1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
r-ruslan [8.4K]
4 years ago
14

Plz help ill give u brainlist

Mathematics
1 answer:
monitta4 years ago
4 0
A² + b² = c²
1² + b² = 2²
b² = 2² - 1²
b² = 4 - 1
b² = 3
b = √3 
b  1.73 (nearest hundredth)

Answer: b =  1.73

---------------------------------------------------------------------------------------------------------------------

\sin(\alpha) =  \dfrac{\text {opp}}{\text{hyp}}

\sin(\alpha) =  \dfrac{\text {1}}{\text{2}}

\alpha =  \sin^{-1} \bigg ( \dfrac{1}{2}  \bigg)

\alpha = 30 \textdegree

Answer: 30°

---------------------------------------------------------------------------------------------------------------------

\cos(\beta) = \dfrac{\text {adj}}{\text{hyp}}

\cos(\beta) = \dfrac{\text {1}}{\text{2}}

\beta = \cos^{-1} \bigg ( \dfrac{1}{2} \bigg)

\beta = 60 \textdegree

Answer: 60°
You might be interested in
Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be th
melamori03 [73]

Answer:

G(x) = (1 - x)/4

is the inverse function required.

Step-by-step explanation:

Given F(x) = -4x + 1

Let y = F(x)

Then y = -4x + 1

=> y - 1 = -4x

4x = 1 - y

x = (1 - y)/4

That is, the inverse is (1 - x)/4

Therefore, G(x) has to be (1 - x)/4

6 0
3 years ago
What percent of northeastern students do five years
Nesterboy [21]
Currently, 17 percent graduate in four years
8 0
3 years ago
In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). W
Vikki [24]

Answer:

The length of AD is 4 cm

Step-by-step explanation:

* Lets explain how to solve the problem

- In Δ ABC

- Point D lies on side AB ans point E lies on side BC

- Segment DE parallel to the side AC

- AB = 16 cm , AC = 20 cm , DE = 15 cm

* Lets solve the problem

- In Δ ABC

∵ DE // AC

∴ m∠BDE = m∠BAC ⇒ corresponding angles

∴ m∠BED = m∠BCA ⇒ corresponding angles

* Lets use similarity to prove that Δ BDE similar to Δ BAC

- In triangles BDE and BAC

∵ m∠BDE = m∠BAC

∵ m∠BED = m∠BCA

∵ ∠B is a common angle in the two triangles

∴ Δ BDE ≈ Δ BAC ⇒ by AAA

∴ Their corresponding sides are proportion

∴ \frac{BD}{BA}=\frac{DE}{AC}=\frac{BE}{BC}

∵ AB = 16 cm , AC = 20 cm , DE = 15 cm

∴ \frac{BD}{16}=\frac{15}{20}

∴ \frac{BD}{16}=\frac{3}{4}

- By using cross multiplication

∴ 4 BD = 16 × 3

∴ 4 BD = 48

- Divide both sides by 4

∴ BD = 12 cm

∵ Point D divides side AB into two parts BD and DA

∴ AB = BD + AD

∵ AB = 16 cm

∵ BD = 12 cm

∴ 16 = 12 + AD

- Subtract 12 from both sides

∴ AD = 4 cm

* The length of AD is 4 cm

4 0
3 years ago
Read 2 more answers
Simplify: -0.8b + 4.1c -(-3.2b) - 0.1c
nikdorinn [45]
The answer is =
2.4b + 4c
7 0
4 years ago
There are 212 students in the 8th grade class. The number of girls is 49 less than twice the number of boys. How many girls and
Anna71 [15]

Answer:

girls = 125

boys = 87

Step-by-step explanation:

Total number of students in the 8th grade class = 212

Let g represent girls and b represent boys

Number of girls, g = 2b -49

Note that boys and girls in the class give a total of 212

So,

g + b = 212 ....eq 1

Slot in the value of g in the equation

2b - 49 + b = 212

2b + b - 49 = 212

3b - 49 = 212

Add 49 to both sides

3b - 49 + 49 = 212 + 49

3b = 261

Divide both sides by the coefficient of b which is 3

b = 87

Now that we've found the number of boys, let's find that of girls

We will slot in the value of b in eq 1

g + 87 = 212

Subtract 87 from both sides

g + 87 - 87 = 212 - 87

g = 125

So the number of boys is 87 and the number of girls is 125

8 0
3 years ago
Other questions:
  • Gcf 60x^4y^7, 45x^5y^5 and 75x^3y
    14·1 answer
  • The function f(x) = –x2 + 16x – 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number
    5·1 answer
  • -2(2)+4 { 16/ (3-5) }
    8·1 answer
  • A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2
    11·2 answers
  • Find the slope of the line perpendicular to the graph of y− 1/5 x=7<br><br> help due soon
    11·1 answer
  • The square of a number plus the original number is 22 what could the number be?
    14·2 answers
  • Plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value. true of false
    9·1 answer
  • Tell whether the blue figure is a reflection of the red figure.
    7·2 answers
  • Select all equations that have infinitely many solution ​
    8·1 answer
  • Solve this for me please i dont know how to solve it
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!