Answer:
50°, 60°, 70°
Step-by-step explanation:
Sum the parts of the ratio, 5 + 6 + 7 = 18 parts
The 3 angles in a triangle sum to 180° , then
180° ÷ 18 = 10° ← value of 1 part of the ratio, then
5 parts = 5 × 10° = 50°
6 parts = 6 × 10° = 60°
7 parts = 7 × 10° = 70°
The angle measures of the triangle are 50° , 60° , 70°
It is 25-6 7 :) that gonna be right
Answer:
1.a=2
2. C x=2 and x=-3
Step-by-step explanation:
The standard form for the quadratic function is
ax^2 +bx+c
so we need to rewrite the function to be in this form
2x^2 -10 = 7x
Subtract 7x from each side
2x^2 -7x-10 = 7x-7x
2x^2 -7x-10 = 0
a =2, b= -7 c=-10
2. The quadratic formula is
-b ± sqrt(b^2 -4ac)
----------------------------
2a
2x^2 + 2x=12
Lest get the equation in proper form
2x^2 + 2x-12 = 12-12
2x^2 +2x-12 =0
a=2 b=2 c=-12
Lets substitute what we know
-2 ± sqrt(2^2 -4(2)(-12))
----------------------------
2(2)
-2 ± sqrt(4+96)
----------------------------
2(2)
-2 ± sqrt(100)
----------------------------
4
-2 ± 10
----------------------------
4
-2 + 10 -2-10
----------- and --------------
4 4
8/4 and -12/4
2 and -3
Answer:
5
Step-by-step explanation:
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1. To find the vertex of a parabolla whose equation is written in the standard form, you must apply the following proccedure:
2. You have:
y=-0.18x²+4.4x-12
a=-0.18
b=4.4
3. You must apply the following formula:
<span>
x=-b/2a
x=-4.4/2(-0.18)
x=-4.4/-0.36
x=12.22
4. When you susbtitute x=12.22 into the equation </span>y=-0.18x²+4.4x-12, you obtain:
y=-0.18x²+4.4x-12
y=-0.18(12.22)²<span>+4.4(12.22)-12
</span> y=14.88 feet
5. The answer is: The maximum height of the tunnel is <span>14.88 feet</span>
