Solve for 44.
4 4 = [?]
510
51
44/42
Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.
The two opposite inside angles are given as 51 and 51
Angle 3 = 51 + 51 = 102 degrees.
Answer:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
thus our equation is
[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
cancel 102° from both sides:
[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]
By straight line theorem we acquire:
[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]
substitute:
[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]
cancel 72° from both sides:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
hence, the measure of [tex]\angle 4[/tex] is 108°
This box can be packed with 48 unit cubes. The edge length of each
unit cube is 1 meter. What is the volume of the box?
11 cubic meters
11 meters
48 meters
48 cubic meters
134 Complete
Answer:
Volume of the box = 48 cubic meter
Step-by-step explanation:
Given:
Total number of cubes used = 48 cubes
Length of each cube = 1 meter
Find:
Volume of the box
Computation:
Volume of each cube = Side³
Volume of each cube = 1³
Volume of each cube = 1 cubic meter
Volume of the box = 48[Volume of each cube]
Volume of the box = 48[1 cubic meter]
Volume of the box = 48[1]
Volume of the box = 48 cubic meter
Factorise a^2-b^2 but it has no indecies
Answer:
(a+b)(a-b)
Step-by-step explanation:
One card is drawn from a regular deck of 52 cards. Find P (a red jack). Express your answer as a fraction and a percent, rounded to the nearest tenth of a percent.
Answer:
GIME SUM SKITTLES (Points)
Step-by-step explanation:
Answer:
Step-by-step explanation:
??.
Which equation represents a horizontal line?
x=y+2
X-2
y = x+1
y=2
Answer:
y=2
Step-by-step explanation:
A horizontal line can be represented as y = a number.
Therefore D. y=2 is a horizontal line.
Which of the following ordered pairs lies on the graph of y= tanx?
Answer: A/ first answer
Step-by-step explanation: it is that beacause it is paired to y=tanx
X-y=6, x+y=8, zx+zy=20
Answer:
Step-by-step explanation:
x = 6 + y
6 + y + y = 8
y = 1
x - 1 =6
x = 7
zx + zy = z(x + y) = 20
z = 2.5
Answer:
X = 7
Y = 1
Z = 2/5
Step-by-step explanation:
7-1 = 6
7+1 = 8
2/5 × 7 + 2/5 = 20
Evaluate g(5) given. Help please
Answer:
[tex]g(5) = \frac{2}{3}[/tex]
Step-by-step explanation:
Piecewise function:
A piecewise function has a different rule depending on the input.
In this exercise:
If the input x is equal or less than two, the rule is [tex]|7 - x^2|[/tex], and if it is greater than 2, the rule is:
[tex]\frac{x+1}{2x-1}[/tex]
g(5)
The input is [tex]x = 5 > 2[/tex], so the rule is:
[tex]g(x) = \frac{x + 1}{2x - 1}[/tex]
At [tex]x = 5[/tex]
[tex]g(5) = \frac{5 + 1}{2(5) - 1} = \frac{6}{9} = \frac{2}{3}[/tex]
The answer is [tex]g(5) = \frac{2}{3}[/tex]
don’t mind the pencil writing
Answer:
Length = 22 cm
Width = 4 cm
Step-by-step explanation:
Area = 88 cm²
Length = x + 7
Width = x - 11
Area of rectangle = length*width
Therefore:
(x + 7)(x - 11) = 88
x(x - 11) +7(x - 11) = 88
x² - 11x + 7x - 77 = 88
Add like terms
x² - 4x - 77 = 88
x² - 4x - 77 - 88 = 88 - 88
x² - 4x - 165 = 0
Factorize
x² - 15x + 11x - 165 = 0
x(x - 15) +11(x - 15) = 0
(x + 11)(x - 15) = 0
x = -11 or x = 15
Let's use the positive number.
Therefore:
Length = x + 7
Plug in the value of x
Length = 15 + 7 = 22 cm
Width = x - 11 = 15 - 11 = 4 cm
ONLY ANSWER CORRECTLY
Select the correct answer.
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to
penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The
test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?
OA. 0.005
ОВ,
0.015
Ос.
