Answer:
Θ = 84°
Step-by-step explanation:
using the identity
cosx = sin(90 - x) , then
cos6° = sin(90 - 6)° = sin84°
that is Θ = 84°
Simplify 13 < z +5
Solve the inequality for z
First of all, subtract 5 from both sides:-
13-5<z+5-5
13-5<z
8<z
Since 8 is less than z, z is greater than 8:-
[tex]\bigstar{\boxed{\pmb{z > 8}}[/tex]
Hence, all the numbers greater than 8 will make this inequality true.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Answer:
Let's solve your inequality step-by-step.
13<z+5
Step 1: Flip the equation.
z+5>13
Step 2: Subtract 5 from both sides.
z+5−5>13−5
z>8
Answer:
z>8
Step-by-step explanation:
a pentagon is shown what is the area, in square inches of the pentagon
=========================================================
Explanation:
Along the top row, label the two triangles A and B.
In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.
To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.
Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.
The rectangle D has an area of base*height = 4*5 = 20 square inches.
-----------------------
We have these areas:
Triangle A = 6 square inchesTriangle B = 6 square inchesTriangle C = 2.5 square inchesRectangle D = 20 square inchesTriangle E = 2.5 square inchesTo wrap things up, add up those areas
A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches
Brainliest?
Find the value of x.
[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]
Step-by-step explanation:
or , x + 97° + 42° = 180° ( the sum of interior
angle of triangle is 180° )
or , x + 139° = 180°
or , x = 180° - 139°
x = 41°
solve for the missing side
please be quick
Answer:
x=5
Step-by-step explanation:
12^2+x^2=13^2
144+x^2=169
x^2=169-144
x^2=25
x=5
Answer:
5in
Step-by-step explanation:
Sides known=12,13
According to Pythagoras theorem
H²=P²+B²
(13)²=(12)²+(x)²
169=144+x²
169-144=x²
25=x²
x=√25
x=5in
PLS MARK IT AS BRAINLIEST
Solve the problem.
Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 6 inches and a
height of 4 inches. The other has a diameter of 4 inches and a height of 6 inches. Which can contains
more stew and is therefore, a better buy?
Answer:
The first can.
Step-by-step explanation:
formula: Pi x diameter x height
1st can has a volume of 113.10
2nd can has a volume of 75.40
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
So,
2 is in the units,
4 is in the tens,
1 is in the hundreds,
6 is in the thousands,
9 is in the ten thousands, and
7 is in the hundred thousands.
I hope this is helpful xx
Answer:
9 is in the ten thousands place.
giving brainliest! need this one question soon, thank you so much!
Answer:
7.014m
Step-by-step explanation:
[tex] \frac{11.3}{2.9} = \frac{h}{1.8} \\ h = \frac{11.3 \times 1.8}{2.9} \\ h = 7.013793103448275 \\ h = 7.014m[/tex]
please rate brainliest
QUESTION 1 Which one of the following is an ordered pair? O {-3,5} O (2, 4,0) 0 (0, 6) 0 1,3
PLEASE HELP
The pictures to the right show how much sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza then pepperoni pizza was left?
Answer:
3/8
Step-by-step explanation:
There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.
sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left
Now, let's fill in the numbers.
7/8 - 4/8 = ?
7/8 - 4/8 = 3/8
Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.
I hope this helps! Have a lovely day!! :)
Answer:
3/8
Step-by-step explanation:
So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt
Which of the following is in standard form of quadratic?
Answer:
I think C and D options can be correct
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
I think C and D options can be correct
Step-by-step explanation:
HELPPPP ME PLEASE 50 POINTS PLUS brainly
Answer:
input: 1 2 6 18
output: 5 10 30 90
Step-by-step explanation:
What is the answer?
[tex]\text{Given that,}\\\\\tan x = \dfrac 3{10}\\\\\text{Now,}\\\\\sin 2x = \dfrac{2\tan x}{1+ \tan^2 x}\\\\\\~~~~~~~~=\dfrac{2 \cdot \tfrac 3{10}}{1+ \left(\tfrac 3{10} \right)^2}\\\\\\~~~~~~~~=\dfrac{\tfrac 35}{1+ \tfrac 9{100}}\\\\\\~~~~~~~~=\dfrac{ \tfrac 35}{\tfrac{109}{100}}\\\\\\~~~~~~~~=\dfrac 35 \times \dfrac{100}{109}\\\\\\~~~~~~~~=\dfrac{60}{109}\\\\\\~~~~~~~~=0.5505[/tex]
A club elects a president, vice president and secretary treasurer. How many sets of officers are possible if there are 8 members and any member can be elected to each position? No person can hold more than one office.
