![What Is The Measure Of Z? Z = [?]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/RJ6cRH9KQyJEBlRC5NfMphCljuUzuqZk.jpeg)
Answers
The measure of z in its simplest form is 3√11
We solve the triangle using pythagoras' theorem.
What is pythagoras' theorem?Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.
So, according to Pythagoras' theorem,
c² = a² + b²
The required equationsSince we have three right angled triangles, in the smallest right angled triangle, we have
z² = y² + 3² (1)
In the next larger right angled triangle, we have
x² = y² + 27² (2)
In the largest right angled triangle, we have
(3 + 27)² = z² + x²
30² = z² + x² (3)
Substituting (2) into (3), we have
30² = z² + x²
30² = z² + y² + 27²
30² - 27² = z² + y²
900 - 729 = z² + y²
171 = z² + y²
z² = 171 - y² (4)
Equating (1) and (4), we have
y² + 3² = 171 - y²
y² + 9 = 171 - y²
y² + y² = 171 + 9
2y² = 180
y² = 180/2
y² = 90
The measure of zSubstituting y² into (1), we have
z² = y² + 3²
z² = 90 + 9
z² = 99
z = √99
z = 3√11
So, the measure of z is 3√11
Learn more about pythagoras' theorem here:
https://brainly.com/question/654982
#SPJ1
Answer: first answer 3, 2nd answer 10.
Step-by-step explanation:
I just did the question on acellus
Related Questions
solve inequality: |7x+15|>-0.5
Answers
9514 1404 393
Answer:
true for all values of x
Step-by-step explanation:
The absolute value of a linear function is always at least 0, so is always greater than -0.5. The inequality is true for all real numbers.
state the domain and range of the function:
y = -(x+8)^2 +9
Answers
Domain: All real numbers (-infinity, infinity)
Range: [9, -infinity)
Math 1 Graded Assignment Unit Test, Part 21 Polynor
(Score for Question 3:___ of 5 points)
3. Multiply the polynomials (+3a-7) and (24 - a + 4). Simplify the answer. Show your work.
Answer:
Answers
Answer:
9a-3
Step-by-step explanation:
a^2=2a+3a=5a-7+4=5a-3+(4a-a)=3a+5a=9a-3
20,003x 6 using distributive property of multiplication
Answers
Answer:
360
Step-by-step explanation:
20.3 x 6
cuanto es 21:45 dividido a 7:15?
Answers
Answer:
Entraría 3 veces.
Step-by-step explanation:
Podemos probar esto encontrando el máximo común divisor entre 21 y 45
21: 1,3,7,21
45: 1,3,5,9.15,45
Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.
(-6,7) (0,3)
I'm having treble finding the slop I need the sem
Answers
Did you use the formula
gradient =
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
??
I'm not shear but i think that run to -6 then 3 is the correct sorry am learning it
Please someone draw where these are supposed to go on paper (WILL MARK BRAINLEST)
Answers
Answer:
youre not pretty jjdbfjjfkdksjsjd
Javier says that when you add a positive and a negative number the sum is always negative. is Javier or statement true or false explain your reasoning
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Above statement is incorrect, because if the positive number is equal to the numerical value of negative number then their sum will be zero, and If the numerical value of positive number is greater than that of negative number then the sum will be a positive number, so the probability is of both three, the sum can be positive, negative as well as zero.
Answer:
The above statement is false.
Explanation:
If the positive number is greater than the negative, then it will stay positive.
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply.
A. One pound of pistachios plus 1 pound of almonds cost $20.
B. The pistachios cost twice as much per pound as the almonds.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48.
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Answers
The options that are true include:
A. One pound of pistachios plus 1 pound of almonds cost $20.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Cost of almond = a
Cost of pistachios = a + 4
Therefore, based on the information given, the equation to solve the question will be:
2(a + 4) + 3a = 48
Collect like terms
2a + 8 + 3a = 48
5a = 48 - 8
5a = 40
a = 40/5
a = 8
Almonds cost $8
Pistachios cost $12
In conclusion, the correct options are A, C, and E.