0.245
OD 0.735
Reset
Next
1071 Can Allen
app.edmentum.com/assessments delivery/ua/mt/launch/49001233/826708953/aHROCHM6Ly9mMiShcHAUZWR
ZXItdWkvdXNICI
B4MY3MDG5NTE 3de
US
10:21
DULL
Answer:
C 0.245
Step-by-step explanation:
have a good day/night sorry if wrong may i please have a bralliest
!!!!PLEASE HELP!!!
WILL MARK BRAINLIEST!!!:)
What is the value of x in this triangle?
58
32
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
x=
Answer:
X = 66.24
Step-by-step explanation:
Formula: A^2 + B^2 = C^2
Substitution: 58^2 + 32^2 = 4388
√4388 = 66.2419806467
66.2419806467 ( Rounded to the hundredths place ) = 66.24
Please mark the answer as Brainliest if it's correct . :)
How does the author support his argument that people depend on the continued existence of coral reefs? A) by quoting experts and scientists who believe that humans cannot survive without the existence of coral reefs B) by claiming that human beings have a religious and social obligation to not harm, but encourage the growth of coral reefs C) by detailing science experiment results that showed conclusively that humans will be adversely affected if all coral reefs disappeared D) by asserting that the reefs contain many plants and animals used in medicines, chemicals, or other products that humans need to lead healthy lives
Answer:A) by quoting experts and scientists who believe that humans cannot survive without the existence of coral reefs
Step-by-step explanation:
Answer:
D) by asserting that the reefs contain many plants and animals used in medicines, chemicals, or other products that humans need to lead healthy lives
Step-by-step explanation:
did the usa test prep owo
The two numbers rolled can be added to get a sum. Find P(sum is greater than 5).
A. Start Fraction 5 over 6 End Fraction
B. thirteen-eighteenths
C. Start Fraction 5 over 18 End Fraction
D. one-third
Answer:
8/9
Step-by-step explanation:
let the number rolled be two dies
When two dice are rolled, the total outcome will be 6² = 36
The pair that gives a sum of 5 are (1,4), (4,1) ,(2, 3), (3, 2). These gives 4 outcomes.
The pair that gives the sum greater than 5 = 36 - 4 = 32
Pr(sum is greater than 5) = Expected/Total outcome
Pr(sum is greater than 5) = 32/36
Pr(sum is greater than 5) = 8/9
If you sleep 6 hrs out of 24 hrs how much percent do you sleep?
Answer:
25%
Step-by-step explanation:
I hope this helps you!!
Answer:
You sleep 25% of the day.
Step-by-step explanation:
First you change the equation into a fraction:
6 hrs out of 24 hrs = 6/24
Then you can simplify this fraction:
6/24 = 1/4
Lastly, convert the fraction to a percent:
1/4 = 25%
Brainliest would be greatly appreciated!!!!
13. Find the diagonal of a square if the lengths of its sides are each 16 mm. Round to the nearest tenth.
A. 16.0 mm
B. 45.3 mm
C. 22.6 mm
D. 32.0 mm
Answer:
[tex]C.\ 22.6mm[/tex]
Step-by-step explanation:
When one draws a diagonal in a square (a line connecting opposite corners), the halves of the square form (45-45-90) triangles. This means that the triangle follows the following ratio,
[tex](a)-(a)-(a\sqrt{2})[/tex]
Where (a) represents the legs or the sides adjacent to the right angle (angle with the box around it) and ([tex]a\sqrt{2}[/tex]) represents the hypotenuse or side opposite to the right angle.
Both legs have a length of (16)mm this is because all sides of a square are congruent, and the two sides adjacent to the right angle are both the sides of a square. One of them has the measure of (16) thus the other must have a measure of (16). This means that the diameter has the following value,
[tex]16\sqrt2}[/tex]
In numerical form,
[tex]\approx22.62[/tex]
A tennis ball has a mass of 0.06 kilograms. What place value is the 6 in this
number?
Answer:
It is the hundredths.
Step-by-step explanation:
The second number after the decimal is the hundredths place.
