To solve this problem you must apply the proccedure shown below:
To m<span>atch each equation with its y-intercept x must be zero, so you have:
x=0 and solve for y, as following:
1) cx+by=a (0,a/b)
y=a/b
2) bx+ay=c (0,c/a)
y=c/a
3) ax+by=c (0,c/b)
y=c/b
4) cx+ay=b (0,b/a)
y=b/a
</span>
Answer:
(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))
Step-by-step explanation:
Base of the Pyramid = 8 Inches
Height of the Triangular Face = 6.9 Inches
In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.
Since the four triangles are congruent:
Lateral Surface Area = 4 X Area of One Triangle
Area of a Triangle = ![\frac{1}{2}$ X Base X Height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%24%20X%20Base%20X%20Height)
Area of one Triangular Face ![= \dfrac{1}{2}(8)(6.9)](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B1%7D%7B2%7D%288%29%286.9%29)
Therefore:
Lateral Surface Area ![= 4\left(\dfrac{1}{2}(8)(6.9)\right)](https://tex.z-dn.net/?f=%3D%204%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%288%29%286.9%29%5Cright%29)
Therefore, Talia is correct.
Answer:
26
Step-by-step explanation:
[(7+3)5-4]/2+3
-To solve this equation you have to use PEMDAS
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction-
- With MD and AS you work left to right of the equation since they are in the same spot. (PE[MD][AS])
Step 1) [(10)5-4]/2+3
- First you do "P," parentheses, so you add 7+3=10
Step 2) [50-4]/2+3
- Next you do "M," multiplication, and multiply 10x5=50
Step 3) [46]/2+3
- Then you do "S," subtraction, and subtract 50-4=46
(FYI: Steps 1-3 were still in the parentheses. We had to start with the parentheses in the parentheses, work PEMDAS, and now we are out of the parentheses and have to work PEMDAS on the rest of the problem.)
Step 4) 23+3
- Now we do "D," division, and divide 46/2=23
Step 5) 23+3=6
- Finally we do "A," addition, and add 23+3=26 so the answer is 26
(FYI: "/" means division)
Average must be 225 or more
4 games so
![\frac{score1+score2+score3+score4}{4} \geq 225](https://tex.z-dn.net/?f=%20%5Cfrac%7Bscore1%2Bscore2%2Bscore3%2Bscore4%7D%7B4%7D%20%20%5Cgeq%20225)
score1=192
score2=214
score3=250
score4=?
so
![\frac{192+214+250+?}{4} \geq 225](https://tex.z-dn.net/?f=%20%5Cfrac%7B192%2B214%2B250%2B%3F%7D%7B4%7D%20%20%5Cgeq%20225)
![\frac{656+?}{4} \geq 225](https://tex.z-dn.net/?f=%20%5Cfrac%7B656%2B%3F%7D%7B4%7D%20%20%5Cgeq%20225)
times both sides by 4 to clear fraction
656+?≥900
minus 656 from both sides
?≥244
min score is 244