Answer:
Step-by-step explanation:
x^2 + 2x = 6x+45
x^2 -4x -45 =0
x^2 - 5x +9x -45 =0
x(x-5) +9 (x-5)=0
(x-5)(x+9)=0
x = 5, -9
x = 5; measure of exterior angle = 5^2+2(5) = 35
x=-9; measure of exterior angle = (-9)^2 + 2(-9) = 63
Answer:
397.7 m²
Step-by-step Explanation:
Step 1: find m < W
W = 180 - (33+113) (sum of ∆)
W = 34°
Step 2: find side UV using the law of sines
Multiply both sides by sin(34)
(approximated)
Step 3: find the area using the formula, ½*UV*VW*sin(V)
area = ½*29.8*29*sin(113)
Area = 397.7 m² (rounded to the nearest tenth.
We have that
<span>3x-2y=8 -----> equation 1
2x+3y=Q----> equation 2
the solution is the point </span><span>(4,2)
in the equation 2 substitute the value of
x=4
y=2
so
</span>2x+3y=Q------> 2*4+3*2=Q-------> Q=8+6------> Q=14
<span>
the answer is
Q=14
</span>
Tina should make 31 inch tall model to replicate 155 feet tall monument.
Step-by-step explanation:
This problem can be solved by direct unitary methods easily-
Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model
Scale= original dimension/ model dimension
Model is the miniaturised representation of a substance.
The monument is 155 feet tall
Tina replicates it with a scale 1inch: 5 feet
Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.
Hence Tina needs to make 31-inch tall model.
