PLEASE HELP! 15 POINTS!
ABC and is a straight line
Work out the length of AC
Give your answer to 1 decimal place
Answers
Answer:
19.2
Step-by-step explanation:
I hope it helps you.....
Answer:
AC ≈ 19.2 cm
Step-by-step explanation:
Using Pythagoras' identity in Δ BCD to find BC
BC² + BD² = DC² , that is
BC² + 12.6² = 19.3²
BC² + 158.76 = 372.49 ( subtract 158.76 from both sides )
BC² = 213.73 ( take the square root of both sides )
BC = [tex]\sqrt{213.73}[/tex] ≈ 14.62
Using the tangent ratio in Δ ABD to find AB
tan20° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BD}[/tex] = [tex]\frac{AB}{12.6}[/tex] ( multiply both sides by 12.6 )
12.6 × tan20° = AB , then
AB ≈ 4.59
Then
AC = AB + BC = 14.62 + 4.59 ≈ 19.2 cm ( to 1 dec. place )
Related Questions
Can you help me? (BRAINLIEST IF CORREECT! and please dont guess this is important :D)
The Invasion of the Lionfish
What was once just an attractive aquarium fish has recently become one of the biggest menaces in the Atlantic. The lionfish was accidentally introduced into the Atlantic Ocean in the 1990s. Because it has no natural predators, it has adapted quickly to its new home. The lionfish now threatens to destroy native fish populations in the Atlantic, Caribbean, and Gulf of Mexico.
The lionfish spreads quite rapidly. Lionfish spread faster than any other invading species. Experts have called the invasion in the Atlantic the worst marine invasion of all time. The lionfish's success comes from an ability to reproduce all year round. In addition, they are greedy eaters with a fondness for small fish and crustaceans. They will eat anything smaller than they are. Lionfish love the warm waters of the Gulf of Mexico. Since their first sighting, they have rapidly multiplied. In some locations, scientists estimate that lionfish populations exploded by 700 percent between 2004 and 2008 alone.
To combat the invasion, wildlife agencies have sponsored lionfish derbies. In these derbies, local scuba divers are invited to harvest lionfish. In addition, many states offer recipes for preparing and eating lionfish to encourage harvesting. Lionfish have to be handled carefully because of their venomous spines, but they are apparently delicious. Increasing the harvest of lionfish will help. However, scientists estimate that more than a quarter of the population would have to be taken every month to stop the growing population.
The lionfish has targeted our most fragile and important ecosystems. Scientists are working tirelessly to learn as much as they can about this predator. We may never be able to completely remove the threat, but many fishermen and seafood fans are hoping we can figure out how to control it.
Work Cited
Wilcox, Christie. "The Worst Marine Invasion Ever." Slate. July 1, 2013.
http://goo.gl/Vlxpe
Read this line from the text:
In addition, they are greedy eaters with a fondness for small fish and crustaceans.
What does greedy mean in this sentence?
A.They take more than they need.
B.They have little to fear from others.
C.They cannot be controlled.
D.They have a weight problem.
Answers
I hope this is correct and that I’ve helped
The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country.
Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today
Answers
Answer:
P(t)= 9000(0.4)^t
Step-by-step explanation:
Generally, we have an exponential function as follows;
P(t)= I(1 - r)^t
This case represents a decay ( decrease in value)
from what we have;
I represents the initial value, whereas r is the rate of change
From the question, we have that the change rate is the fraction 3/5
Writing this as a decimal, it is 0.6
substituting this back into the equation, we have;
P(t)= I(1-0.6)^t
P(t)= I(0.4)^t
I in this case is 9,000
So we have it that;
P(t) = 9000(0.4)^t
Kristen is making accessories for the soccer team. She uses 679.36 inches of fabric on headbands for 40 players and 4 coaches. She also uses 340.40 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each
Answers
Stephen ate 1/3 of a bag of jelly beans and Jon ate 1/4 of the bag. What fraction of the jelly beans were left?
