All categories

3 years ago

What is the value of x in feet? (Perimeter and area)

Mathematics

1 answer:

babymother [125]3 years ago

4 0

Answer:

x = 71.937 ft or 72 ft

Perimeter = 187 ft

Area of triangle = 1260 ft²

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

a = 35

b = x

c = 80

35^2 + x^2 = 80^2

x^2 = 5175

x = 71.937 ft or about 72 ft

Perimeter = a + b + c = 35 + 72 + 80 = 187 ft

Area of triangle =1/2*base*height= 1/2(72)(35) = 1260ft^2

You might be interested in

Which diagram shows that the two triangles must be congruent

Arte-miy333 [17]

Answer:

D. 2 and 3 only

Step-by-step explanation:

I took the test. I am in Honors Geometry.

5 0

3 years ago

How do you solve this problem?

Eduardwww [97]

$\bf \displaystyle \int \left( 4+\cfrac{5}{t}+\cfrac{10}{t^2} \right)dt\\\\
-----------------------------\\\\
\displaystyle \int 4 \cdot dt+5\int \cfrac{1}{t}\cdot dt+10\int t^{-2}\cdot dt
\implies 
4t+5ln|t|-\cfrac{10}{t}+C$

3 0

3 years ago

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2. What is the vol

Pavel [41]

Solution:

Let me define pyramid first.A pyramid is a Polyhedron , whose base can be any polygon and it's faces are triangular which meet at a point called vertex.

Volume of Pyramid = $\frac{1}{2}\times{\text{Area of Base}\times{\text{Height}$

Side of base which is an equilateral triangle= 4 cm

Area of whole pyramid = 12 square cm

Area of Equilateral triangle having side 4 cm= $\frac{\sqrt3}{4}\times(Side)^2=\frac{\sqrt3}{4}\times(4)^2=4 \sqrt3$ cm²

So, Area of three triangle which are faces of pyramid = (12 - 4 √3)cm²

Area of triangle = $\frac{1}{2} \times (Base)\times(Height)$

12 - 4 √3= $\frac{1}{2} \times (4)\times(Height)$

Height = $\frac{12-4\sqrt3}{2}$

Height=(6-2√3) cm

Volume of pyramid = Area of Equilateral triangle which is it's Base × Height of Pyramid

=4√3 × (6-2√3) cm³

=(24 √3 -24)

= 24 (1.732-1)

=24 × 0.732

=17.568 cm³

8 0

3 years ago

Read 2 more answers

Preform the indicated operation and express the answer in simplest radical form

tigry1 [53]

hello

the question here is

$3\sqrt[]{7}(14-4\sqrt[]{56})$

step 1

multiply through the bracket by the coeffiecient

$\begin{gathered} 3\sqrt[]{7}(14-4\sqrt[]{56}) \\ (3\sqrt[]{7}\times14)-(3\sqrt[]{7}\times4\sqrt[]{56}) \\ (14\times3\sqrt[]{7})-3\sqrt[]{7}\times4\sqrt[]{4\times14} \\ (42\sqrt[]{7})-3\sqrt[]{7}\times8\sqrt[]{14} \\ (42\sqrt[]{7})-\lbrack(3\times8)\sqrt[]{7\times14} \\ 42\sqrt[]{7}-24\sqrt[]{98} \end{gathered}$ $\begin{gathered} 42\sqrt[]{7}-24\sqrt[]{49\times2} \\ 42\sqrt[]{7}-24\times7\sqrt[]{2} \\ 42\sqrt[]{7}-168\sqrt[]{2} \end{gathered}$

5 0

1 year ago

A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. Wh

cupoosta [38]

The radius of the given circle with a central angle of 7π/10 and arc length of 33cm is 15cm.

It is given that

The central angle of the given circle = 7π/10 radians

Length of arc = 33cm

<h3>What is the formula for arc length?</h3>

Arc length = central angle* radius

From the above formula

Radius = Arc length/Central Angle

Radius = $\frac{33}{(7\pi)/10 }$

Radius = 15cm

Therefore, radius of the given circle is 15cm.

to get more about circles visit:

brainly.com/question/22965557

8 0

2 years ago