Answer:
the correct answer in the 5 untils 2 untils 2 untils 3 untils 2 untils
Step-by-step explanation:
Answer:
396
Step-by-step explanation:
100% = 360
10% = 100% * (10/100) = 100%/10 = 360/10 = 36
previous salary plus the 10% raise = 360 + 36 = 396 =
= new salary
We know that
the equation of a parabola is of the form
y=a*(x-h)²+k--------> is a vertical parabola
(h,k) is the vertex
y=−14x²<span>+4x−19
</span><span>Factor the
leading coefficient </span>
y=-14*(x²-4/14x)-19
y=-14*(x²-2/7x)-19
<span>Complete
the square Remember to balance the equation </span>
y=-14*(x²-2/7x+(1/49)-(1/49))-19
y=-14*(x²-2/7x+(1/49))-19+14/49
<span>Rewrite as perfect squares</span>
y=-14*(x-1/7)²-917/49
the vertex of the parabola is
h=(1/7)-----> 0.1429
k=(-917/49)----> -18.7143
the vertex of the parabola is(0.1429, -18.7143)
see the attached figure
Answer: (92, 128)
Step-by-step explanation:
According to the Empirical rule,
If the population is normallly distributed, then 95% of the population lies within 2 standard deviations from the mean.
Given: Mean = 110
Standard deviation = 9
The interval of systolic blood pressures represent the middle 95% of males:
(110-2(9), 110+2(9))
= (110-18, 110+18)
= (92, 128)
Hence, the interval of systolic blood pressures that represent the middle 95 % of males = (92, 128)
Answer:
The measure of angle CAD is 83 degrees.
Step-by-step explanation:
Given information: ABCD is a parallelogram, AC is a diagonal,
and
.
The opposite sides of parallelogram are congruent.
The diagonal AC divides the parallelogram in two congruent triangles.
In triangle ABC and ADC,
(Opposite sides of parallelogram)
(Opposite angles of parallelogram)
(Opposite sides of parallelogram)
By SAS postulate,

Since we know that opposite angles of parallelogram are equal, therefore


According to the angle sum property the sum of interior angles of a triangle is 180 degrees.



Therefore the measure of angle CAD is 83 degrees.