Answer:
[tex]x \approx 24\degree [/tex]
Step-by-step explanation:
In triangle BAC, by Pythagoras theorem:
[tex]AC^2 = BC^2 -BA^2 [/tex]
[tex]AC^2 = (15)^2 -(9)^2 [/tex]
[tex]AC^2 = 225 - 81[/tex]
[tex]AC^2 = 144[/tex]
[tex]AC = \sqrt {144} [/tex]
[tex]AC = 12\: cm [/tex]
In triangle ABD,
[tex] \tan \angle ABD =\frac{AD}{AB} [/tex]
[tex] \tan \angle ABD =\frac{5}{9} [/tex]
[tex] \angle ABD =\tan^{-1}\frac{5}{9} [/tex]
[tex] \angle ABD =29.054604099\degree [/tex]
[tex] \angle ABD =29.05\degree [/tex]
Next, in triangle ABC, by sine rule:
[tex] \frac{\sin \angle ABC}{AC}=\frac{\sin \angle BAC}{BC}[/tex]
[tex] \frac{\sin (\angle ABD+\angle DBC) }{12}=\frac{\sin 90\degree}{15}[/tex]
[tex] \frac{\sin (29.05\degree+x) }{12}=\frac{1}{15}[/tex]
[tex] \sin (29.05\degree+x) =\frac{12}{15}[/tex]
[tex]29.05\degree+x = \sin^{-1}\frac{12}{15}[/tex]
[tex]29.05\degree+x =53.130102354\degree [/tex]
[tex]29.05\degree+x =53.13\degree [/tex]
[tex]x =53.13\degree- 29.05\degree[/tex]
[tex]x =24.08\degree [/tex]
[tex]x \approx 24\degree [/tex]
Maria is a florist in a small boutique. If Maria paid her supplier 8.50$/dozen for roses and sold them for 19.95$, what was the mark up in percent?
Answer:
The markup percentage was 135%.
Step-by-step explanation:
In order to find the markup percent, you have to take the sales price minus the cost and divide that by the cost. Then, you have to multiply by 100 to establish the markup percentage:
markup percentage=((19.95-8.50)/8.50)*100
markup percentage=(11.45/8.50)*100
markup percentage=135%
According to this, the answer is that the markup percentage was 135%.
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)?
Answer:
14.5
Step-by-step explanation:
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)
10 + (6)2 / 4 * (1.5)
10 + 12 / 4 * 1.5
10 + 3 * 1.5
10 + 4.5
14.5
Answer:
20.5
Step-by-step explanation:
10 + 12 ÷ 4 x 7/2
10 + 3 x 7/2
10 + 21/2
10 + 10.5
20.5
all you need is in the photo
please don't do step by step because is so confusing
Answer:
f(-5) = 37
f(-3)= 13
f(-1)= -3
f(1)= -11
f(3)= -11
Step-by-step explanation:
Please tell me how to do problems like 4.6x8.3(I need an explination) WILL GIVE BRAINLIEST NO TROLLING OR BAN
Answer:
you just multiply normaly and the decimals get multiplied too
Step-by-step explanation:
4.6*8.3=38.18 4*8= 38 and 6*3= 18 so the answer is 38.18
solve for x,y and z in the following diagrams
Step-by-step explanation:
answers in 4 y z missing ......
from my side
How do I do B I need it by today
Help please do it now
1) 8 bananas cost £4
Work out the cost of 5 bananas.
If n is a negative number which of these has the greatest value
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
6 - n = 6 - (-#) = 6 + n
3 (6n) = greatest value
What is the answer to x? Help ASAP
Answer:
12
Step-by-step explanation:
2x + 24° = 4x ( being vertically opposite angles)
4x - 2x = 24°
2x = 24°
x = 24° / 2
x = 12°
Hope it will help :)
solve :
4² ( 4³ )
with work shown
Answer:
1024
Step-by-step explanation:
4²(4³)
4×4(4×4×4)
16(16×4)
16(64)
16×64
=1024
help on this question plss!
Answer:
adding 4 to both sides. first option.
Step-by-step explanation:
four should have been subtracted, as it is not negative
An 8-pack of toy cars costs $5.97. What is the unit price, rounded to the nearest cent?
Answer:
$0.75 per toy car
Step-by-step explanation:
Divide 5.97 by 8
5.975/8=0.746875
Now round to the nearest cent which is the hundredths place
0.75
I just need help on which option
The answer is option two
HELPP NOWW!! 20 pointssssss
Answer:
54 square millimeters
Step-by-step explanation:
Answer:
Is a surface area a volume? Because if so its 27. And if its just the flat surface then its 9.
-9.b = 45
b =
What is the answer I need to know the answe
Answer:
b=-5
Step-by-step explanation:
Divide by -9 to eliminate the -9 on -9b
(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)
-9b/-9=45/-9
b=-5
anyone know how to do B?.