Ahhh yes, the time-honored permutations.
The permutation format, to start with, is P(n, r).
The formula is:
[tex]\frac{n!}{(n-r)!}[/tex]In this instance, we have P(8, 3).
8 will go in for n and 3 for r. So now let's solve.
[tex]\frac{8!}{(8 - 3)!}[/tex] → [tex]\frac{8!}{5!}[/tex] → [tex]\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] → [tex]8*7*6[/tex] → [tex]336[/tex]
Therefore 336 is our answer. I hope this answers your question.
-Toremi
Toni is 30 inches less than twice Jordan's height. Toni is 66 inches tall. How tall is Jordan?
Answer:
96 inches
Step-by-step explanation:
66 + 30 = 96
can somebody explain this to
Check the picture below.
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(x_2)-f(x_1)}{2-0}\implies \cfrac{0~~ - ~~1}{2}\implies -\cfrac{1}{2}[/tex]
Find the surface area of the rectangular prism (above) using its net (below).
Answer:
68
Step-by-step explanation:21+6+6+14+21=68
Answer:
82
Step-by-step explanation:
Calculate the area of each part and sum them up
S= 7x3+7x2+7x3+2x3+2x3+7x2
42+28+12
=82
hope this helps!
the length of a rectangle is 10 cm and its width is 2 cm less than 1/2 of its length. find the area of the rectangle
Answer:
A=wl=3·10=30
A=30
Step-by-step explanation:
GIVING BRAINLIEST!! need this rlly soon thank you so much!
Answer:
Large - PR - 15 and QR - 9 Missing degrees is P - 37
Small - Missing degree is 53
They are similar because they have the exca same degrees and if you divided by 3 on each side of the larger triangle you get the small triangle.
Step-by-step explanation:
Pythagorean theorem
An angle measures 26.8° less than the measure of its complementary angle. What is the measure of each angle?
Given :
An angle which measures 26.8° less than the measure of its complementary angle.⠀
To Find :
The measure of each angle.⠀
Solution :
Let's assume the one of the complementary angle as "x" and the other angle as (x – 26.8)° .⠀
Now,
⠀
According to the Question :
⠀
[tex]{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}[/tex]
⠀
[tex]{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}[/tex]
⠀
Therefore,
One angle = 58.4°Other angle = 58.4° – 26.8° = 31.6°⠀
Hence,
The measure of the each angles are 58.4° and 31.6° .Answer:
The measurement of each angle is 58.4° and 31.6°
Step-by-step explanation:
Given :-
Value of an angle is 26.8° less than its complementary angleTo Find :-
Measurement of each angleSolution:-
let one angle be x and other be x - 26.8°
we know that, Sum of complementary angle is 90°
X + X - 26.8° = 90°
2x = 90° + 26.8°
x = 58.4
So , one angle is 58.4° and other one is 58.4 - 26.8 which is 31.6
PLS HELP FAST!!! NO LINKS
Answer:
Im 98% sure its the first one
Step-by-step explanation:
Find the measures of the interior angles that maximize the area of an isosceles trapezoid
where the length of the non-parallel sides are each 4 inches and the length the shorter of
the two bases is 6 inches.
The internal angles of 64.801° (2 in total) and 115.199° (2 in total) lead to a maximum area of 27.88 square units.
How to determine the maximum possible area of an isosceles trapezoid
Quadrilaterals are figures formed by four line segments and whose sum of internal angles equals 360°. By geometry we know that the area of a trapezoid is the average of the length of the two bases (B, b), in inches, multiplied by the height of the quadrilateral.
A = 0.5 · (B + b) · h (1)
By trigonometry the measure of the longer base and the height of the isosceles trapezoid are, respectively:
B = b + 2 · l · cos θ (2)
h = l · sin θ (3)
Where θ is an internal angle, in degrees.