Answers
Answer:
5/12
Step-by-step explanation:
1/3+1/4
=7/12
12/12-7/12
=5/12
what is the area of a circle with a radius of 5m?
Answers
Circle
Solve for area
A≈78.54m²
r Radius
5
m
d
r
r
r
d
d
C
A
Solution
A=πr2=π·52≈78.53982m²
Answer:
25π or 78.54m²
Step-by-step explanation:
the area of a circle with a radius of 5m=πr²=π×5²=25π or 78.54m²
answer the question.
Answers
Answer:
what are the rest of the answer choices
Please answer!!!!!!
Answers
Answer:
(this isnt a mathematics question, it's science, btw)
Indeed, you are correct. It is 1. I think.
Because you get one allele from each parent, to make up 2 alleles per offspring.
Hope that helps!
75% of the students in chemistry have had algebra. If there are 300 students in chemistry, how many of them have not had algebra?
Answers
Answer:
75/100 x 300 = 225
300 - 225 = 75 students
Pls help will give brainlist
Answers
Answer:
57
Step-by-step explanation:
180 - 123
find the difference and simplify 3/4 - 2/8
Answers
Answer:
1/2
Step-by-step explanation:
(6/8)-(2/8)=(4/8)
(4/8) = 1/2
A rectangular banner has a length that is two feet shorter than twice its height, ℎ. If the expression ℎ(2ℎ−2) represents the area of the banner, what is the height of the banner whose area is 60
Answers
Answer:
h = 6
Step-by-step explanation:
Given he area of the banner expressed as;
A = ℎ(2ℎ−2)
h is the height of the banner
A is the area = 60
Substitute
60 = ℎ(2ℎ−2)
60 = 2h² - 2h
30 = h² - h
h²-h-30 = 0
Factorize;
h²-6h+5h-30 = 0
h(h-6)+5(h-6) = 0
(h-6)(h+5) = 0
h - 6 = 0 and h+5 = 0
h = 6 and -5
Since the height cannot be negative;
h = 6
Hence he height of the banner is 6
Find the slope y-intercept of each line. Write the equation of the line please help
Answers
Answer:
6) Slope: -2, Y-Intercept: 4
7) Slope: 5/4, Y-Intercept: -4
Step-by-step explanation:
La diferencia de dos numero es 3.su suma es 13 cuáles son los dos numero
Answers
Answer: Los dos números son 8 y 5
Explanation:
Considere los dos números como
x
and
y
A partir de los datos dados, escribimos:
x
−
y
=
3
x
+
y
=
13
A partir de la primera ecuación, determinamos un valor para
x
.
x
−
y
=
3
agregar
y
a ambos lados.
x
=
y
+
3
En la segunda ecuación, sustituya
x
with
(
y
+
3
)
.
x
+
y
=
13
(
y
+
3
)
+
y
=
13
Abra los corchetes y simplifique.
y
+
3
+
y
=
13
2
y
+
3
=
13
Sustraer
3
de cada lado.
2
y
=
10
Divide ambos lados por
2
.
y
=
5
En la primera ecuación, sustituya
y
con
5
.
x
−
y
=
3
x
−
5
=
3
Agregar
5
a cada lado.
x
=
8
Step-by-step explanation:
The question is in the pic please be specific
Answers
box 2) (LxW) 15x4=60
box 1 cost) (size of box x price of box) 120x1.25=150
box 2 cost) (size of box x price of box) 60x1.25=75
subtract 150 and 75 to get 75
answer: the company is saving $75 by choosing to make 50 of box 2 instead of 50 of box 1
hope this makes sense comment if you need more explanation
i need this question for algebra 1 please!