Answer:
yea i knownhow
Step-by-step explanation:
no i dont jus getton free points
what is the solution set of this inequality x < -10 i need help
Answer:
x= 1 (any number greater than -10)
Step-by-step explanation:
">" this sign shows that any number greater than -10 can be x. There is no specific answer.
Answer:
The solution set of an inequality is < (less than) or > (greater than) to compare two or more numbers. Example 12 > - 10.
Step-by-step explanation:
When comparing two numbers, like 5 and 8, you probably recognize that the number 5 is less than the number 8. You probably also realize that the number 8 is greater than the number 5. In math, we use the inequality symbols < and > to compare two or more numbers.
how would you write this number in numeric form eight hundred fifty-three hundredths?
50-8-30+28¿como lo puedo resolver?
Answer:
40
~
Puedes resolverlo simplificando la ecuación.
~
You can solve it by simplifying the equation.
~
Answer:
50 - 8 - 30 + 28 =
(50 + 28) - (8 + 30) =
78 - 38 =
40
Its much easier to solve 78 - 38 than 50 - 8 - 30 + 28, which is why you simplify the question before calkylating it.
sorry i dont know Spanish...
but hope i could help :D
MATH math help thanks (pls provide workings)
Answer:
At the point where x = 2.
Step-by-step explanation:
First find the derivative which gives us the gradient of the tangent at any point on the curve:
y = 5x^2 - 16x
y' = 5*2 x^(2-1) - 16 x(1-1)
y' = 10x - 16.
y' is the gradient at point of coordinate x.
So when the gradient = 4:
4 = 10x - 16
10x = 20
x = 2.
Answer:
x=2
Step-by-step explanation:
what is the length of c, if a=7 and B=12
Answer:
9.8
Step-by-step explanation:
Use the fraction strips to compare 2/4 and 5/8
Answer:
Step-by-step explanation:
We are given 2 fractional numbers:
We have to use fraction strips to compare to the fractional numbers.
Let we are Comparing with the length of number of sections.
i.e.
Let we are Comparing with the length of number of sections.
i.e.
Now, let us have a look at 3rd part of question:
The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8
Let the answer be .
So, the equation becomes:
So, the answers are:
2
5
Answer:
1) two
2)five
3)less than
4)<
Step-by-step explanation:
i took the test on iready :)
Can somebody plz help answer these questions correclty thanks!
WILL MARK BRAINLIEST WHOEVER CAN ANSWER FIRST :DDD
Answer:6. 7 8.22 10.24 7.12 9.22 11.9
Step-by-step explanation:
Answer:
6y=7
7x=12
8m= 22
9 n= 22
10 x= 24
11 y=9
Map Proportionality: You have a map where Indy and Fort Wayne are 19 centimeter apart. Kokomo and Indy are 9.5 cm apart on the map. If you know that Indy and Fort Wayne are actually 120 miles apart, how far apart would Indy and Kokomo be in real life? Express your answer rounded to the nearest tenth of
Answer: 60 miles
Step-by-step explanation:
On a map, Indy and Fort Wayne are 19 centimeter apart while Kokomo and Indy are 9.5 cm apart on the map.
In real life, Indy and Fort Wayne are actually 120 miles apart, the distance between Indy and Kokomo in real life would then be:
= 9.5 × 120/19
= 120/2
= 60 miles
Indy and Kokomo are 60 miles apart in real life.
Solve the equation 0.6x + 2.7= 0.9x
Answer: X=9
Step-by-step explanation: Have a brilliant day mate! - Lily (^_^)
Find the value of x in the parallelogram?
Answer:
A (29)
Step-by-step explanation:
If it's a parallelogram, then opposite sides are parallel. This means that
20=x-9. Add 9 to both sides and the you get x=29.
Solve the real-world situation by using the substitution method.
The number of DVDs sold at a store in a month was 923 and the number of DVDs sold decreased by 12
per month. The number of Blu-ray Discs sold in the same store in the same month was 505 and the
number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t
represent the time in months.
The system of equations
{d=923-12t
{d=505+26t
can be used to represent this situation.
If this trend continues, how many months will the number of DVDs sold equal the number of Blu-ray discs
sold? How many of each is sold in that month?
There will be ____ DVDs and Blu-Ray discs sold per month in ____ months.
Answer:
In 11 months, the number of DVDs sold and Blue-Ray discs sold will be same, 791 of each.
Step-by-step explanation:
In the equation d = 923-12t, substitute 505+26t (from the second equation) for 'd'. We get
505 + 26t = 923 - 12t
-505 + 12t -505 + 12t
38t = 418
t=11
d = 923-12(11) = 791
d = 505+26(11) = 791
After 11 months, selling 791 of each.
Hope this helps.
Answer:
791
Step-by-step explanation:
slope = 1, goes through the point (0,6)
A bagel shop sold 81 of their 108 bagels on Monday what is the percent of the bagels that were sold Monday?
Answer:75%
Step-by-step explanation: I asked Siri and she said it was 75% lol your welcome
It should be 27 bagels correct me if I'm wrong but I hope I helped