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Eduardwww [97]
2 years ago
10

PLZZZ HELP ME ASAP PLZZZZZ

Mathematics
1 answer:
Lisa [10]2 years ago
5 0

Answer:

14.7cm^3

Step-by-step explanation:

The volume formula for a pyramid is l·w·h/3 or BH/3

The base of the height is 6.9 and the height is 6.4

(6.9)(6.4)=44.16

44.16/3=14.72

14.72 rounded to the nearest tenth is 14.7cm^3

Hope this helps! :)

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A 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St
ohaa [14]

Answer:

41.802 feet

Step-by-step explanation:

Given that a  92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.

We can visualize a triangle formed by the three streets One side is 92 feet.

Angle opposite 92 feet = 180-68-34 = 78

Let x be length of Cove st and y length of Mateo st.

Using sine angle for triangles,

\frac{92}{sin 78} =\frac{x}{sin 34} =\frac{y}{sin 68}

Simplify to get

x=52.595

y=87.207

Distance saved= x+y-92\\= 139.802-92\\=41.802

7 0
3 years ago
Read 2 more answers
Identify the center and radius of each. Then sketch the graph.<br> (x-1) +(v + 3) = 4
zepelin [54]

Answer:

(3-1) + (1+3) = 4

Step-by-step explanation:

it is what i put there cause both letters you have to change it to a nuber thats makes the equation work up to 4

8 0
2 years ago
Find the length of the following​ two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 &lt; t &lt; 16
andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)}     dt

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)}     dt

Doing the operations inside of the brackets the derivatives are:

1 ) (\frac{d((1/2)t^2)}{dt} )^2= t^2

2) \frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1

Entering these values of the integral is

r(t)= \int\limits^{16}_{0}  \sqrt{t^2 +2t+1}     dt

It is possible to factorize the quadratic function and the integral can reduced as,

r(t)= \int\limits^{16}_{0} (t+1)  dt= \frac{t^2}{2} + t

Thus, evaluate from 0 to 16

\frac{16^2}{2} + 16

The value is r= 144 units

5 0
3 years ago
Jeremy traveled 345 miles to visit his cousin in north carolina. if he traveled at a rate of 60 miles per hour, how long did the
Orlov [11]
The trip took 5 hours and 45 mins
3 0
3 years ago
Application of Geometric Series
Gnoma [55]

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  \displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112

Then the value of the entire given expression is ...

  \displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}

_____

A calculator can help you find the value.

6 0
2 years ago
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