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3 years ago

Which expression is equivalent to h+0.67h-0.36h

Mathematics

1 answer:

Step2247 [10]3 years ago

6 0

Answer:

= 1.31h

Step-by-step explanation:

h = 1h

then:

h + 0.67h 0.36h = (1+0.67-9.36)h

= 1.31h

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an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are

Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

In a triangle ABC. Please find the attachment for figure.

$\angle A=70^{\circ}$

$\angle B=\angle C=55^{\circ}$

Side BC=a = 10 in

Using sine law of trigonometry,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Substitute the given value into formula.

$\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}$

$\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}$

Cross multiply and we get

$b=\sin 55\times \dfrac{10}{\sin 70}$

$b=8.72$ in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

7 0

3 years ago

Given that the quadratic equation has equal roots (k^2-1)x^2-2kx-3k-1=0

Alik [6]

Answer:

(See explanation for further details)

Step-by-step explanation:

The real expression is:

$(k^{2}-1)\cdot x{{2} - 2\cdot k \cdot x - 3\cdot k + 1 = 0$

The general equation for the second-order polynomial is:

$x = \frac{2\cdot k \pm \sqrt{4\cdot k^{2}-4\cdot (k^{2}-1)\cdot (-3\cdot k + 1)}}{k^{2}-1}$

This condition must be observed for the case of a quadratic equation with equal roots:

$4\cdot k^{2} - 4\cdot (k^{2}-1)\cdot (-3\cdot k + 1) = 0$

$k^{2} + (k^{2}-1)\cdot (3\cdot k + 1) = 0$

$k^{2} + 3\cdot k^{3} - 3\cdot k - k^{2}-1 = 0$

$3\cdot k^{3} - 3\cdot k - 1 = 0$

7 0

3 years ago

If the equation y = 1 3 x + 2 is changed to y = 3x + 2, what will be true about the graph of the equation? A) The graph will shi

MrRa [10]

Answer:

Step-by-step explanation:

The number which multiplies x is the slope of the graph so 13x becoming 3x means the slope of the graph will change.

4 0

3 years ago

Find the area of the figure.

BabaBlast [244]

Answer:

220.5

Step-by-step explanation:

I am pretty sure

7 x 5 ÷ 2 = 17.5

12 x 14 = 168

Add them up to get 220.5

Formula of trapezoid:

Base 1 + Base 2 times height times half (basically dividing by 2)

Formula of parallelogram:

height times width

5 0

2 years ago

A child's rugby ball is 10 cm long

andreev551 [17]

10/200 = 22/x

22(200) = 4400

4400/10 = 440

answer = 440 cm

6 0

2 years ago