Read related link on:
https://brainly.com/question/24429956
Witch of the following expressions are equivalent to 6+(-4)-5 A -(-6+4)-5 B 6-4-(-5) C 6-(4+5) D 6+4-5 E -(-6)+(-4)-(-5)
Answers
Answer:
c is your answer
Step-by-step explanation:
have a nice day!
What must be the length of PQ in order for AJKL to be
similar PQR
Answers
9514 1404 393
Answer:
(d) 18
Step-by-step explanation:
If ΔJKL ~ ΔPQR, then we must have ...
PQ/JK = QR/KL . . . . . ratios of corresponding sides are the same
PQ = JK×QR/KL = 12×9/6 = 2×9
PQ = 18
Answer:
18
Step-by-step explanation:
The scale factor for this is 1.5,
JL = PR
JL is 14, and PR is 21, 14 * 1.5 = 21
KL = QR
KL is 6, and QR is 9, 6 * 1.5 = 9
So we do the same for JK and PQ
Since PQ is 12, we need to find what 12 * 1.5 is.
12 * 1.5 = 18
PQ = 18
Find the missing dimension of the prism.
Answers
Answer:
10
Step-by-step explanation:
To find volume you have to multiply all 3 sides 7*8*x=560 = 56*x=560 we divide it by 56 and get x=10
What’s an equivalent fractions for 6/8 with a 20 as the new denominator
Answers
Answer:
15/20
Step-by-step explanation:
Divide your denominator by your previous/compared denominator (20/8) to find the number as your numerator. Take the found numerator (2.5) and multiply it times the compared numerator (2.5 x 6) giving your 15/20.
Hopes this helps!
What is reciprocal of 2 1/2
Answers
Answer:
0.4
Step-by-step explanation:
type in a calculator 1 divide by 2.5 to get the answer
I bought 3,000,000 shares at .000007. what would my gain be if it reached .01 .
Answers
If 1 share had an initial cost of $0.000007, then 3,000,000 shares would be worth
(3,000,000 shares) × ($0.000007/share) = $21
If the price increases to $0.01 per share, then the same number of shares would have a value of
(3,000,000 shares) × ($0.01/share) = $30,000
So you've gained a net profit of $30,000 - $21 = $29,979, which corresponds to a
$29,979 / $21 = 1,427.57 = 142,757%
increase in value.
Lindsey sold stationery to her family and her mother's friends shw deposited the $125 shw earned in a savings account. The account earns 5.18% interest annually. If she does not deposit or withdraw any money for 18 months how much will she have in her account
Answers
Answer:
$134.71
Step-by-step explanation:
A = P(1 + rt)
A = Amount after t months or years
P = Principal or amount saved
r = interest rate = 5.18% = 0.0518
t = time.in years = 18 months
= 1 year and 6 month
= 1.5 year
A = $125( 1 + 0.0518 × 1.5)
A = $125 ( 1 + 0.0777)
A = $125(1.0777)
A = $134.71
Question
A square has an area of 81 square inches. How long are its sides?
Someone please I need help ASAP !!
Answers
Since to find the area you multiply the sides, I did the square root of 81 which is 9 therefore each side must equal 9 as 9x9=81
Hope this helps !
Answer:
Step-by-step explanation:
it is like 9x9=81
but yeah like he said it is a square so all sides are the same
but that is if you want to find the parameter
this question is talking about area
so when a question gives you an area you ask yourself what can be multiplied by what in order to give me the area
or since all sides are the same like he said you could just do simple division and do 81/9 which will =9
and since the question mentions that the area is in square inches it is obvious that the answer would be put in inches
answer: 9 inches
Halla el 72% de 40 por favor ayúdenme a verificar si lo hice correcto
Answers
Can I get brainliest answer
Indicated operation? Perform it?
Answers
98
First you do the exponents.
