8^2 /2+5(15-7)
=64/2+75-35
=32+40
=72
<span><span>3<span>(<span>5−9</span>)</span></span>+<span>4<span>(<span>4−9</span>)
</span></span></span><span>=<span><span><span>(3)</span><span>(<span>−4</span>)</span></span>+<span>4<span>(<span>4−9</span>)
</span></span></span></span><span>=<span><span>−12</span>+<span>4<span>(<span>4−9</span>)
</span></span></span></span><span>=<span><span>−12</span>+<span><span>(4)</span><span>(<span>−5</span>)
</span></span></span></span><span>=<span><span>−12</span>+<span>−20
</span></span></span><span>=<span>−32
</span></span><span><span>10<span>(<span>9−18</span>)</span></span>−<span>32
</span></span><span>=<span><span><span>(10)</span><span>(<span>−9</span>)</span></span>−<span>32
</span></span></span><span>=<span><span>−90</span>−<span>32
</span></span></span><span>=<span><span>−90</span>−9
</span></span><span>=<span>−<span>99
</span></span></span><span><span>−<span>12<span>(<span>5−7</span>)</span></span></span>−<span>10<span>(<span>2−5</span>)
</span></span></span><span>=<span><span><span>(<span>−12</span>)</span><span>(<span>−2</span>)</span></span>−<span>10<span>(<span>2−5</span>)
</span></span></span></span><span>=<span>24−<span>10<span>(<span>2−5</span>)
</span></span></span></span><span>=<span>24−<span><span>(10)</span><span>(<span>−3</span>)
</span></span></span></span><span>=<span>24−<span>(<span>−30</span>)
</span></span></span><span>=<span>54</span></span>
Answer:
r = 19.2deg
Step-by-step explanation:
6r + 5 = 30 + 90 (exterior angles of a triangle)
6r = 115
r = 19.2deg (1dp)
Topic: Angles
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We can split the shape into a square of lengths, 12*12 and a triangle of lengths, 8*12. (This shape is not to scale BTW) The area of the square is 144, and the area of the right triangle is 48, so the answer is 192 square units squared.
Another way of doing this is using the trapezoid area formula, which is
(b1 + b2)/2 * h. So 32/2 * 12 = 16*12 = 192.
Answer:
Step-by-step explanation:
Jamie is correct.
two angles are equal in an isosceles triangle.
let the angles be x,x,y
if she knows x
then y=180-(x+x)=180-2x
so she can find y
similarly if she knows y then she can calculate x.
To solve the problem shown above you must apply the following proccedure:
1. Let's call:
x: a number.
f: the factor.
2. Then, you have:
√fx=3√x
3. You must clear the factor "f" to calculate its value, as below:
√fx=3√x
(√fx)²=(3√x)²
fx=9x
f=9x/x
4. Then, the factor is:
f=9
5. Therefore, b<span>y what factor must you multiply a number in order to triple its square root?
</span>
The answer is: 9