By (2) and (3) in (1):
A = 0.5 · (2 · b + 2 · l · cos θ) · (l · sin θ)
A = (b + l · cos θ) · (l · sin θ)
A = b · l · sin θ + l² · sin θ · cos θ
A = b · l · sin θ + 0.5 · l² · sin 2θ (4)
If we know that b = 6 in and l = 4 in, then the area of the isosceles trapezoid is represented by the following function:
A = 24 · sin θ + 8 · sin 2θ (5)
Now we determine the angle associated to the maximum area by graphic approach.
According to this approach, the internal angles of 64.801° (2 in total) and 115.199° (2 in total) lead to a maximum area of 27.88 square units. [tex]\blacksquare[/tex]
To learn more on trapezoids, we kindly invite to check this verified question: https://brainly.com/question/8643562
The cost of a cab trip, y, is given by the table, where x is the number of miles traveled. Which THREE statements are
correct?
A)
The rate of change is $0.75.
B)
A ten mile trip would cost $12.00.
The initial passenger fee is $2.00.
D)
A twenty mile trip would cost $17.00.
E
The cost of a cab trip can be modeled by the function y = 1x + 2.
The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.
What is a function?A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.
What is true about this function:The rate of change is $0.75: The difference in the cost between one mile and the next one is always $0.75. For example, a 4-mile trip is $5 and a 3-mile trip is $4.25 (5-4.25= 0.75).The initial fee is $2: When the value of the miles is 0 the cost is $2, which shows this is the initial basic fee.A twenty-mile trip is $17: The function follows the pattern 2 + x (0.75); this means 2 + (20 x 0.75) = 2 + 15 = $17.Note: This question is incomplete because the image is missing. Here is the image:
Learn morea bout mathematical function in: https://brainly.com/question/18430152
f(X)= _3 x²_7x_9
f(_5) +f(2)=
Answer:
Step-by-step explanation:
[tex]-3x^2-7x-9=F(x)[/tex]
[tex]F(-5)=-75+40-9=-49[/tex]
[tex]F(2)=-12-14-9=-35[/tex]
[tex]f(-5)+f(2)=-49-35=-84[/tex]
Write the number in scientific notation. 0.0805
a)8.05 × 10
b)0.805 × 10–1
c)80.5 × 100–3
d)8.05 × 10–2
At 9AM on a Monday, five Starbucks are chosen and all customers are asked to participate in a survey.
What method of sampling was used to choose these people?
Answer:
random sampling
Step-by-step explanation:
There are no rules or criteria that are set to choose which Starbucks are chosen to be surveyed.
Solve for the value of m. M+4 7/8 =9
Answer:
M=33/8
Step-by-step explanation:
Answer:
M+4 7/8 =9
Step-by-step explanation:
A mitochondrion has a diameter of about 0.00000031 meter. The diameter of a chloroplast is about 3 times that of the mitochondrion. What is the approximate diameter of the chloroplast?
the diameter of the mitochondrion= 0.00000031 meter.
to find:the diameter of the chloroplast.
solution:3×mito= chloroplast
3 × 0.00000031
=0.00000091
= chloroplast
= 9.1 × 10^-7m
the imprecise diameter of the chloroplast is 9.1 × 10^-7m.
At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. What will it be worth when Sam is 33?
The amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. Thus,
[tex]P=4000\\r=9.8\%[/tex]
Now the worth has to be found out when Sam is 33. Thus, the total time period in year is,
[tex]t=33-25\\t=12\rm\; years[/tex]
Put the values in the formula,
[tex]A=4000\times\left(1+\dfrac{9.8}{12\times100}\right)^{12\times12}\\A\approx12903.8[/tex]
Thus, the amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.
Learn more about the compound interest here;
https://brainly.com/question/24274034
#SPJ1
Answer: $8733.01
Step-by-step explanation: I got it right on my quiz
Helpppppppppppppppp
find x
Answer:
Answer is √2+11/2
And you can use calculator to get even more accurate answer though...
Step-by-step explanation:
this is what i get i hope this will hepl you ♡
(QUICK!)Please answer this question, explain and show your work for brainliest! (systems of equations, either using elimination or substitution method!)
Answer:
Step-by-step explanation:
y = - 7x ......... (1)
- 14x - 2y = 0 ....... (2)
- 14x - 2y = 0 ⇒ y = - 7x
(1) and (2) are equivalent ⇒ system has infinitely many solutions