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
Gre4nikov [31]
2 years ago
10

What is the area of the shaded triangle?steps please

Mathematics
2 answers:
Ray Of Light [21]2 years ago
8 0

Answer:

30m²

Step-by-step explanation:

Let's derive the area of a triangle

We know the formula for the area of a rectangle:

  • \text{A = l * w}

Here, we can see that the area of the triangle is the rectangle's are divided by 2, or half of the rectangle's area.

Here's the formula for the area of a triangle:

  • \text{A} = \frac{1}{2}\text{b * h}

B is the base, the same as the length

H is the height, the same as the width

Solve:

  • \text{A} = \frac{1}{2}\text{b * h}
  • \text{A} = \frac{1}{2}(10 * 6)
  • \text{A} = \frac12(60)
  • \text{A} = 30\\

The units is m * m, or m²

Area = 30m²

-Chetan K

IgorLugansk [536]2 years ago
5 0

Answer:

area of shaded: 30 m²

Explanation:

  • Here triangle is inscribed in a rectangle.
  • Rectangle area: Length * Width
  • Triangle area: (1/2) * base * height
  • The triangle here is shaded.

Steps:

Rectangle area: 6 * 10 = 60 m²

Triangle area: (1/2) * 6 * 10 = 30 m² .......this is the area of shaded.

You might be interested in
How can we simplify radicals involving negative values?
RSB [31]

Answer:

using imaginary numbers

Step-by-step explanation:

4 0
3 years ago
During the final 5 seconds of a race a cyclist increased her velocity from 4 m/s to 7 m/s . What was her average acceleration du
GREYUIT [131]

Answer:

The average acceleration of the cyclist was 0.6 m/s².

Step-by-step explanation:

Acceleration:

The rate change of velocity per unit time is call the acceleration of the object.

a=\frac{v-u}t

u= initial velocity

v= final velocity

t= time taken change of velocity.

During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s

Here v= 7 m/s and u=4 m/s t=5 seconds

\therefore a=\frac{7\ m/s-4 \ m/s}{5s}

     =\frac{3}{5} \ m/s^2

     =0.6 m/s²

The average acceleration of the cyclist was 0.6 m/s².

8 0
3 years ago
What is 0.368 in expanded form
kondor19780726 [428]


The expanded form of 0.368 is

.3 + .06 + .008

Hope this helps. :)

3 0
3 years ago
Write the equation in logarithmic form 8^x=64​
Alona [7]

Step-by-step explanation:

8^x= 64

8²= 64

In logarithmic form,

log(base 8) 64= 2

8 0
3 years ago
What is the true solution to the equation below?
jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

ln(a) - ln(b)=ln(\frac{a}{b})

e^{ln(a)}=a

ln(a)^{n}=nln(a) vice-versa nln(a)=ln(a)^{n}

If ㏑(a) = ㏑(b), then a = b

∴ 2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)

Use the 2nd rule to simplify it

e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)

Use the 4th rule

\frac{2}{5} x = 30

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

3 0
3 years ago
Other questions:
  • painted a fence that was 84 meters long. She was able to paint 4 meters per hour. How many meters of fence were left after Alyss
    10·1 answer
  • X=<br><br> a) 37<br> b) 74<br> c) 143
    12·2 answers
  • Which expression is equivalent to 4(9x2−2)? 36x2−10−2 16x2+14−20x2−2 18x2−12−18x2+2 30x2−10+6x2+2
    10·2 answers
  • An equation is given.
    7·1 answer
  • Casey is going to start selling ice cream cones at the county fait. He has to rent the equipment for $26 and spend $0.43 on ingr
    12·2 answers
  • Solve: 7.2 + 3.5
    10·1 answer
  • How is absolute value used to determine MAD
    6·1 answer
  • What is the value of the expression? (14 ½ - 10.25) ÷ 2
    9·1 answer
  • In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that
    11·1 answer
  • How do you even do this?! i’m so confused
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!