]
Required
Budget for Netball
First, calculate the total ratio
[tex]Ratio = 4 + 3 +2[/tex]
[tex]Ratio = 9[/tex]
The ratio of netball is:
[tex]N =2[/tex]
So, the budgeted amount is
[tex]NetBall = \frac{N}{Ratio} * Amount[/tex]
[tex]NetBall = \frac{2}{9} * \$180000[/tex]
[tex]NetBall = 2 * \$20000[/tex]
[tex]NetBall = \$40000[/tex]
The 11th square number is 121. The sum of which consecutive 11 odd numbers
is 121
Answer:
So, we can write 121 as a sum of 1+3+5+7+9+11+13+15+17+19+21
which is equal to 121.
plz mark it as brainliest...
Question on image. (4)
will report answers out of question. Thank you
63°
Step-by-step explanation:
Since CD is a diameter, this means that
arcBD = arcCD - arcCB
= 180° - 54° = 126°
We know that the inscribed angle is half the intercepted arc, therefore angle BCD is given by
angle BCD = (1/2)arcBD
= 63°
How much does Juana have in liquid assets if her car is worth $5,500 and she has
$1,310 in a savings account and $683 in her checking account? (Hint: Is a car a liquid
asset?) help
Answer:
1993
Step-by-step explanation:
Something is liquid if you can easily convert it into cash
So something like a car is not liquid (because it takes time to sell the car)
but something like a checking account is liquid (because it's easy to widthdraw your money)
so we have
1310+683= 1993