11^2 = 121
-3^3 = -27
2^2 = 4
So now we have 121 - 27 + 4
And you just go left to right now
121 - 27 = 94
94 + 4 = 98
So the answer is
98
Hope this helps
Choose all the numbers that could be common denominators for 11/12 and 4/5.
Answers
Answer:
60
Step-by-step explanation:
list down the multiples of 12 and 5 to find the answer
HOPE THIS HELPS YOU
60 is the numbers that could be common denominators for 11/12 and 4/5.
What is multiplication?In mathematics, multiplication can be stated as a method of finding the product of two or more numbers. It is one of the important or primary arithmetic operations, that we use in everyday life.
here, we have,
given that,
11/12 and 4/5.
We have to do, the multiples of 12 and 5 to find the answer.
i.e. 12 * 5 = 60
so, 60 is the numbers that could be common denominators
Hence, 60 is the numbers that could be common denominators for 11/12 and 4/5.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
PLEASE ANSWER THIS AS SOON AS POSSIBLE.
Answers
Penny reads 10 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page?
Answers
it would probably be 7, since 1 hour and 30 minutes would be 90 minutes, and she read 10 pages in that long, it would most likely be one page every 10 minutes, but since she read 10 in 90 minutes and not 9, I believe we would add 1 extra page to the amount she read in one hour, and since one hour is 60 minutes, it would probably be 6 + 1, which is 7.
hopefully Im right and this was helpful.
Find the surface area 5 8 10
Answers
Answer:
340
Step-by-step explanation:
last time I got this type of question, I either just multiplied it or sum, try doing different methods if u can because I got this question right and I forgot how I did it, but I feel like I multiplied something
Answer:
340
Step-by-step explanation:
which is the result of the surface area
Z
What is m 2?
y
+
What is m 1?
1
4
13 16
2/3
>
14 15
х
5
75°
912
6
7
10 11
w
Answers
Answer:
M.2, formerly known as the Next Generation Form Factor, is a specification for internally mounted computer expansion cards and associated connectors. M.2 replaces the mSATA standard, which uses the PCI Express Mini Card physical card layout and connectors.
Step-by-step explanation:
This question does not make sense!
Find the perimeter P of
v
OJKLM
with vertices J(-3,-2), K(-5, -5), L(1, -5), and M(3,-2). Round your answer to the nearest tenth, if
necessary
Ť
P=
units
OCT
7
étv
A
W
Р
MacBook Air
12
0
!
A
11
3
$
4
%
5
&
7
4
8
2
9
o
Q
W
E
R
T
O
Р
lab
Answers
Answer:
P = 3.6 + 6 + 3.6 + 6 = 19.2 units
Step-by-step explanation:
distance between (-3,-2) and (-5,-5) =
Sqrt[(-5-3)^2+(-5 - -2)^2]
Sqrt (4+9) = 3.6
d = (-5,-5) and (1,-5) =
Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]
= sqrt (36 + 0) = 6
d = (1,5) and (3,-2)
Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]
Sqrt(4+9) = 3.6
d = (3,-2) and (-3,-2)
Sqrt[(-3-3)^2 + (-2 - - 2)^2]
Sqrt (36+0) = 6
PLEASE HELP !!
What's the domain and range of the exponential growth function?
Answers
Answer:
you have to multiply the dividend by 2x+9y/22y
Step-by-step explanation:
Find the least common denominator (LCD) of 5/8
and 1/4
Answers
Answer:
8
Step-by-step explanation:
1. 1/4 × 2/2 = 2/8 (denominator is 8)
2. 5/8 × 1 = 5/8 (denominator is 8)
Therefore, the common denominator is 8.
5/8=5/8 x 1/1=5/8
1/4=1/4 X 2/2 = 2/8
Round 0.0625 to the nearest hundredth
Answers
Because you take away the 2 and the 5 which makes it 0.06
Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
100 points!!!
Answers
Answer:
Solve for x: x < 1
Step-by-step explanation:
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
III
O SYSTEMS OF LINEAR EQUATIONS
At a basketball game, a vendor sold a combined total of 150 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of here