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
DochEvi [55]
3 years ago
5

Which is the best estimate of the area of a triangle that has the base of 23.62 cm and height of 8.33 cm?

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Best estimate of the area of a triangle = 100 \text {cm}^2.

Solution:

Given base of the triangle = 23.62 cm

Height of the triangle = 8.33 cm

Area of the triangle = \frac{1}{2} \times \text{base}\times \text {height}

                                =\frac{1}{2}\times23.62\times 8.33

                                =\frac{1}{2}\times196.7546

                                =98.3773 \ \text {cm}^2

Area of the triangle = 98.3773 \text {cm}^2

Estimation means rounded off to the closest correct answer.

98.3773 rounded off to 100.

Hence, best estimate of the area of a triangle = 100 \text {cm}^2.

You might be interested in
I need help with my test please i have 4 minutes left
gogolik [260]

Answer:

$8466.15

Step-by-step explanation:

its 7330 * 0.155 which is 1136.15+7330 is 846.15

Hope this helps plz hit the crown :D

4 0
3 years ago
Read 2 more answers
suppose a triangle has two sides of length 42 and 35 and that the angle.between these two sides is 120° what is the length of th
pickupchik [31]

Answer:

The length of the third side of the triangle is 7\sqrt{91}\ units

Step-by-step explanation:

Let

c ----> the length of the third side of the triangle

we know that

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

we have

a=42\ units\\b=35\ units\\C=120^o

substitute the given values

c^2=42^2+35^2-2(42)(35)cos(120^o)

c^2=2,989-2,940cos(120^o)

c^2=4,459\\c=\sqrt{4,459}\ units\\c=7\sqrt{91}\ units

6 0
3 years ago
4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.
nikitadnepr [17]

Answer:

\sum_{n=0}^9cos(\frac{\pi n}{2})=1

\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=0

\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})=\frac{1}{2}

Step-by-step explanation:

\sum_{n=0}^9cos(\frac{\pi n}{2})=\frac{1}{2}(\sum_{n=0}^9 (e^{\frac{i\pi n}{2}}+ e^{\frac{i\pi n}{2}}))

=\frac{1}{2}(\frac{1-e^{\frac{10i\pi}{2}}}{1-e^{\frac{i\pi}{2}}}+\frac{1-e^{-\frac{10i\pi}{2}}}{1-e^{-\frac{i\pi}{2}}})

=\frac{1}{2}(\frac{1+1}{1-i}+\frac{1+1}{1+i})=1

2nd

\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=\frac{1-e^{\frac{i2\pi N}{N}}}{1-e^{\frac{i2\pi}{N}}}

=\frac{1-1}{1-e^{\frac{i2\pi}{N}}}=0

3th

\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))

=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}

What we use?

We use that

e^{i\pi n}=cos(\pi n)+i sin(\pi n)

and

\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}

6 0
3 years ago
What is the combined mass of the moon(7.3*10^22)earth(590*10^22)and pluto(1.3*10^22)
yan [13]

It's the sum of the three masses:

7.3\cdot10^{22} + 590\cdot10^{22} + 1.3\cdot10^{22} = (7.3 + 590 + 1.3)10^{22} = 598.6\cdot10^{22}

6 0
3 years ago
Determine the whether the quadratic equation below has a maximum or minimum.<br> y = 4x² – 3x - 43
Alex
A minimum because the function is positive. Positive quadratic functions always concave upwards (in a “bowl-like” shape), creating a curve/minimum at the bottom.
4 0
2 years ago
Read 2 more answers
Other questions:
  • Redo, Answers please?
    5·2 answers
  • Evaluate 9 C 5.<br><br> 24 <br><br> 3,024<br><br> 45<br><br> 126
    13·2 answers
  • If a third point is drawn 5 units to the left of (3, 5), in order to form the base of a right triangle, what are the coordinates
    13·1 answer
  • How do you convert 15 feet into centimeters?
    11·2 answers
  • X over three equals two
    11·1 answer
  • How can models be used to generate and analyze patterns?
    11·2 answers
  • Write an equation to represent
    6·1 answer
  • One way to help end poverty?
    11·2 answers
  • Please help. What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation
    14·1 answer
  • Find the value of n<br><br><br><br><br>1) 15/40 =n/3​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!