Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:
[tex] L^{2} = H^{2} + B^{2} [/tex]
Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:
[tex] H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm [/tex]
2. The two equal angles (θ) can be found using the following trigonometric identity:
[tex] cos(\theta) = \frac{B}{L} [/tex]
[tex] \theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ} [/tex]
Hence, the two equal angles are 44°.
I hope it helps you!
lol please help me !
Answer: (a + 2)(a - 2) which is the first answer choice
=========================================================
Explanation:
Use the difference of squares factoring rule which is x^2 - y^2 = (x+y)(x-y)
In this case, x = a and y = 2
x^2 - y^2 = (x+y)(x-y)
a^2 - 2^2 = (a+2)(a-2)
a^2 - 4 = (a+2)(a-2)
Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12
Answer:
it's 12 cuz 36 divided by 3 is 12
What is the apparent solution to this system of equations?
(Write your answer as an ordered pair)
3
N
1
-2
2
3
5
- 1
-21
-5
10 km=---------miles
Answer:
10000
Step-by-step explanation:
because 1 km =1000 m
At a grocery store a 12 pack of 10.75 ounce cans of soup is sold for 15.65 there are 128 oz in a gallon determine the price per gallon round to the nearest cent
The square root of 83 can be plotted on the number line below,
+
8.5 8.6 8.7 8.8 8.9 9,0 9,1 9,2 9,3 94 9,5
Use the drop-down menus to explain where 83 should be plotted on the number line, Click the
arrows to choose an answer for each menu,
The square root of 83 to the nearest tenth is Choose.... · The square root of 83 to the
nearest hundredth is Choose... On the number line above, 83 should be plotted
slightly to the choose... of Choose...
sdUse the drop-down menus to explain where 83 should be plotted on the number line, Click the
Step-by-step explanation:
Answer: 9.1, 9.11, Right, 9.1
Step-by-step explanation:
Find the least common denominator of these two fractions. LOTO and 1/ 5 The least common denominator is [?]
Answer:
6yx
Step-by-step explanation:
This number will be your least common denominator (LCD). Divide the LCD by the original denominator. To determine the multiple needed to make the denominators equal, divide the LCD you determined by the original denominator. Multiply the numerator and the denominator of each fraction by this number.
Multiplicative inverse of 345
Answer:
-0.00289855.
1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)
Answer:
a² + 4a + 4
Step-by-step explanation:
(a + 2) ² = (a + 2) ( a + 2)
= a ( a + 2) + 2 ( a + 2)
= a² + 2a + 2a + 4
= a² + 4a + 4
huh? sorry idont know the answer
Can someone please help
Answer:
the standard form of the given algebraic expression is
[tex]x + x - 2 + 7[/tex]
[tex] = 2x + 5[/tex]
Answer:
x square -5x -14
Step-by-step explanation:
Formula:
X square + (a+b)x +ab
And then substitute...
Hope it helped you.
Pl help it’s for a grade
Answer:
c
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Due to the explanation here
URGENT PLZZ HELP!!!!
Answer: 1
Step-by-step explanation:
Since 2 ≥ 2, we only need to look at [tex]x^3-9x^2+27x-25[/tex].
Plugging in 2 for x in this, we get:
[tex]2^3-9(2)^2+27(2)-25[/tex]
[tex]8 - 36 + 54 - 25[/tex]
[tex]1[/tex]
Hence, the answer is A.
Use technology to find points and then graph the line y = 5/3x – 1
Answer:
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
y-int = (0, -1)
x-int. = (3/5, 0)
good luck, i hope this helps :)
What is the perimeter of the regular hexagon? 3 m meters
A college has a total of 107 teachers 23 more female teachers than male teachers
What proportion of the teachers are female? use n as the unknown
Answer:
Female reachers = 65
Step-by-step explanation:
Given that,
Total teachers in a college = 107
Let there are n male teachers.
Female reachers = n+23
ATQ,
n+n+23 = 107
2n = 107-23
2n = 84
n = 42
Female reachers = 42+23
= 65
Hence, there are 65 female teachers.
According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student
Answer:
0.0326 = 3.26% probability that she is a student.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So
[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]
Student and woman developer.
7.4% of 25.8%(students), so
[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]
If we encounter a woman developer, what is the probability that she is a student
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]
0.0326 = 3.26% probability that she is a student.
Find the product of the least common multiple (LCM) of $8$ and $6$ and the greatest common divisor (GCD) of $8$ and $6$. Please help meh. I
Answer please!!!!
Award Brainliest!!!
Answer:
53
Step-by-step explanation:
60 + 67 = 127
180 - 127 = 53
Your answer will be 53
Factcheck:
60 + 67 + 53 = 180
NEED HELPPPP! This is hard for me to do!
Answer:
a) This expression is simply the average of both of their hours for a full year.
b) Honestly, I'm not sure, but mathematically, its [tex]\frac{Beth's -hours}{Arjun's-hours}[/tex], so the hours cancel out and you get the ratio of their yearly hours? Idek
c) a/12 would be the number of hours Arjun worked per month since there are 12 months in a year.
d) This one is a difference between Arjun's hourly wage to Beth's hourly wage. So, it represents how much more Arjun would have made (Arjun's hourly wage) in comparison to Beth, or vice versa (depending on who worked more hours).
c) Similar to a), this is an average of their yearly income.
The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.
Answer:
Step-by-step explanation:
41
A price floor of $25 per unit will result in a ?
Answer:
HI INEED HELP TOO
Step-by-step explanation:
solve this pleaseI will really appreciate it.
If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55
Help me please!!
15 points!
Answer:
Hi Hi really sorry may i get some points i need them to give it to other people cuz some people want points, ik its not the answer u wanted sorry but hope u get the answer soon!
Step-by-step explanation:
A large tank holds ×5107 gallons of oil. How much oil can be stored in 23 tanks
A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.
a.0.76 c.0.27 b. 1.07 d. 0.53
Answer:
53
Step-by-step explanation:
Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3
Answer:
what in the math equations is this???
Step-by-step explanation:
Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters
Answer:
If it says she made 20 liters of cream then She has 30 liters of milk
Step-by-step explanation:
2 cream x 10 = 20
3 milk x 10 = 30
Hope this helps!
Plz make me Brainliest.
A total of 46 students signed up to play in a flag football league if each team has 10 students how many more students will need to sign up so all of the students can be on a team show your work
Answer:
4
Step-by-step explanation:
40÷10=4 so there's 4 teams but there's still 6 but we need 10 in each team so we need to 4 more people to make it equal