If the triangles below are similar, find the value of x. 42 х 11 22
9514 1404 393
Answer:
28
Step-by-step explanation:
Corresponding sides are proportional.
x/42 = 22/(22+11)
x = 42(2/3)
x = 28
solve each of the following systems, if possible. indicate whether the system has a unique solution, infinitely many solutions, or no solution.
a. 2x + 10y = 9
3x + 15y = 13
b. 2x + 8y = 5
3x + 12y = 7.5
c. y = 3-x
d. 5x -8y = -1
-5/2 x + 4y = 1/2
Answer:
(a) No solution
(b) Infinitely many solution
(c) No solution
(d) Infinitely many solution
Step-by-step explanation:
Solving (a):
[tex]2x + 10y = 9[/tex] --- (1)
[tex]3x + 15y = 13[/tex] --- (2)
Multiply (1) by 1.5
1.5 * [[tex]2x + 10y = 9[/tex]]
[tex]3x + 15y = 13.5[/tex] --- (3)
Subtract 2 and 3
[tex]3x - 3x + 15y - 15y = 13.5 - 13[/tex]
[tex]0 = 0.5[/tex]
The above is false; Hence, the system has no solution
Solving (b):
[tex]2x + 8y = 5[/tex] --- (1)
[tex]3x + 12y = 7.5[/tex] -- (2)
Multiply 1 by 1.5
1.5 * [[tex]2x + 8y = 5[/tex]]
[tex]3x + 12y = 7.5[/tex]
Subtract 2 and 3
[tex]3x - 3x + 12y - 12y = 7.5 - 7.5[/tex]
[tex]0 = 0[/tex]
The above implies that the system has infinitely many solutions
Solving (c):
[tex]y = 3 - x[/tex]
A second equation is required to solve for (c)
Solving (d):
[tex]5x - 8y = -1[/tex] --- (1)
[tex]-\frac{5}{2}x+ 4y = \frac{1}{2}[/tex] --- (2)
Multiply (2) by 2
[tex]-5x + 8y = 1[/tex] --- (3)
Add 1 and 3
[tex]5x - 5x -8y + 8y = -1 + 1[/tex]
[tex]0 = 0[/tex]
The above implies that the system has infinitely many solutions
PLEASE HELP ME‼️‼️‼️‼️Find the measurement of the angle indicated for each trapezoid.
Answer:
Step-by-step explanation:
I want you to do the problem, but look and see what the inside degree has to add up to. 180? 360? then find it from there
find the area of rectangle whose length and breadth are length is equals to 9.4 cm breadth is equals to 6.3cm
Answer:
area of rectangle=length ×breadth
=9.4cm×6.3cm
=59.22cm
State if the triangles in the pair are similar. If so, complete the similarity statement
Answer:
they similar
triangle SRQ - SBC
Answer:
similarity statement =RS/BS=QS/CS=RQ/BC OR,
triangle RSQ≅triangle BSC
Step-by-step explanation:
In square units!!! Real answers only please no links!!!!
What is the probability that the card is not a heart, GIVEN that the card is a face card??
Best answer gets brainliest!!
Answer:
.75
Step-by-step explanation:
Conditonal probability formula:
A|B= (A∩B)/B
let NH= Not heart
Let F= Face
NH|F= NH∩F/F
not hearth and face is 9
face is 12
9/12=.75
Need help on this please tell me the answer
Answer:
your answere is 80 degrees
Step-by-step explanation:
the total of the inside is 180 so subtract 35 and 65 from 180 and you get 80
f
Solve the equation + 22 = 17.
3
Answer: subtract 22 on both sides
Step-by-step explanation:
Now you would have -5 to solve take 3 and multiply on both sides to get f=-15
Hope this helps
Answer: -5
Step-by-step explanation:
Which choice is equivalent to the quotient shown here for acceptable values of x?
√8^2 ÷ √3x
PLEASE NO LINK ANSWERS
Answer:
A) [tex]\sqrt{8x/3}[/tex]
Step-by-step explanation:
[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]
[tex]\sqrt{8x^{2}/{3x}[/tex]
[tex]\sqrt{8x/3}[/tex]
Therefore, A is correct
Write 123,000,000 as a multiple of a power of 10.
Answer:
1.23 x 10^8
hope this helps
have a good day :)
Step-by-step explanation:
There are 44 rabbits. What is 44 rounded to the nearest 10?
Answer:
4
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6
These triangles are:
A) congruent,
B) similar or
C) neither.
Answer:
B similar
Step-by-step explanation:
Both of these triangles have the same proportions and angles even though they are different sizes, making them similar.
Have a most wonderous day!
Answer:
it should be similar
Step-by-step explanation:
I hope this helps
Hurry up please timed test
Answer:
the second option
hope this helps!