Answers
Answer: C
Step-by-step explanation:
[tex]A = \frac{1}{2} (b+c)h\\[/tex] -> This is the original equation
[tex]\frac{A}{h} = \frac{1}{2} (b+c)\\[/tex] -> Divide by h on both sides
[tex]2\frac{A}{h} = b+c\\[/tex] -> Multiply both sides by 2
[tex]2\frac{A}{h}-b = c\\[/tex] -> subtract b from both sides
Solve for the nearest tenth
*
Answers
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
x = (65)
20 + 55 + 40 = 115 180 - 115 = 65 Therefore, x = 65Answer:
x = 65.
Step-by-step explanation:
= 20 + 55 + 40
= 115
= 180 - 115 = 65.
12 units to the right of 0 on a number line
[tex]12units \: to \: the \: right \: of \: the \: 0 [/tex]
Answers
Answer:
the answer is 13
Step-by-step explanation:
A line is parrallel to y= 4x + 11 and intersects the point (-2,4)
Answers
Answer:
Step-by-step explanation:
Let the line 4x-y+k=0
Now 4×(-2)-4+k=0
K=12
So, the line will be 4x -y +12
SOMEONE PLSSSS HELP ME!!!!!!!!!!!!!!!!!!!!
Answers
slope of the line that passes through the points
Answers
Answer:
Step-by-step explanation:
what is the volume of the prism
Answers
Answer:
600
Step-by-step explanation:
multiply w l h
10 x 5=50
50 x 12=160
Kelly travels 450 miles for work every 3 weeks. How many miles does she travel each week?
Answers
Answer:1350
Step-by-step explanation: multiply 450x3
i need help 50 pts plz asap
Answers
Answer:
c
Step-by-step explanation:
a: 9/5 and 19/10 are already in simplest form
b:25/35 can be simplified to 5/7 if you divide each side by 5 and 20/24 can
be simplified to 5/6 if you divide each side by 4
c: both 15/10 and 21/14 can be simplified to 3/2
d: 4/6=2/3 and 10/16=5/8
Answer:
c
Step-by-step explanation:
Olivia and Jamie share
sweets in the ratio 3: 7. If
Olivia gets 27 how many
sweets does Jamie get?
Answers
Answer:
jamie gets 63
Step-by-step explanation:
27(olivias sweets)/3=9
9*7=63
=63
Answer:
63
Step-by-step explanation:
you have set them up so you can cross multiply.
(3 * x) = (7 * 27)
3x = (189)
to solve for x we need to isolate the variable, so divide both sides by 3:
x = 63
If 42x+1 = 4, then x =
Answers
Answer:
X=1/14
Step-by-step explanation:
Answer:
1/14
Step-by-step explanation:
I will give brainiest if correct
What is the value of x in the equation -x = 3 - 4x + 15?
0-18
O-6
O 6
O18
Answers
What is the expression and value of "six less than nine times the sum of a number and eight"
when n = 5?
9 (n + 8) - 6; the value is 111
9 (n) + 8 - 6; the value is 47.
6-9 (n + 8); the value is 111
Answers
Answer:
peyton stan is lav is correct
Step-by-step explanation:
ok so only need help wth these...
what is 3(x-9) then what is it equvilent to and these r the options...
3(x)+9.
3(x)+3(9).
3(x) – 9.
3(x) – 3(9).
its timed but no rush please help though 20 points
Answers
Answer:
Hi how are you doing today Jasmine
WILL GIVE BRAINLIEST!
Given that ℓ1∥ℓ2 and the measure of ∠c = 44°, find the measures of angles a and b.
m∠a =
°
m∠b =
°
Answers
Answer:
<a = 44 degrees
<b = 136degrees
Step-by-step explanation:
From the given diagram;
<a = <c (alternate interior angle)
Since <c = 44 degrees, hence <a = 44 degrees
Also the sum of a and b is supplementary hence;
a + b = 180
44 + b = 180
b = 180 - 44
b = 136degrees
Hence m<b =136degrees
angle sum theory
A) 10
B) 17
C) 3
D) 12
Answers
Answer:
C
Step-by-step explanation:
AWNSER: 3 :)