Answer:
$6.76
Step-by-step explanation:
Multiply 8.45 by 0.8 and you will get 6.76
X-intercept has coordinates (x,0)
Y-intercept has coordinates (0,y)
So, the statement "<span> The ordered pair of x-intercept has a zero for the x-value" is false.
</span><span> The ordered pair of x-intercept has a zero for the y-value.</span>
Answer:
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,
<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.
</em>
<em>What is the volume of the pyramid?</em>
My answer:
As we know, The volume of a pyramid = 
base area × its height
Given:
- Side lenght of the base is;
=> The area of the base is 
- In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°
We use: 
<=> BC = 
= 4 cm
And BC is the height of the the pyramid
=> The volume of a pyramid = * 4 cm
=
We know that
Applying the law of cosines:
<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a,b and c are sides of the triangle and C is the angle opposite side c </span>
<span>that is </span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>
<span>solve for C </span>
<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500-57,600-40,000 = -96,000cos(C)
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)--------> C=38.53°°
<span>hence, </span>
<span>he should turn in the direction of island b by
180 - 38.53 </span><span>= 141.47 degrees</span>
Hey there! I'm happy to help!
We want to see how many times bigger 2/5 is than 9/10. Let's call how much bigger 2/5 is b and solve below.
9/10b=2/5 (2/5 is b times larger than 9/10)
We divide both sides by 9/10, so your division would be 2/5÷9/10.
b=4/9
Therefore, the builder worked 4/9 times as long in the morning as he did in the afternoon.
Have a wonderful day! :D
