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kari74 [83]
3 years ago
15

What is the area of a triangle with a base length is 3 1/2 inches and a height of 3 inches?

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0
Area is length times width. so 3.5 * 3 would be an area of 10 and a half
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Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.
Feliz [49]

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x

3 0
2 years ago
Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin
Elanso [62]

Answer:

The equation of circle is x^2+y^2=65.

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula the radius of circle is

r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2         .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and r=\sqrt{65} in equation (1).

(x-0)^2+(y-0)^2=(\sqrt{65})^2

x^2+y^2=65

Therefore the equation of circle is x^2+y^2=65.

5 0
3 years ago
Based on your value of x in question #1, what is the value for ∠EHF
Ludmilka [50]

Answer:

∠EHF = 132°

Step-by-step explanation:

Both angles lie on a straight line.

=====================

  • ∠EHF + ∠FHG = 180°
  • 2(x) + 48° = 180°
  • 2(x) = 180° - 48°
  • 2(x) = 132°
  • x = 66°

Then ∠EHF :

  • 2(x)
  • 2(66)
  • 132°
6 0
2 years ago
‼️ WILL LIST BRAINLIEST ‼️ -5/6 x -3/4​
ella [17]

Answer:

5/8

that's the answer:)

6 0
3 years ago
Read 2 more answers
!!!!
lakkis [162]
Incorect, you messed up on the second step. 7x4x is not 7x, it is 28x.
6 0
3 years ago
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